// Numbas version: exam_results_page_options
{"name": "Stratified sampling", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Stratified sampling", "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "<p>A science faculty in a university has a total of {pop} students. The table below shows the subjects studied by the students. No student studies moew than one subject.</p>\n<table width=\"596\" height=\"45\" border=\"1\" style=\"height: 45px;\">\n<tbody>\n<tr>\n<td style=\"width: 81.6667px;\">Biology</td>\n<td style=\"width: 81.6667px;\">Chemistry</td>\n<td style=\"width: 82.7778px;\">Physics</td>\n<td style=\"width: 83.8889px;\">Biochemistry</td>\n<td style=\"width: 83.8889px;\">Maths</td>\n<td style=\"width: 83.8889px;\">Statistics</td>\n</tr>\n<tr>\n<td style=\"width: 81.6667px;\">{biol}</td>\n<td style=\"width: 81.6667px;\">{chem}</td>\n<td style=\"width: 82.7778px;\">{phys}</td>\n<td style=\"width: 83.8889px;\">{biochem}</td>\n<td style=\"width: 83.8889px;\">{maths}</td>\n<td style=\"width: 83.8889px;\">{stats}</td>\n</tr>\n</tbody>\n</table>\n<p>The university wants to select a sample of {sample} students to take part in a survey.&nbsp;</p>", "advice": "", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"pop": {"name": "pop", "group": "Ungrouped variables", "definition": "random(2500..3000)", "description": "", "templateType": "anything", "can_override": false}, "biol": {"name": "biol", "group": "Ungrouped variables", "definition": "random(300..450)", "description": "", "templateType": "anything", "can_override": false}, "chem": {"name": "chem", "group": "Ungrouped variables", "definition": "random(300..450)", "description": "", "templateType": "anything", "can_override": false}, "phys": {"name": "phys", "group": "Ungrouped variables", "definition": "random(300..450)", "description": "", "templateType": "anything", "can_override": false}, "biochem": {"name": "biochem", "group": "Ungrouped variables", "definition": "random(300..450)\n", "description": "", "templateType": "anything", "can_override": false}, "maths": {"name": "maths", "group": "Ungrouped variables", "definition": "random(300..450)\n", "description": "", "templateType": "anything", "can_override": false}, "stats": {"name": "stats", "group": "Ungrouped variables", "definition": "pop-(biol+chem+phys+biochem+maths)\n", "description": "", "templateType": "anything", "can_override": false}, "sample": {"name": "sample", "group": "Ungrouped variables", "definition": "random(100..200)", "description": "", "templateType": "anything", "can_override": false}, "P1": {"name": "P1", "group": "Ungrouped variables", "definition": "(biol/pop)*100", "description": "", "templateType": "anything", "can_override": false}, "P2": {"name": "P2", "group": "Ungrouped variables", "definition": "(chem/pop)*100\n", "description": "", "templateType": "anything", "can_override": false}, "P3": {"name": "P3", "group": "Ungrouped variables", "definition": "(phys/pop)*100\n", "description": "", "templateType": "anything", "can_override": false}, "P4": {"name": "P4", "group": "Ungrouped variables", "definition": "(biochem/pop)*100\n", "description": "", "templateType": "anything", "can_override": false}, "P5": {"name": "P5", "group": "Ungrouped variables", "definition": "(maths/pop)*100\n", "description": "", "templateType": "anything", "can_override": false}, "P6": {"name": "P6", "group": "Ungrouped variables", "definition": "(stats/pop)*100", "description": "", "templateType": "anything", "can_override": false}, "N1": {"name": "N1", "group": "Ungrouped variables", "definition": "(P1/100)*sample", "description": "", "templateType": "anything", "can_override": false}, "N2": {"name": "N2", "group": "Ungrouped variables", "definition": "(P2/100)*sample", "description": "", "templateType": "anything", "can_override": false}, "N3": {"name": "N3", "group": "Ungrouped variables", "definition": "(P3/100)*sample", "description": "", "templateType": "anything", "can_override": false}, "N4": {"name": "N4", "group": "Ungrouped variables", "definition": "(P4/100)*sample", "description": "", "templateType": "anything", "can_override": false}, "N5": {"name": "N5", "group": "Ungrouped variables", "definition": "(P5/100)*sample", "description": "", "templateType": "anything", "can_override": false}, "N6": {"name": "N6", "group": "Ungrouped variables", "definition": "(P6/100)*sample", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["pop", "biol", "chem", "phys", "biochem", "maths", "stats", "sample", "P1", "P2", "P3", "P4", "P5", "P6", "N1", "N2", "N3", "N4", "N5", "N6"], "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>Complete the table below to show the percentage of students for each subject.</p>\n<p>Give your answer to 1 decimal place.</p>\n<table width=\"505\" height=\"46\" border=\"1\" style=\"height: 46px; float: left;\">\n<tbody>\n<tr>\n<td style=\"width: 67.2222px;\">Biology&nbsp; &nbsp;</td>\n<td style=\"width: 67.2222px;\">Chem</td>\n<td style=\"width: 67.2222px;\">Physics</td>\n<td style=\"width: 68.3333px;\">Biochem</td>\n<td style=\"width: 68.3333px;\">Maths</td>\n<td style=\"width: 68.3333px;\">Statistics</td>\n</tr>\n<tr>\n<td style=\"width: 67.2222px;\">[[0]]</td>\n<td style=\"width: 67.2222px;\">[[1]]</td>\n<td style=\"width: 67.2222px;\">[[2]]</td>\n<td style=\"width: 68.3333px;\">[[3]]</td>\n<td style=\"width: 68.3333px;\">[[4]]</td>\n<td style=\"width: 68.3333px;\">[[5]]</td>\n</tr>\n</tbody>\n</table>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "P1", "maxValue": "P1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": "75", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "P2", "maxValue": "P2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": "75", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "P3", "maxValue": "P3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": "75", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "P4", "maxValue": "P4", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": "75", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "P5", "maxValue": "P5", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": "75", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "P6", "maxValue": "P6", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": "75", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"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>Complete thet table to show the number of students needed for each subject in the sample. Remember to round your answers to the nearest whole number.</p>\n<table width=\"558\" height=\"32\" border=\"1\" style=\"height: 52px;\">\n<tbody>\n<tr>\n<td style=\"width: 75px;\">Biology</td>\n<td style=\"width: 75px;\">Chem</td>\n<td style=\"width: 77.2222px;\">Physics</td>\n<td style=\"width: 77.2222px;\">Biochem</td>\n<td style=\"width: 77.2222px;\">Maths</td>\n<td style=\"width: 78.3333px;\">Statistics</td>\n</tr>\n<tr>\n<td style=\"width: 75px;\">[[0]]</td>\n<td style=\"width: 75px;\">[[1]]</td>\n<td style=\"width: 77.2222px;\">[[2]]</td>\n<td style=\"width: 77.2222px;\">[[3]]</td>\n<td style=\"width: 77.2222px;\">[[4]]</td>\n<td style=\"width: 78.3333px;\">[[5]]</td>\n</tr>\n</tbody>\n</table>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [{"variable": "P1", 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"nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "N2", "maxValue": "N2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": 0, "precisionPartialCredit": "75", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [{"variable": "P3", "part": "p0g2", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "N3", "maxValue": "N3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": 0, "precisionPartialCredit": "75", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [{"variable": "P4", "part": "p0g3", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "N4", "maxValue": "N4", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": 0, "precisionPartialCredit": "75", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [{"variable": "P5", "part": "p0g4", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "N5", "maxValue": "N5", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": 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given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}]}]}], "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}]}