Three students, an athlete, a fraternity member, and an honors student, record the number of hours they slept each night for 20 nights.O JMP Appletimp?Oneway Analysis of Sleep Hours By StudentOneway Analysis of Sleep Hours By Student10Oneway Anova14Summary of Fit12Rsquare0.02450610-Adj RsquareRoot Mean Square ErrorMean of ResponseObservations (or Sum Wgts)-0.000721.995177.760Analysis of VarianceSum ofMeanFProb SourceDFSquaresSquareRatioF2AthieteFratHonorsStudent25.700002.85000 0.7180 0.4931StudentError57226.900003.98070C. Total59232.60000Oneway AnovaMeans for Oneway AnovaStd LowerUpper95%Summary of FitLevelNumberMeanError95%Athlete20 8.10000 0.44813 7.2086 8.9934Rsquare0.024506Frat20 7.65000 0.44813 6.7588 8.5434Adj RsquareRoot Mean Square ErrorMean of ResponseObservations (or Sum Wgts)-0.00972Honors20 7.35000 0.44813 6.4586 8.24341.99517Std Error uses a pooled estimate of error variance7.760Analysis of VarianceSourceDF Sum of Squares Mean Square FRatio Prob FStudent20.71605.70000226.900002.850000.4831Error573.98070C. Total50232.60000Means for Oneway AnovaLevelNumberMean Std Error Lower 99% Upper 99%Athlete20 8.100000.446136.91119.2889Frat20 7.650000.448136.46118.8389Honors20 7.350000.448136.16118.5389Std Error uses a pooled estimate of error varianceClick here to access the JMP applet in a new window.Sleep HoursII The University is interested in seeing if the different types of students have statistically different sleeping averages. What is the hypothesis test to be done?O Hoi Hg = Hz = MzH1 means are not all equal%3DO Hoi 41 H2 MzH: Hy = H2 = H3O Ho: Hq HzHo: means are not all equalH: Hy = H2 = H3O (b)The test is done with a 95% confidence level. Find the test statistic, and p-value. (Round your test statistic and p-value to four decimal places).test statisticp-valueB (c)If the sleeping patterns of the students are different, the University wants to implement a program on healthy sleeping habits. What is the conclusion to thehypothesis test?The null hypothesis should --Select---confidence level. The University --Select--- V implement a program on healthy sleeping habits.The mean number of hours of sleep --Select--v statistically different for the three types of students at the 95%

Name: Three students, an athlete, a fraternity member, and an honors studen
Uploaded: 2024-03-20T07:07:00.000Z
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Description: Three students, an athlete, a fraternity member, and an honors student, record the number of hours they slept each night for 20 nights.O JMP Appletimp?Oneway Analysis of Sleep Hours By StudentOneway Analysis of Sleep Hours By Student10Oneway Anova14

Question

Three students, an athlete, a fraternity member, and an honors student, record the number of hours they slept each night for 20 nights.O JMP Appletimp?Oneway Analysis of Sleep Hours By StudentOneway Analysis of Sleep Hours By Student10Oneway Anova14Summary of Fit12Rsquare0.02450610-Adj RsquareRoot Mean Square ErrorMean of ResponseObservations (or Sum Wgts)-0.000721.995177.760Analysis of VarianceSum ofMeanFProb >SourceDFSquaresSquareRatioF2AthieteFratHonorsStudent25.700002.85000 0.7180 0.4931StudentError57226.900003.98070C. Total59232.60000Oneway AnovaMeans for Oneway AnovaStd LowerUpper95%Summary of FitLevelNumberMeanError95%Athlete20 8.10000 0.44813 7.2086 8.9934Rsquare0.024506Frat20 7.65000 0.44813 6.7588 8.5434Adj RsquareRoot Mean Square ErrorMean of ResponseObservations (or Sum Wgts)-0.00972Honors20 7.35000 0.44813 6.4586 8.24341.99517Std Error uses a pooled estimate of error variance7.760Analysis of VarianceSourceDF Sum of Squares Mean Square FRatio Prob >FStudent20.71605.70000226.900002.850000.4831Error573.98070C. Total50232.60000Means for Oneway AnovaLevelNumberMean Std Error Lower 99% Upper 99%Athlete20 8.100000.446136.91119.2889Frat20 7.650000.448136.46118.8389Honors20 7.350000.448136.16118.5389Std Error uses a pooled estimate of error varianceClick here to access the JMP applet in a new window.Sleep HoursII The University is interested in seeing if the different types of students have statistically different sleeping averages. What is the hypothesis test to be done?O Hoi Hg = Hz = MzH1 means are not all equal%3DO Hoi 41> H2> MzH: Hy = H2 = H3O Ho: Hq> HzHo: means are not all equalH: Hy = H2 = H3O (b)The test is done with a 95% confidence level. Find the test statistic, and p-value. (Round your test statistic and p-value to four decimal places).test statisticp-valueB (c)If the sleeping patterns of the students are different, the University wants to implement a program on healthy sleeping habits. What is the conclusion to thehypothesis test?The null hypothesis should --Select---confidence level. The University --Select--- V implement a program on healthy sleeping habits.The mean number of hours of sleep --Select--v statistically different for the three types of students at the 95%

Accepted Answer

a)
Consider that µ1, µ2 and µ3 are the sleeping averages of three different students.