Question

Test the claim that the mean GPA of night students is larger than the mean GPA...

Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the .005 significance level.

The null and alternative hypothesis would be:

H0:pN=pDH0:pN=pD
H1:pN<pDH1:pN<pD

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≠pDH1:pN≠pD

H0:μN=μDH0:μN=μD
H1:μN<μDH1:μN<μD



The test is:

left-tailed

two-tailed

right-tailed



The sample consisted of 70 night students, with a sample mean GPA of 2.58 and a standard deviation of 0.04, and 30 day students, with a sample mean GPA of 2.53 and a standard deviation of 0.05.

The test statistic is:  (to 2 decimals)

The critical value is:  (to 2 decimals)

Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis
Math   Statistics-And-Probability   
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