// Numbas version: exam_results_page_options
{"name": "OpenIntro Section 7.5", "metadata": {"description": "", "licence": "None specified"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", "", "", ""], "questions": [{"name": "7.35 Fill in the blank.", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "L1Stats UofG", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5882/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p style=\"text-align: left;\">When doing an ANOVA, you observe large differences in means between groups. Within the ANOVA framework, this would most likely be interpreted as evidence strongly favoring the [[0]] hypothesis.</p>\n<p></p>", "gaps": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["null", "alternative"], "matrix": [0, "1"], "distractors": ["", ""]}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "7.37 Chicken diet and weight", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Screenshot_2020-10-30_at_10.11.41.png", "/srv/numbas/media/question-resources/Screenshot_2020-10-30_at_10.11.41.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "L1Stats UofG", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5882/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Chicken farming is a multi-billion dollar industry, and any methods that increase the growth rate of young chicks can reduce consumer costs while increasing company profits, possibly by millions of dollars. An experiment was conducted to measure and compare the effectiveness of various feed supplements on the growth rate of chickens. Newly hatched chicks were randomly allocated into six groups, and each group was given a different feed supplement. Below are some summary statistics from this data set along with box plots showing the distribution of weights by feed type.</p>\n<p></p>\n<p></p>\n<p><img src=\"resources/question-resources/Screenshot_2020-10-30_at_10.11.41.png\"/></p>\n<p>The ANOVA output below can be used to test for differences between the average weights of chicks on different diets.</p>\n<table width=\"758\" height=\"71\">\n<tbody>\n<tr>\n<td></td>\n<td>Df</td>\n<td>Sum Sq</td>\n<td>Mean Sq</td>\n<td>F value</td>\n<td>p-value</td>\n</tr>\n<tr>\n<td>feed</td>\n<td>5</td>\n<td>231129.16</td>\n<td>46225.83</td>\n<td>15.36</td>\n<td>0.0000</td>\n</tr>\n<tr>\n<td>Residuals</td>\n<td>65</td>\n<td>195556.02</td>\n<td>3008.55</td>\n<td></td>\n<td></td>\n</tr>\n</tbody>\n</table>\n<p>Conduct a hypothesis test to determine if these data provide convincing evidence that the average weight of chicks varies across some (or all) groups.</p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "a)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The conditions for an ANOVA are:</p>\n<p>Independence: Chicks are randomly assigned to feed types (presumably kept separate from one another), therefore independence of observations&nbsp;[[0]] reasonable.</p>\n<p>Approximately normal: The distributions of weights within each feed type appear [[1]] fairly symmetric, with the possible exception of the sunflower group.</p>\n<p>Constant variance: Based on the side-by-side box plots, the constant variance assumption appears&nbsp;[[2]] reasonable.</p>\n<p></p>\n<p>The hypotheses are:</p>\n<p>$H_0: \\mu_1 = \\mu = 2 = ... = \\mu_6$</p>\n<p>$H_A:$&nbsp;The average weight varies across some (or all) groups.</p>\n<p></p>\n<p>The F-value = [[3]].</p>\n<p>The p-value&nbsp;[[4]] approx. 0.&nbsp;</p>\n<p></p>\n<p>With such a&nbsp;[[5]] p-value, we&nbsp;[[6]] $H_0$.</p>\n<p>The data provide convincing evidence that the average weight of chicks [[7]] across some (or all) feed supplement groups.</p>", "gaps": [{"type": "1_n_2", "useCustomName": true, "customName": "answer 1", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["is", "is not"], "matrix": ["1", 0], "distractors": ["", ""]}, {"type": "1_n_2", "useCustomName": true, "customName": "answer 2", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["to be", "not to be"], "matrix": ["1", 0], "distractors": ["", ""]}, {"type": "1_n_2", "useCustomName": true, "customName": "answer 3", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["to be", "not to be"], "matrix": ["1", 0], "distractors": ["", ""]}, {"type": "numberentry", "useCustomName": true, "customName": "answer 4", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "15.36", "maxValue": "15.36", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "1_n_2", "useCustomName": true, "customName": "answer 5", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["is", "is not"], "matrix": ["1", 0], "distractors": ["", ""]}, {"type": "1_n_2", "useCustomName": true, "customName": "answer 6", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["small", "large"], "matrix": ["1", 0], "distractors": ["", ""]}, {"type": "1_n_2", "useCustomName": true, "customName": "answer 7", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["reject", "fail to reject"], "matrix": ["1", 0], "distractors": ["", ""]}, {"type": "1_n_2", "useCustomName": true, "customName": "answer 8", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["varies", "does not vary"], "matrix": ["1", 0], "distractors": ["", ""]}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "7.39 Coffee, depression, and physical activity", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Screenshot_2020-10-30_at_10.19.17.png", "/srv/numbas/media/question-resources/Screenshot_2020-10-30_at_10.19.17.