Assume theweights ofmen are normallydistributedwith a mean of170lbsand astandarddeviationof 30lbs. Show allwork.Just theanswer,withoutsupportingwork,will
... [Show More] receivenocredit.
Find the75thpercentileforthe distributionofmen’s weights.
Whatistheprobabilitythata randomlyselectedmanweighsmore than200 lbs
Assume theSATMathematicsLevel2 testscoresarenormallydistributedwith amean of500and a standarddeviationof100. Show allwork.Justtheanswer,withoutsupportingwork,willreceiveno credit.
If a randomsample of64testscoresisselected,whatisthe standarddeviation ofthesamplemean?
Whatistheprobabilitythat 64 randomlyselected testscoreswillhave a meantestscorethatisbetween 475and525?
A surveyshowed that80%of the1600adult respondentsbelieve in globalwarming.Constructa90% confidenceintervalestimate oftheproportionofadultsbelievingin globalwarming.Showallwork.Just theanswer,withoutsupportingwork,willreceive nocredit.
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.
Mimiisinterested in testingthe claimthat bananaisthefavoritefruitformorethan50% oftheadults.Sheconducteda survey on a randomsample of100 adults. 58 adultsinthesamplechosebanana ashis /herfavoritefruit.
AssumeMimiwantsto usea 0.10 significanceleveltotesttheclaim.
Identifythe nullhypothesisand thealternativehypothesis.
Determinetheteststatistic.Show allwork;writingthecorrectteststatistic,withoutsupportingwork,willreceive nocredit.
DeterminetheP-value forthistest.Show allwork;writingthe correctP-value,withoutsupportingwork,willreceive no credit.
Is there sufficientevidencetosupporttheclaimthatbananais thefavoritefruitformore than50% oftheadults?Explain.
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.
Identifythe nullhypothesisand thealternativehypothesis.
Determinetheteststatistic.Show allwork;writingthecorrectteststatistic,withoutsupportingwork,willreceive nocredit.
Determinethe P-value forthistest.Showallwork;writingthecorrectP-value,withoutsupportingwork,willreceive no credit.
Is there sufficientevidenceto supporttheclaimthatthemeanweightofthe freshmen in Aprilis greaterthanthemeanweightin September?Justifyyourconclusion.
In a pulserateresearch,asimple randomsample of40menresultsin a mean of80beatsperminute, anda standarddeviation of11.3 beatsperminute.Basedonthesampleresults,theresearcher concludesthatthepulseratesofmenhave a standarddeviationgreaterthan 10 beatsperminutes. Usea 0.05significancelevelto testtheresearcher’sclaim.
Identifythe nullhypothesisand alternativehypothesis.
Determinetheteststatistic.Show allwork;writingthecorrecttest statistic,withoutsupportingwork,willreceive no credit.
DeterminetheP-value forthistest.Show allwork;writingthe correctP-value,withoutsupportingwork,willreceive no credit.
Is there sufficientevidencetosupporttheresearcher’sclaim?Explain.
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
Identifythe nullhypothesisand thealternativehypothesis.
Determinetheteststatistic.Show allwork;writingthecorrectteststatistic,withoutsupportingwork,willreceive no credit.
DeterminetheP-value.Show allwork;writingthecorrectP-value,withoutsupportingwork,willreceive nocredit.
Is there sufficientevidenceto supporttheclaimthatthepublishedcolordistribution iscorrect?Justifyyouranswer.
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
Find anequationoftheleastsquaresregressionline.Show allwork;writingthecorrectequation,withoutsupportingwork,willreceive nocredit.
Based ontheequationfrompart(a),whatisthepredictedfinalexamscoreiftheaverage quizscoreis90?Show allworkand justifyyouranswer. [Show Less]