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:pN≤pDH0:pN≤pD H1:pN>pDH1:pN>pD H0:pN≥pDH0:pN≥pD H1:pN
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:pN≤pDH0:pN≤pD H1:pN>pDH1:pN>pD H0:pN≥pDH0:pN≥pD H1:pN
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
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
H1:μN>μDH1:μN>μD
H0:pN=pDH0:pN=pD
H1:pN≠pDH1:pN≠pD
H1:pN≠pDH1:pN≠pD
H0:pN≤pDH0:pN≤pD
H1:pN>pDH1:pN>pD
H1:pN>pDH1:pN>pD
H0:pN≥pDH0:pN≥pD
H1:pN<pDH1:pN<pD
H1:pN<pDH1:pN<pD
H0:μN=μDH0:μN=μD
H1:μN≠μDH1:μN≠μD
H1:μN≠μDH1:μN≠μD
H0:μN≥μDH0:μN≥μD
H1:μN<μDH1:μN<μD
H1:μN<μDH1:μN<μD
The test is:
left-tailed
two-tailed
right-tailed
The sample consisted of 40 night students, with a sample mean GPA of 2.47 and a standard deviation of 0.03, and 40 day students, with a sample mean GPA of 2.52 and a standard deviation of 0.07.
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
- Fail to reject the null hypothesis
- Reject the null hypothesis
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