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "L1Stats UofG", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5882/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Caffeine is the world&rsquo;s most widely used stimulant, with approximately 80% consumed in the form of coffee.</p>\n<p>Participants in a study investigating the relationship between coffee consumption and exercise were asked to report the number of hours they spent per week on moderate (e.g., brisk walking) and vigorous (e.g., strenuous sports and jogging) exercise. Based on these data the researchers estimated the total hours of metabolic equivalent tasks (MET) per week, a value always greater than 0.</p>\n<p></p>\n<p>The table below gives summary statistics of MET for women in this study based on the amount of coffee consumed.</p>\n<p><img src=\"resources/question-resources/Screenshot_2020-10-30_at_10.19.17.png\"/></p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "a)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What are the hypotheses for this test?</p>\n<p>$H_0:$&nbsp;The mean MET for each group is [[0]] to each other.</p>\n<p>$H_A:$&nbsp;At least one pair of means [[1]] different.</p>", "gaps": [{"type": "1_n_2", "useCustomName": true, "customName": "answer 1", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["equal", "not equal"], "matrix": ["1", 0], "distractors": ["", ""]}, {"type": "1_n_2", "useCustomName": true, "customName": "answer 2", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["is", "is not"], "matrix": ["1", 0], "distractors": ["", ""]}], "sortAnswers": false}, {"type": "m_n_2", "useCustomName": true, "customName": "b)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What are the conditions needed for an ANOVA?</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "checkbox", "displayColumns": 0, "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "choices": ["Independence", "Dependence", "Normality", "Non-normality", "Constant Variance", "Non-constant variance"], "matrix": ["1", 0, "1", 0, "1", 0], "distractors": ["", "", "", "", "", ""]}, {"type": "gapfill", "useCustomName": true, "customName": "c)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Fill in the gaps to complete the output.</p>\n<table width=\"614\" height=\"108\">\n<tbody>\n<tr>\n<td style=\"width: 86px; text-align: center;\"></td>\n<td style=\"width: 86px; text-align: center;\">df</td>\n<td style=\"width: 86px; text-align: center;\">Sum Sq</td>\n<td style=\"width: 86px; text-align: center;\">Mean Sq</td>\n<td style=\"width: 86px; text-align: center;\">F value</td>\n<td style=\"width: 87px; text-align: center;\">p-value</td>\n</tr>\n<tr>\n<td style=\"width: 86px; text-align: center;\">coffee</td>\n<td style=\"width: 86px; text-align: center;\">[[0]]</td>\n<td style=\"width: 86px; text-align: center;\">[[3]]</td>\n<td style=\"width: 86px; text-align: center;\">[[4]]</td>\n<td style=\"width: 86px; text-align: center;\">[[6]]</td>\n<td style=\"width: 87px; text-align: center;\">0.0003</td>\n</tr>\n<tr>\n<td style=\"width: 86px; text-align: center;\">Residuals</td>\n<td style=\"width: 86px; text-align: center;\">[[1]]</td>\n<td style=\"width: 86px; text-align: center;\">25564819</td>\n<td style=\"width: 86px; text-align: center;\">[[5]]</td>\n<td style=\"width: 86px; text-align: center;\"></td>\n<td style=\"width: 87px; text-align: center;\"></td>\n</tr>\n<tr>\n<td style=\"width: 86px; text-align: center;\"></td>\n<td style=\"width: 86px; text-align: center;\"></td>\n<td style=\"width: 86px; text-align: center;\"></td>\n<td style=\"width: 86px; text-align: center;\"></td>\n<td style=\"width: 86px; text-align: center;\"></td>\n<td style=\"width: 87px; text-align: center;\"></td>\n</tr>\n<tr>\n<td style=\"width: 86px; text-align: center;\">Total</td>\n<td style=\"width: 86px; text-align: center;\">[[2]]</td>\n<td style=\"width: 86px; text-align: center;\">25575327</td>\n<td style=\"width: 86px; text-align: center;\"></td>\n<td style=\"width: 86px; text-align: center;\"></td>\n<td style=\"width: 87px; text-align: center;\"></td>\n</tr>\n</tbody>\n</table>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "answer 1", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "4", "maxValue": "4", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "answer 2", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "50734", "maxValue": "50734", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "answer 3", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "50738", "maxValue": "50738", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "answer 4", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "10508", "maxValue": "10508", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "answer 5", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "2627", "maxValue": "2627", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "answer 6", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "504", "maxValue": "504", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "answer 7", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "5.2", "maxValue": "5.2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "1_n_2", "useCustomName": true, "customName": "d)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What&nbsp;is the correct conclusions of the test?