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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
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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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