Question

# Test the claim that the mean GPA of night students is significantly different than the mean...

Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.1 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:

left-tailed

two-tailed

right-tailed

The sample consisted of 65 night students, with a sample mean GPA of 2.66 and a standard deviation of 0.06, and 40 day students, with a sample mean GPA of 2.64 and a standard deviation of 0.03.

The test statistic is:  2.27 (to 2 decimals)

The positive critical value is:  (to 2 decimals)

Based on this we:

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

PLEASE EXPLAIN HOW TO CALCULATE P VALUE

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