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Assume theweights ofmen are normally distributedwith a mean of170lbsand astandard deviationo
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1. Assume theweights ofmen are normallydistributedwith a mean of170lbsand astandarddeviationof 30lbs. Show allwork.Just theanswer,withoutsupportingwork,will receivenocredit.

1. Find the75thpercentileforthe distributionofmens weights.
2. Whatistheprobabilitythata randomlyselectedmanweighsmore than200 lbs

1. If a randomsample of64testscoresisselected,whatisthe standarddeviation ofthesamplemean?
2. Whatistheprobabilitythat 64 randomlyselected testscoreswillhave a meantestscorethatisbetween 475and525?

1. In a studydesigned totest theeffectivenessofgarlicforloweringcholesterol, 49 adultsweretreatedwithgarlictablets.Cholesterollevelsweremeasuredbefore andafterthetreatment.ThechangesintheirLDL cholesterol (inmg/dL)have a mean of3andstandarddeviation of 14.Constructa 95%confidenceintervalestimateofthemeanchange in LDLcholesterolafterthegarlictablettreatment.Show allwork.Just theanswer,withoutsupportingwork,willreceiveno credit.

1. Mimiisinterested in testingthe claimthat bananaisthefavoritefruitformorethan50% oftheadults.Sheconducteda survey on a randomsample of100 adults. 58 adultsinthesamplechosebanana ashis /herfavoritefruit.

AssumeMimiwantsto usea 0.10 significanceleveltotesttheclaim.

1. Identifythe nullhypothesisand thealternativehypothesis.
3. DeterminetheP-value forthistest.Show allwork;writingthe correctP-value,withoutsupportingwork,willreceive no credit.
4. Is there sufficientevidencetosupporttheclaimthatbananais thefavoritefruitformore than50% oftheadults?Explain.
5. In a studyoffreshmanweightgain, the measuredweights of5randomlyselectedcollegestudents in SeptemberandApriloftheirfreshmanyearareshowninthefollowingtable.

 Weight(kg) Student September April 1 67 66 2 53 55 3 64 68 4 71 70 5 70 75

Is there evidenceto suggestthatthemeanweightofthefreshmen in Aprilis greaterthanthemeanweightin September?

Assume we wanttousea 0.10significancelevel totestthe claim.

1. Identifythe nullhypothesisand thealternativehypothesis.
3. Determinethe P-value forthistest.Showallwork;writingthecorrectP-value,withoutsupportingwork,willreceive no credit.
4. Is there sufficientevidenceto supporttheclaimthatthemeanweightofthe freshmen in Aprilis greaterthanthemeanweightin September?Justifyyourconclusion.

1. In a pulserateresearch,asimple randomsample of40menresultsin a mean of80beatsperminute, anda standarddeviation of11.3 beatsperminute.Basedonthesampleresults,theresearcher concludesthatthepulseratesofmenhave a standarddeviationgreaterthan 10 beatsperminutes. Usea 0.05significancelevelto testtheresearchersclaim.
2. Identifythe nullhypothesisand alternativehypothesis.
3. Determinetheteststatistic.Show allwork;writingthecorrecttest statistic,withoutsupportingwork,willreceive no credit.
4. DeterminetheP-value forthistest.Show allwork;writingthe correctP-value,withoutsupportingwork,willreceive no credit.
5. Is there sufficientevidencetosupporttheresearchersclaim?Explain.
6. TheUMUCDailyNewsreportedthatthecolordistributionforplainM&M’swas:40%brown,20%yellow,10%orange,10%green,and20%tan. Eachpieceofcandyin a randomsample of100plainM&M’s was classifiedaccordingto color, andtheresultsarelistedbelow.Use a 0.05significanceleveltotesttheclaimthatthepublishedcolordistributionis correct.Show allworkandjustifyyouranswer.

 Color Brown Yellow Orange Green Tan Number 42 21 12 7 18

1. Identifythe nullhypothesisand thealternativehypothesis.
4. Is there sufficientevidenceto supporttheclaimthatthepublishedcolordistribution iscorrect?Justifyyouranswer.
1. A STAT200instructorbelievesthattheaveragequizscoreisa goodpredictor offinalexamscore. A randomsample of 5 studentsproducedthefollowingdata where x istheaverage quizscore andy isthefinalexamscore.

 x 80 50 60 100 70 y 145 150 130 180 120

2. Based ontheequationfrompart(a),whatisthepredictedfinalexamscoreiftheaverage quizscoreis90?Show allworkand justifyyouranswer.

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• Assume theweights ofmen are normally distributedwith a mean of170lbsand astandard deviationo
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