Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.01 significance level. The null and alternative hypothesis would be:   H0:μN=μDH0:μN=μD H1:μN≠μDH1:μN≠μD H0:pN≥pDH0:pN≥pD H1:pNμDH1:μN>μD H0:pN=pDH0:pN=pD H1:pN≠pDH1:pN≠pD H0:μN≥μDH0:μN≥μD H1:μN<μDH1:μN<μD H0:pN≤pDH0:pN≤pD H1:pN>pDH1:pN>pD The test is:   left-tailed two-tailed right-tailed

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.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.01 significance level.

The null and alternative hypothesis would be:

 

H0:μN=μDH0:μN=μD
H1:μN≠μDH1:μN≠μD
H0:pN≥pDH0:pN≥pD
H1:pN<pDH1:pN<pD
H0:μN≤μDH0:μN≤μD
H1:μN>μDH1:μN>μD
H0:pN=pDH0:pN=pD
H1:pN≠pDH1:pN≠pD
H0:μN≥μDH0:μN≥μD
H1:μN<μDH1:μN<μD
H0:pN≤pDH0:pN≤pD
H1:pN>pDH1:pN>pD



The test is:

 

left-tailed
two-tailed
right-tailed



The sample consisted of 35 night students, with a sample mean GPA of 2.23 and a standard deviation of 0.05, and 35 day students, with a sample mean GPA of 2.24 and a standard deviation of 0.07.

 

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