</p>\n<p></p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["Since p-value is low, we reject $H_0$. The data provide convincing evidence that the average MET differs between at least one pair of groups.", "Since p-value is low, we fail to reject $H_0$. There is no evidence of a difference in the average MET between the groups."], "matrix": ["1", 0], "distractors": ["", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "7.41 GPA and major", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Screenshot_2020-10-30_at_10.19.17_cWFZn3Q.png", "/srv/numbas/media/question-resources/Screenshot_2020-10-30_at_10.19.17_cWFZn3Q.png"], ["question-resources/Screenshot_2020-10-30_at_10.28.50_5e6jfXf.png", "/srv/numbas/media/question-resources/Screenshot_2020-10-30_at_10.28.50_5e6jfXf.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "L1Stats UofG", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5882/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Undergraduate students taking an introductory statistics course at Duke University conducted a survey about GPA and major. The side-by-side box plots show the distribution of GPA among three groups of majors. Also provided is the ANOVA output.</p>\n<p></p>\n<p><img src=\"resources/question-resources/Screenshot_2020-10-30_at_10.28.50_5e6jfXf.png\"/></p>\n<p></p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "a)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What are the hypotheses?</p>\n<p></p>\n<p>$H_0:$&nbsp;Average GPA is&nbsp;[[0]]&nbsp;for all majors</p>\n<p>$H_A:$&nbsp;At least one pair of means&nbsp;[[1]]&nbsp;different.</p>", "gaps": [{"type": "1_n_2", "useCustomName": true, "customName": "answer 1", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["the same", "different"], "matrix": ["1", 0], "distractors": ["", ""]}, {"type": "1_n_2", "useCustomName": true, "customName": "answer 2", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["are", "are not"], "matrix": ["1", 0], "distractors": ["", ""]}], "sortAnswers": false}, {"type": "1_n_2", "useCustomName": true, "customName": "b)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Given the p-value from the output, what is the conclusion?</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["Since p-value &gt; 0.05, fail to reject $H_0$. The data do not provide convincing evidence of a difference between the average GPAs across three groups of majors.", "Since p-value &gt; 0.05, reject $H_0$. The data do not provide convincing evidence of a difference between the average GPAs across three groups of majors."], "matrix": ["1", 0], "distractors": ["", ""]}, {"type": "numberentry", "useCustomName": true, "customName": "c)", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the sample size?</p>", "minValue": "198", "maxValue": "198", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "7.43 True / False: ANOVA", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "L1Stats UofG", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5882/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Determine if the following statements are true or false in ANOVA.</p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": true, "customName": "a)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>As the number of groups increases, the modified significance level for pairwise tests increases as well.</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["True", "False"], "matrix": [0, "1"], "distractors": ["Think about what happens when the number of groups increases and what effect that has on the number of comparisons. ", "As the number of groups increases, so does the number of comparisons and hence the modified significance level decreases."]}, {"type": "1_n_2", "useCustomName": true, "customName": "b)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>As the total sample size increases, the degrees of freedom for the residuals increases as well.</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["True", "False"], "matrix": ["1", "0"], "distractors": ["", "Review Section 7.5"]}, {"type": "1_n_2", "useCustomName": true, "customName": "c)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The constant variance condition can be somewhat relaxed when the sample sizes are relatively consistent across groups.