Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the 0.05 significance level. The null and alternative hypothesis would be:   H0:μN≥μDH0:μN≥μD H1:μN<μDH1:μN<μD H0:μN≤μDH0:μN≤μD H1:μN>μDH1:μN>μD H0:pN≥pDH0:pN≥pD H1:pNpDH1:pN>pD The test is:   two-tailed right-tailed left-tailed The sample consisted of 30 night students, with a sample mean GPA of 2.8 and a standard deviation of 0.06, and 30 day students, with a sample mean GPA of 2.78 and a standard deviation of 0.07. The test statistic is:  (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the 0.05 significance level.

The null and alternative hypothesis would be:

 

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



The test is:

 

two-tailed
right-tailed
left-tailed



The sample consisted of 30 night students, with a sample mean GPA of 2.8 and a standard deviation of 0.06, and 30 day students, with a sample mean GPA of 2.78 and a standard deviation of 0.07.

The test statistic is:  (to 2 decimals)

Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis 
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