Exam: 250713RR - Sampling Distributions and Estimation; Hypothesis Testing

This solved exam covers sampling distributions, estimation methods, and hypothesis testing.

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StudentID:22039100Exam:250713RR-SamplingDistributionsandEstimation;HypothesisTestingWhenyouhavecompletedyourexamandreviewedyouranswers,clickSubmitExam.AnswerswillnotberecordeduntilyouhitSubmitExam.Ifyouneedtoexitbeforecompletingtheexam,clickCancelExam.Questions1to20:Selectthebestanswertoeachquestion.Notethataquestionanditsanswersmaybesplitacrossapagebreak,sobesurethatyouhaveseentheentirequestionandalltheanswersbeforechoosingananswer.1.What is the rejection region for atwo-tailed test whenα= 0.05?A.z> 2.575B.|z| > 1.96C.|z| > 1.645D.|z| >2.5752.A human resources manager wants to determine a confidence interval estimate for the mean test scorefor the next office-skills test to be given to a group of job applicants. In the past, the test scores have beennormally distributed with a mean of 74.2 and a standard deviation of 30.9. Determine a 95% confidenceinterval estimate if there are 30 applicants in thegroup.A.63.14 to85.26B.64.92 to83.48C.13.64 to134.76D.68.72 to79.683.Which of the following statements about hypothesis testing isfalse?A.Thetestwillneverconfirmthenullhypothesis,onlyfailtorejectthenullhypothesis.B.Inboththeone-tailedandtwo-tailedtests,therejectionregionisonecontiguousintervalonthenumberline.C.ATypeIerroristhechancethattheresearcherrejectsthenullhypothesiswheninfactthenullhypothesisistrue.D.Therejectionregionisalwaysgiveninunitsofstandarddeviationsfromthemean.4.If the level of significance(α)is 0.005 in a two-tail test, how large is the nonrejection region under thecurve of thetdistribution?A.0.9975B.0.995C.0.050D.0.0055.Amortgagebrokerisofferinghomemortgagesatarateof9.5%,butthebrokerisfearfulthatthisvalueishigherthanmanyothersarecharging.Asampleof40mortgagesfiledinthecountycourthouseshowsanaverageof9.25%withastandarddeviationof8.61%.Doesthissampleindicateasmalleraverage?Useα=0.05andassumeanormallydistributedpopulation.A.No,becausetheteststatisticfallsintheacceptanceregion.

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