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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. Assume theSATMathematicsLevel2 testscoresarenormallydistributedwith amean of500and a standarddeviationof100. Show allwork.Justtheanswer,withoutsupportingwork,willreceiveno credit.
  1. If a randomsample of64testscoresisselected,whatisthe standarddeviation ofthesamplemean?
  2. Whatistheprobabilitythat 64 randomlyselected testscoreswillhave a meantestscorethatisbetween 475and525?

 

  1. A surveyshowed that80%of the1600adult respondentsbelieve in globalwarming.Constructa90% confidenceintervalestimate oftheproportionofadultsbelievingin globalwarming.Showallwork.Just theanswer,withoutsupportingwork,willreceive nocredit.

 

  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.
  2. Determinetheteststatistic.Show allwork;writingthecorrectteststatistic,withoutsupportingwork,willreceive nocredit.
  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.
  2. Determinetheteststatistic.Show allwork;writingthecorrectteststatistic,withoutsupportingwork,willreceive nocredit.
  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.
  2. Determinetheteststatistic.Show allwork;writingthecorrectteststatistic,withoutsupportingwork,willreceive no credit.
  3. DeterminetheP-value.Show allwork;writingthecorrectP-value,withoutsupportingwork,willreceive nocredit.
  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

 

  1. Find anequationoftheleastsquaresregressionline.Show allwork;writingthecorrectequation,withoutsupportingwork,willreceive nocredit.
  2. Based ontheequationfrompart(a),whatisthepredictedfinalexamscoreiftheaverage quizscoreis90?Show allworkand justifyyouranswer.

 

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