Ald/Scho...Grad SchoolsA professor who teaches a large introductory statistics class (197 students) with eightdiscussion sections would like to test if student performance differs by discussionsection, where each discussion section has a different teaching assistant. Thesummary table below shows the average final exam score for each discussion sectionas well as the standard deviation of scores and the number of students in eachsection.Sec 1Sec 2 Sec 3Sec 4Sec 5Sec 6Sec 7Sec 8nj3319102933103231Xi 92.9491.1191.892.4589.388.390.1293.45Si4.215.583.435.929.327.276.934.57The ANOVA output below can be used to test for differences between the averageScores from the different discussion sections.DfSum Sq Mean Sq F value Pr(F)section7525.01751.870.0767residuals1897584.1140.13Conduct a hypothesis test to determine if these data provide convincing evidencethat the average score varies across some (or all) groups. Check conditions anddescribe any assumptions you must make to proceed with the test.(a) Write the hypotheses for evaluating if there is a difference between averageScores across sections in your own words.O Ho: H1 = = ... = H8Ha: At least one pair of means is the sameO Ho: µ1 = P2 = ... = P8Ha: At least one of the means is differentO Ho: H1 = P2 = ...= 48Ha: µ1 * P2 # ... ² µg(b) Assume that the conditions required for this inference are satisfied.(c) What is the test statistic associated with this ANOVA test?(please round to two decimal places)(d) What is the p-value associated with this ANOVA test?(please round to four decimal places)(e) Interpret the conclusion of the test in the context of the study:O Since p 2 0.05, there is enough evidence to claim a difference in average scoresacross the different sectionsO Since p 2 0.05, there is no difference in average scores across the differentsectionsO Since p is close to 0.05, we cannot make a decisionOSince p 005 we do not have onouab evidence to claim a difference in average

Name: Ald/Scho...Grad SchoolsA professor who teaches a large introductory s
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Ald/Scho...Grad SchoolsA professor who teaches a large introductory statistics class (197 students) with eightdiscussion sections would like to test if student performance differs by discussionsection, where each discussion section has a different t

Question

Ald/Scho...Grad SchoolsA professor who teaches a large introductory statistics class (197 students) with eightdiscussion sections would like to test if student performance differs by discussionsection, where each discussion section has a different teaching assistant. Thesummary table below shows the average final exam score for each discussion sectionas well as the standard deviation of scores and the number of students in eachsection.Sec 1Sec 2 Sec 3Sec 4Sec 5Sec 6Sec 7Sec 8nj3319102933103231Xi 92.9491.1191.892.4589.388.390.1293.45Si4.215.583.435.929.327.276.934.57The ANOVA output below can be used to test for differences between the averageScores from the different discussion sections.DfSum Sq Mean Sq F value Pr(>F)section7525.01751.870.0767residuals1897584.1140.13Conduct a hypothesis test to determine if these data provide convincing evidencethat the average score varies across some (or all) groups. Check conditions anddescribe any assumptions you must make to proceed with the test.(a) Write the hypotheses for evaluating if there is a difference between averageScores across sections in your own words.O Ho: H1 = = ... = H8Ha: At least one pair of means is the sameO Ho: µ1 = P2 = ... = P8Ha: At least one of the means is differentO Ho: H1 = P2 = ...= 48Ha: µ1 * P2 # ... ² µg(b) Assume that the conditions required for this inference are satisfied.(c) What is the test statistic associated with this ANOVA test?(please round to two decimal places)(d) What is the p-value associated with this ANOVA test?(please round to four decimal places)(e) Interpret the conclusion of the test in the context of the study:O Since p 2 0.05, there is enough evidence to claim a difference in average scoresacross the different sectionsO Since p 2 0.05, there is no difference in average scores across the differentsectionsO Since p is close to 0.05, we cannot make a decisionOSince p 005 we do not have onouab evidence to claim a difference in average

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