{"id":"cb_question_bank:dcd66ca4-4464-497b-b1fa-ae76dfb4f92a","source_id":"cb_question_bank","source_item_id":"dcd66ca4-4464-497b-b1fa-ae76dfb4f92a","external_id":null,"ibn":"031666-DC","question_id":"6a305cd0","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.F.","skill":"Inference from sample statistics and margin of error","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"In a study, the data from a random sample of a population had a mean of 37, with an associated margin of error of 3. Which of the following is the most appropriate conclusion that can be made about the population mean?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">In a study, the data from a random sample of a population had a mean of 37, with an associated margin of error of 3. Which of the following is the most appropriate conclusion that can be made about the population mean?</p>\n","rationale_html":"<p>Choice C is correct. It’s given that the mean of the data from a random sample of a population is 37, with an associated margin of error of 3. The most appropriate conclusion that can be made is that the mean of the entire population will fall between 37, plus or minus 3. Therefore, the population mean is between <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d71cfbc9fc37fd36134a2bec40dd2102062940b954717e37237ed3cbfa4e818a\" alt=\"37 minus 3, which equals 34 \"></span> and <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4d89a735e7c30dd3b17ddd2b4c46aff584b2a67682e184ea4d3ba6493ebafbb1\" alt=\"37 plus 3, which equals 40\"></span>.</p><p>Choice A is incorrect. While it’s an appropriate conclusion that the population mean is as low as <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9d3afc1b06a4b1e46f14433994f67225f228c62ca82470fc934424e9d2584c98\" alt=\"37 minus 3\"></span>, or 34, it isn’t appropriate to conclude that the population mean is less than 34. Choice B is incorrect. While it’s an appropriate conclusion that the population mean is as high as <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7d70e22418a667993a606c0a3039dc0a7839ef9e4dd90c4e22d88d98cf7e5350\" alt=\"37 plus 3\"></span>, or 40, it isn’t appropriate to conclude that the population mean is greater than 40. Choice D is incorrect. It isn’t an appropriate conclusion that the population mean is less than 34 or greater than 40.</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.627000+00:00","source_updated_at":"2023-08-02T20:25:59.627000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">It is less than 37.</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">It is greater than 37.</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">It is between 34 and 40.</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">It is less than 34 or greater than 40.</p>\n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}