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The Sample Mean Estimates the Population Mean

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Question 32

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The sample mean estimates the population mean.

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})("positions", null)window.__remixContext = {"url":"/quiz/184500-quiz-5-sampling-distributions/questions/13653607-the-sample-mean-estimates-the-population-mean","state":{"loaderData":{"root":{"language":"en"},"routes/($lang)/quiz.$quizSlug/questions/$questionSlug":{"number_of_steps":1,"has_video":false,"answered_by":"QUIZPLUS","id":13653607,"difficulty":"NONE","type":"TRUE_FALSE","number":"32","text":"The sample mean estimates the population mean.","quiz":{"id":184500,"title":"Quiz 5: Sampling Distributions","slug":"184500-quiz-5-sampling-distributions","number":5,"questions_count":56,"accessibility":"PREMIUM","exam_ready":true,"demo_ready":true,"description":"Concepts of sampling distributions and their role in statistical inference."},"created_at":"2022-10-09 11:42:15","slug":"13653607-the-sample-mean-estimates-the-population-mean","title":"The Sample Mean Estimates the Population Mean","body":{"text":"The sample mean estimates the population 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inference."},"created_at":"2022-10-09 11:42:15","slug":"13653606-a-good-sample-will-perfectly-reflect-the-population"},{"number_of_steps":0,"has_video":false,"answered_by":"QUIZPLUS","id":13653605,"difficulty":"NONE","type":"TRUE_FALSE","number":"30","text":"Increasing sample size will guarantee a more representative sample of the population.","quiz":{"id":184500,"title":"Quiz 5: Sampling Distributions","slug":"184500-quiz-5-sampling-distributions","number":5,"questions_count":56,"accessibility":"PREMIUM","exam_ready":true,"demo_ready":true,"description":"Concepts of sampling distributions and their role in statistical inference."},"created_at":"2022-10-09 11:42:15","slug":"13653605-increasing-sample-size-will-guarantee-a-more-representative"},{"number_of_steps":0,"has_video":false,"answered_by":"QUIZPLUS","id":13653604,"difficulty":"NONE","type":"TRUE_FALSE","number":"29","text":"If you randomly select five subjects from a population, you are sampling.","quiz":{"id":184500,"title":"Quiz 5: Sampling Distributions","slug":"184500-quiz-5-sampling-distributions","number":5,"questions_count":56,"accessibility":"PREMIUM","exam_ready":true,"demo_ready":true,"description":"Concepts of sampling distributions and their role in statistical inference."},"created_at":"2022-10-09 11:42:15","slug":"13653604-if-you-randomly-select-five-subjects-from-a-population-you"},{"number_of_steps":0,"has_video":false,"answered_by":"QUIZPLUS","id":13653603,"difficulty":"NONE","type":"MULTIPLE_CHOICE","number":"28","text":"In a sampling distribution, what percentage of sample means should fall within \pm1 standard error of the population mean?\u003cbr\u003eA) 34%\u003cbr\u003eB) 68%\u003cbr\u003eC) 95%\u003cbr\u003eD) none of these","quiz":{"id":184500,"title":"Quiz 5: Sampling Distributions","slug":"184500-quiz-5-sampling-distributions","number":5,"questions_count":56,"accessibility":"PREMIUM","exam_ready":true,"demo_ready":true,"description":"Concepts of sampling distributions and their role in statistical inference."},"created_at":"2022-10-09 11:42:15","slug":"13653603-in-a-sampling-distribution-what-percentage-of-sample-means"},{"number_of_steps":0,"has_video":false,"answered_by":"QUIZPLUS","id":13653602,"difficulty":"NONE","type":"MULTIPLE_CHOICE","number":"27","text":"You know that the sampling distribution of all means for a given sample size will be approximately normally distributed because of the ______.