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:pN≤pDH0:pN≤pD H1:pN>pDH1:pN>pD 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
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:pN≤pDH0:pN≤pD H1:pN>pDH1:pN>pD 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
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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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:
The test is:
The sample consisted of 30 night students, with a sample mean GPA of 3 and a standard deviation of 0.04, and 30 day students, with a sample mean GPA of 3.05 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:
The null and alternative hypothesis would be:
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
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:pN=pDH0:pN=pD
H1:pN≠pDH1:pN≠pD
H1:pN≠pDH1:pN≠pD
The test is:
left-tailed
two-tailed
right-tailed
The sample consisted of 30 night students, with a sample mean GPA of 3 and a standard deviation of 0.04, and 30 day students, with a sample mean GPA of 3.05 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:
- Reject the null hypothesis
- Fail to reject the null hypothesis
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