Mathematics > QUESTIONS and ANSWERS > Statistic Final ALL SOLUTION 100% CORRECT SPRING FALL-2022 LATEST GUARANTEED GRADE A+ (All)
1/1POINTS Afitnesscenterclaimsthathemeanamountoftimethatapersonspendsathegym pervisitis33 minutes.Identifythenulhypothesis,H0,andthealternative hypothesis,Ha,intermsoftheparameterμ. H0:μ≠33;Ha... :μ=33 H0:μ=33;Ha:μ≠33 H0:μ≥33;Ha:μ<33 H0:μ≤33;Ha:μ>33 AnswerExplanation Corectanswer: H0:μ=33;Ha:μ≠33 Letheparameterμ beusedtorepresenthemean.Thenulhypothesisisalways statedwithsomeform ofequality:equal(=),greaterthanorequalto(≥),orlessthan orequalto(≤).Therefore,inthiscase,thenulhypothesisH0 isμ=33.The alternativehypothesisiscontradictorytothenulhypothesis,soHa isμ≠33. QUESTION2 1/1POINTS Theanswerchoicesbelowrepresentdifferenthypothesistests.Whichofthechoices arerighttailedtests?Selectalcorrectanswers. • H0:X≥17.1,Ha:X<17.1 Thatiscorect!H0:X≤3.8,Ha:X>3.8 H0:X≤7.4,Ha:X>7.4 • • H0:X=14.4,Ha:X≠14.4 • • H0:X≤3.8,Ha:X>3.8 • • H0:X≤7.4,Ha:X>7.4 • • H0:X=3.3,Ha:X≠3.3 • AnswerExplanation Corectanswer: Remembertheformsofthehypothesistests. Right-tailed:H0:X≤X0,Ha:X>X0. Left-tailed:H0:X≥X0,Ha:X<X0. Two-tailed:H0:X=X0,Ha:X≠X0.Thebuildinginspectorthinksthatnomorethan15% ofthestructuresinthecounty werebuiltwithoutpermitswhen,infact,morethan15% ofthestructureswerebuilt withoutpermits. Sointhiscase,theright-tailedtestsare: H0:X≤7.4,Ha:X>7.4 H0:X≤3.8,Ha:X>3.8 QUESTION3 0/1POINTS FindtheType Ierrorgiventhathenulhypothesis,H0,is:abuildinginspectorclaims thatnomorethan15% ofstructuresinthecountywerebuiltwithoutpermits. Thebuildinginspectorthinksthatnomorethan15% ofthestructuresinthecounty werebuiltwithoutpermitswhen,infact,nomorethan15% ofthestructuresrealywere builtwithoutpermits. Thebuildinginspectorthinksthatmorethan15% ofthestructuresinthecountywere builtwithoutpermitswhen,infact,morethan15% ofthestructuresrealywerebuilt withoutpermits. Thebuildinginspectorthinksthatmorethan15% ofthestructuresinthecountywere builtwithoutpermitswhen,infact,atmost15% ofthestructureswerebuiltwithout permits. Thebuildinginspectorthinksthatnomorethan15% ofthestructuresinthecounty werebuiltwithoutpermitswhen,infact,morethan15% ofthestructureswerebuilt withoutpermits. AnswerExplanation Corectanswer: AType Ierroristhedecisionnotorejecthenulhypothesiswhen,infact,itisfalse.In thiscase,theType Ierroriswhenthebuildinginspectorthinksthatnomore That'snotright.• $\text{Test statistic = }-2.24$Test statistic = −2.24 Thebuildinginspectorthinksthatmorethan15%ofthestructuresinthecountywere builtwithoutpermitswhen,infact,atmost15%ofthestructureswerebuiltwithout permits. Thatiscorect! $$Test statistic = −2.24 than15% ofthestructureswerebuiltwithoutpermitswhen,infact,more than15% ofthestructureswerebuiltwithoutpermits. Youranswer: Content attribution- Opens a dialog QUESTION4 1/1POINTS Sup oseachefclaimsthathermeatbalweightislessthan4 ounces,onaverage. Severalofhercustomersdonotbelieveher,sothechefdecidestodoahypothesistest, ata10% significancelevel,topersuadethem.Sheco ks14 meatbals.Themean weightofthesamplemeatbalsis3.7 ounces.Thechefknowsfrom experiencethathe standarddeviationforhermeatbalweightis0.5 ounces. H0:μ≥4;Ha:μ<4 α=0.1 (significancelevel) Whatistheteststatistic(z-score)ofthisone-meanhypothesistest,roundedtotwo decimalplaces? AnswerExplanation Corectanswers: [Show More]
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