\u003cbr\u003eA) assumptions of the uniform distribution\u003cbr\u003eB) central tendency\u003cbr\u003eC) central limit theorem\u003cbr\u003eD) population standard error of the mean","quiz":{"id":184500,"title":"Quiz 5: Sampling Distributions","slug":"184500-quiz-5-sampling-distributions","number":5,"questions_count":56,"accessibility":"PREMIUM","exam_ready":true,"demo_ready":true,"description":"Concepts of sampling distributions and their role in statistical inference."},"created_at":"2022-10-09 11:42:15","slug":"13653602-you-know-that-the-sampling-distribution-of-all-means-for-a-g"}],"next":[{"number_of_steps":0,"has_video":false,"answered_by":"QUIZPLUS","id":13653608,"difficulty":"NONE","type":"TRUE_FALSE","number":"33","text":"If possible, it is always preferable to measure a parameter instead of a statistic.","quiz":{"id":184500,"title":"Quiz 5: Sampling Distributions","slug":"184500-quiz-5-sampling-distributions","number":5,"questions_count":56,"accessibility":"PREMIUM","exam_ready":true,"demo_ready":true,"description":"Concepts of sampling distributions and their role in statistical inference."},"created_at":"2022-10-09 11:42:15","slug":"13653608-if-possible-it-is-always-preferable-to-measure-a-parameter"},{"number_of_steps":0,"has_video":false,"answered_by":"QUIZPLUS","id":13653609,"difficulty":"NONE","type":"TRUE_FALSE","number":"34","text":"You are more likely to draw an accurate conclusion when n = 20 than when n = 100.","quiz":{"id":184500,"title":"Quiz 5: Sampling Distributions","slug":"184500-quiz-5-sampling-distributions","number":5,"questions_count":56,"accessibility":"PREMIUM","exam_ready":true,"demo_ready":true,"description":"Concepts of sampling distributions and their role in statistical inference."},"created_at":"2022-10-09 11:42:15","slug":"13653609-you-are-more-likely-to-draw-an-accurate-conclusion-when-n-"},{"number_of_steps":0,"has_video":false,"answered_by":"QUIZPLUS","id":13653610,"difficulty":"NONE","type":"TRUE_FALSE","number":"35","text":"Sampling error exists with only some types of statistics.","quiz":{"id":184500,"title":"Quiz 5: Sampling Distributions","slug":"184500-quiz-5-sampling-distributions","number":5,"questions_count":56,"accessibility":"PREMIUM","exam_ready":true,"demo_ready":true,"description":"Concepts of sampling distributions and their role in statistical inference."},"created_at":"2022-10-09 11:42:15","slug":"13653610-sampling-error-exists-with-only-some-types-of-statistics"},{"number_of_steps":0,"has_video":false,"answered_by":"QUIZPLUS","id":13653611,"difficulty":"NONE","type":"TRUE_FALSE","number":"36","text":"\u003cspan class=\"ql-formula\" data-value=\"\\sigma_{x}^{-}\"\u003e\u003cspan class=\"katex\"\u003e\u003cspan class=\"katex-mathml\"\u003e\u003cmath xmlns=\"http://www.w3.org/1998/Math/MathML\"\u003e\u003csemantics\u003e\u003cmrow\u003e\u003cmsubsup\u003e\u003cmi\u003eσ\u003c/mi\u003e\u003cmi\u003ex\u003c/mi\u003e\u003cmo lspace=\"0em\" rspace=\"0em\"\u003e-\u003c/mo\u003e\u003c/msubsup\u003e\u003c/mrow\u003e\u003cannotation encoding=\"application/x-tex\"\u003e\\sigma_{x}^{-}\u003c/annotation\u003e\u003c/semantics\u003e\u003c/math\u003e\u003c/span\u003e\u003cspan class=\"katex-html\" aria-hidden=\"true\"\u003e\u003cspan class=\"base\"\u003e\u003cspan class=\"strut\" style=\"height:1.0183em;vertical-align:-0.247em;\"\u003e\u003c/span\u003e\u003cspan class=\"mord\"\u003e\u003cspan class=\"mord mathnormal\" style=\"margin-right:0.03588em;\"\u003eσ\u003c/span\u003e\u003cspan class=\"msupsub\"\u003e\u003cspan class=\"vlist-t vlist-t2\"\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\" style=\"height:0.7713em;\"\u003e\u003cspan style=\"top:-2.453em;margin-left:-0.0359em;margin-right:0.05em;\"\u003e\u003cspan class=\"pstrut\" style=\"height:2.7em;\"\u003e\u003c/span\u003e\u003cspan