</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["True", "False"], "matrix": ["1", "0"], "distractors": ["", "Review Section 7.5"]}, {"type": "1_n_2", "useCustomName": true, "customName": "d)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The independence assumption can be relaxed when the total sample size is large</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["True", "False"], "matrix": ["0", "1"], "distractors": ["Review Section 7.5 and think about the independence assumption. ", "We need observations to be independent regardless of sample size."]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "7.45 Prison isolation experiment (no part b)", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Screenshot_2020-10-30_at_10.46.01.png", "/srv/numbas/media/question-resources/Screenshot_2020-10-30_at_10.46.01.png"], ["question-resources/Screenshot_2020-10-30_at_10.48.51.png", "/srv/numbas/media/question-resources/Screenshot_2020-10-30_at_10.48.51.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "L1Stats UofG", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5882/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Note: This question follows on from question 7.31, please look at this question again for more details.</p>\n<p>An experiment that was conducted with the goal of identifying a treatment that reduces subjects&rsquo; psychopathic deviant T scores, where this score measures a person&rsquo;s need for control or his rebellion against control. This analysis involves comparing the success of treatments. The relevant ANOVA output is given below.</p>\n<p></p>\n<p><img src=\"resources/question-resources/Screenshot_2020-10-30_at_10.46.01.png\"/></p>\n<p></p>", "advice": "<p>c)</p>\n<p>$SE = \\sqrt{\\frac{9.739^2}{14} + \\frac{9.739^2}{14}} = 3.7$</p>\n<p></p>\n<p>$T = \\frac{(6.21 - 2.86) - 0}{3.7} = 0.91$</p>", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "a)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The hypotheses are:</p>\n<p>$H_0:$&nbsp;Average score difference is the same for all treatments</p>\n<p>$H_1$:&nbsp;At least one pair of means are different.</p>\n<p></p>\n<p>What is the conclusion of the test at the 5% level?</p>\n<p>[[0]]</p>\n<p></p>", "gaps": [{"type": "1_n_2", "useCustomName": true, "customName": "answer 1", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["Since the p-value is less than 0.05, reject $H_0$. The data provide convincing evidence of a difference between the average reduction in score among treatments.", "Since the p-value is less than 0.05, fail to reject $H_0$. The data provide convincing evidence of a difference between the average reduction in score among treatments."], "matrix": ["1", 0], "distractors": ["", ""]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "b)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Conduct pairwise tests to determine which groups are different from each other.</p>\n<p></p>\n<p><img src=\"resources/question-resources/Screenshot_2020-10-30_at_10.48.51.png\"/></p>\n<p></p>\n<p>$K$ = 3 x 2/2 = 3 pairwise t-test</p>\n<p>The new significance level is [[0]].</p>\n<p></p>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "answer 0 ", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "0.0167", "maxValue": "0.0167", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}], "allowPrinting": true, "navigation": {"allowregen": true, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": true, "showresultspage": "oncompletion", "navigatemode": "sequence", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": ""}, "timing": {"allowPause": true, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "none", "message": ""}}, "feedback": {"showactualmark": true, "showtotalmark": true, "showanswerstate": true, "allowrevealanswer": true, "advicethreshold": 0, "intro": "", "reviewshowscore": true, "reviewshowfeedback": true, "reviewshowexpectedanswer": true, "reviewshowadvice": true, "feedbackmessages": []}, "contributors": [{"name": "L1Stats UofG", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5882/"}], "extensions": [], "custom_part_types": [], "resources": [["question-resources/Screenshot_2020-10-30_at_10.11.41.png", "/srv/numbas/media/question-resources/Screenshot_2020-10-30_at_10.11.41.png"], ["question-resources/Screenshot_2020-10-30_at_10.19.17.png", "/srv/numbas/media/question-resources/Screenshot_2020-10-30_at_10.19.17.png"], ["question-resources/Screenshot_2020-10-30_at_10.19.17_cWFZn3Q.png", "/srv/numbas/media/question-resources/Screenshot_2020-10-30_at_10.19.17_cWFZn3Q.png"], ["question-resources/Screenshot_2020-10-30_at_10.28.50_5e6jfXf.png", "/srv/numbas/media/question-resources/Screenshot_2020-10-30_at_10.28.50_5e6jfXf.png"], ["question-resources/Screenshot_2020-10-30_at_10.46.01.png", "/srv/numbas/media/question-resources/Screenshot_2020-10-30_at_10.46.01.png"], ["question-resources/Screenshot_2020-10-30_at_10.48.51.png", "/srv/numbas/media/question-resources/Screenshot_2020-10-30_at_10.48.51.png"]]}