2. 23 incoming freshman student-athletes at a certain university were divided into 3 independent groups, football, basketball and track athletes. Their composite ACT scores were recorded. We wish to assess whether their mean ACT scores were different based on the sport they played. a. State the hypotheses for this test, use a significance level of .05. b. From the data we have SSB (between) = 71 and SSW (within) = 155.61, find the F-test statistic and the p-value. c. Make a decision and conclude in terms of the problem.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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2. 23 incoming freshman student-athletes at a certain university were divided into 3
independent groups, football, basketball and track athletes. Their composite ACT scores
were recorded. We wish to assess whether their mean ACT scores were different based on
the sport they played.
a. State the hypotheses for this test, use a significance level of .05.
b. From the data we have SSB (between) = 71 and SSW (within) = 155.61, find the F-test
statistic and the p-value.
c. Make a decision and conclude in terms of the problem.
Transcribed Image Text:2. 23 incoming freshman student-athletes at a certain university were divided into 3 independent groups, football, basketball and track athletes. Their composite ACT scores were recorded. We wish to assess whether their mean ACT scores were different based on the sport they played. a. State the hypotheses for this test, use a significance level of .05. b. From the data we have SSB (between) = 71 and SSW (within) = 155.61, find the F-test statistic and the p-value. c. Make a decision and conclude in terms of the problem.
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