class=\"sizing reset-size6 size3 mtight\"\u003e\u003cspan class=\"mord mtight\"\u003e\u003cspan class=\"mord mathnormal mtight\"\u003ex\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"top:-3.063em;margin-right:0.05em;\"\u003e\u003cspan class=\"pstrut\" style=\"height:2.7em;\"\u003e\u003c/span\u003e\u003cspan class=\"sizing reset-size6 size3 mtight\"\u003e\u003cspan class=\"mord mtight\"\u003e\u003cspan class=\"mord mtight\"\u003e-\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"vlist-s\"\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"vlist-r\"\u003e\u003cspan class=\"vlist\" style=\"height:0.247em;\"\u003e\u003cspan\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e represents the population standard error of the mean. ","quiz":{"id":184500,"title":"Quiz 5: Sampling Distributions","slug":"184500-quiz-5-sampling-distributions","number":5,"questions_count":56,"accessibility":"PREMIUM","exam_ready":true,"demo_ready":true,"description":"Concepts of sampling distributions and their role in statistical inference."},"created_at":"2022-10-09 11:42:15","slug":"13653611-sigmax-represents-the-population-standard-error"},{"number_of_steps":0,"has_video":false,"answered_by":"QUIZPLUS","id":13653612,"difficulty":"NONE","type":"TRUE_FALSE","number":"37","text":" If \u003cspan class=\"ql-formula\" data-value=\"\\mu\"\u003e\u003cspan class=\"katex\"\u003e\u003cspan class=\"katex-mathml\"\u003e\u003cmath xmlns=\"http://www.w3.org/1998/Math/MathML\"\u003e\u003csemantics\u003e\u003cmrow\u003e\u003cmi\u003eμ\u003c/mi\u003e\u003c/mrow\u003e\u003cannotation encoding=\"application/x-tex\"\u003e\\mu\u003c/annotation\u003e\u003c/semantics\u003e\u003c/math\u003e\u003c/span\u003e\u003cspan class=\"katex-html\" aria-hidden=\"true\"\u003e\u003cspan class=\"base\"\u003e\u003cspan class=\"strut\" style=\"height:0.625em;vertical-align:-0.1944em;\"\u003e\u003c/span\u003e\u003cspan class=\"mord mathnormal\"\u003eμ\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e = 10, all sample means should also equal 10. ","quiz":{"id":184500,"title":"Quiz 5: Sampling Distributions","slug":"184500-quiz-5-sampling-distributions","number":5,"questions_count":56,"accessibility":"PREMIUM","exam_ready":true,"demo_ready":true,"description":"Concepts of sampling distributions and their role in statistical inference."},"created_at":"2022-10-09 11:42:15","slug":"13653612-if-mu-10-all-sample-means-should-also-equal-10"}]},"parents":{"topic":{"id":125,"title":"Business","slug":"125-business"},"subject":{"id":890,"title":"Business Statistics","slug":"890-business-statistics"},"study_set":{"id":9580,"title":"A Step by Step Introduction to Statistics for Business ","slug":"9580-a-step-by-step-introduction-to-statistics-for-business","content_id":"TBG1002","type":"TEST_BANK","questions_count":735,"origin":"QUIZPLUS"},"quiz":{"id":184500,"title":"Quiz 5: Sampling Distributions","slug":"184500-quiz-5-sampling-distributions","number":5,"questions_count":56,"accessibility":"PREMIUM","exam_ready":true,"demo_ready":true,"topic_title":"Business","study_set_title":"A Step by Step Introduction to Statistics for Business ","description":"Concepts of sampling distributions and their role in statistical inference."},"b_id":23223,"course_id":3124},"imagesPath":[],"feedback":{"question_id":13653607,"upvotes":38,"rate":4.831872337938054},"isMobile":false,"isFireFox":false,"metaTitle":"The Sample Mean Estimates the Population Mean","metaDescription":"The sample mean estimates the population mean.","answerSteps":"The sample mean is used as an estimate of the population mean because it is calculated from a subset of the population and serves as an unbiased estimator when the sample is random and representative. 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