5.46 Student performance across discussion sections: A professor who teaches a large introductory statistics class (197 students) with eight discussion sections would like to test if student performance differs by discussion section, where each discussion section has a different teaching assistant. The summary table below shows the average final exam score for each discussion section as well as the standard deviation of scores and the number of students in each section. Sec 1Sec 2Sec 3Sec 4Sec 5Sec 6Sec 7Sec 8ni3319102933103231x̄i92.9491.1191.892.4589.388.390.1293.45si4.215.583.435.929.327.276.934.57(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:( )Since p ≥ 0.05, we do not have enough evidence to claim a difference in average scores across the different sections( )Since p is close to 0.05, we cannot make a decision( )Since p ≥ 0.05, there is enough evidence to claim a difference in average scores across the different sections( )Since p ≥ 0.05, there is no difference in average scores across the different sections

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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5.46 Student performance across discussion sections: A professor who teaches a large introductory statistics class (197 students) with eight discussion sections would like to test if student performance differs by discussion section, where each discussion section has a different teaching assistant. The summary table below shows the average final exam score for each discussion section as well as the standard deviation of scores and the number of students in each section.

	Sec 1	Sec 2	Sec 3	Sec 4	Sec 5	Sec 6	Sec 7	Sec 8
n_i	33	19	10	29	33	10	32	31
x̄_i	92.94	91.11	91.8	92.45	89.3	88.3	90.12	93.45
s_i	4.21	5.58	3.43	5.92	9.32	7.27	6.93	4.57

(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:

( )Since p ≥ 0.05, we do not have enough evidence to claim a difference in average scores across the different sections
( )Since p is close to 0.05, we cannot make a decision
( )Since p ≥ 0.05, there is enough evidence to claim a difference in average scores across the different sections
( )Since p ≥ 0.05, there is no difference in average scores across the different sections

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ANOVA is a statistical test which can be used to compare the mean of more than 2 groups. It is a parametric test.

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