Test the claim that the mean GPA of Orange Coast students is larger than the mean GPA of Coastline students at the 0.05 significance level.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Test the claim that the mean GPA of Orange Coast students is larger than the mean GPA of
Coastline students at the 0.05 significance level.
The null and alternative hypothesis would be:
Ho:μο Σμα Ho:μο = με Ho:po = pc
H :μο > με Ηι:μο # με Hi:po + pc
The test is:
right-tailed two-tailed left-tailed o
The sample consisted of 25 Orange Coast students, with a sample mean GPA of 3.29 and a
standard deviation of 0.03, and 25 Coastline students, with a sample mean GPA of 3.27 and a
standard deviation of 0.02.
The test statistic is: -2.32
The p-value is: 0.01
Based on this we:
Fail to reject the null hypothesis
Reject the null hypothesis
Ho:po ≥ pc Ho:μο Σ με Ho:po < pc
Hi:po < pc Hy:μο < με Hi:po > pc
Check Answer
x (to 2 decimals)
o (to 2 decimals)
Transcribed Image Text:Test the claim that the mean GPA of Orange Coast students is larger than the mean GPA of Coastline students at the 0.05 significance level. The null and alternative hypothesis would be: Ho:μο Σμα Ho:μο = με Ho:po = pc H :μο > με Ηι:μο # με Hi:po + pc The test is: right-tailed two-tailed left-tailed o The sample consisted of 25 Orange Coast students, with a sample mean GPA of 3.29 and a standard deviation of 0.03, and 25 Coastline students, with a sample mean GPA of 3.27 and a standard deviation of 0.02. The test statistic is: -2.32 The p-value is: 0.01 Based on this we: Fail to reject the null hypothesis Reject the null hypothesis Ho:po ≥ pc Ho:μο Σ με Ho:po < pc Hi:po < pc Hy:μο < με Hi:po > pc Check Answer x (to 2 decimals) o (to 2 decimals)
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