// Numbas version: exam_results_page_options
{"name": "Identifying Parts of Equations: z", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["random", "sizes", "bigger", "smaller"], "name": "Identifying Parts of Equations: z", "tags": [], "advice": "", "rulesets": {}, "parts": [{"prompt": "<p>What is $\\bar{x}$?</p>", "matrix": [0, 0, "1", 0], "shuffleChoices": true, "marks": 0, "variableReplacements": [], "choices": ["<p>Sample variance</p>", "<p>Population mean</p>", "<p>Sample mean</p>", "<p>A data value</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": 0, "scripts": {}, "distractors": ["", "", "", ""], "displayColumns": 0, "showCorrectAnswer": true, "type": "1_n_2", "minMarks": 0}, {"prompt": "<p>What does $\\bar{x} - \\mu$ represent?</p>", "matrix": [0, "1", 0, 0], "shuffleChoices": true, "marks": 0, "variableReplacements": [], "choices": ["<p>The difference between an observation value and the sample mean.</p>", "<p>The difference between the sample mean and the population mean.</p>", "<p>The difference between the sample mean and the sample deviation.</p>", "<p>The difference between the sample mean and the population variance</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": 0, "scripts": {}, "distractors": ["", "", "", ""], "displayColumns": 0, "showCorrectAnswer": true, "type": "1_n_2", "minMarks": 0}, {"prompt": "<p>You are given two samples A and B, with the same values of $\\bar{x}$, $\\mu$ and $\\sigma$. For sample A, $z = 5$. If the value of $n$ is {bigger} for sample B than sample A, then the value of $z$ for sample B is</p>", "matrix": "if(random=0,[1,0,0],[0,1,0])", "shuffleChoices": false, "marks": 0, "variableReplacements": [], "choices": ["<p>more&nbsp;than&nbsp;$5$</p>", "<p>less&nbsp;than&nbsp;$5$</p>", "<p>$5$, the same as sample A.</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": 0, "scripts": {}, "distractors": ["", "", ""], "displayColumns": 0, "showCorrectAnswer": true, "type": "1_n_2", "minMarks": 0}], "statement": "<p>Given the formula</p>\n<p>$z = \\dfrac{(\\bar{x} -\\mu)}{\\sqrt{\\dfrac{\\sigma^2}{n}}}$,</p>\n<p>answer the following questions.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"random": {"definition": "random(0,1)", "templateType": "anything", "group": "Ungrouped variables", "name": "random", "description": ""}, "smaller": {"definition": "sizes[1-random]", "templateType": "anything", "group": "Ungrouped variables", "name": "smaller", "description": ""}, "bigger": {"definition": "sizes[random]", "templateType": "anything", "group": "Ungrouped variables", "name": "bigger", "description": ""}, "sizes": {"definition": "[ \"bigger\", \"smaller\" ]", "templateType": "list of strings", "group": "Ungrouped variables", "name": "sizes", "description": ""}}, "metadata": {"notes": "", "description": "<p>Identify parts of the equation for a $z$-score.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Hayley Moore", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/495/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Hayley Moore", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/495/"}]}