Question

In: Statistics and Probability

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 0.2 significance level.

The null and alternative hypothesis would be:

H0:μN=μD
H1:μN≠μD

H0:pN=pD
H1:pN≠pD

H0:μN≤μD
H1:μN>μD

H0:pN≤pD
H1:pN>pD

H0:μN≥μD
H1:μN<μD

H0:pN≥pD
H1:pN<pD



The test is:

two-tailed

right-tailed

left-tailed



The sample consisted of 70 night students, with a sample mean GPA of 3.41 and a standard deviation of 0.03, and 70 day students, with a sample mean GPA of 3.36 and a standard deviation of 0.06.

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

Solutions

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