You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 24 night students and 28 day students and their GPA's are recorded below. Test...

You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 24 night students and 28 day students and their GPA's are recorded below. Test the claim using a 1% level of significance. Assume the population variances are unequal and that GPAs are normally distributed. Give answers to 4 decimal places.

What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem.


H₀: Select an answer x̅₂ s² x̅₁ σ² μ₂ μ₁ p   ? = ≠ > < ≥ ≤  select an="">


H₁: Select an answer σ² x̅₂ x̅₁ μ₁ μ₂ s² p  ? = ≥ > ≠ ≤ <  select an="">


Based on the hypotheses, find the following:


Test Statistic=


p-value=


The correct decision is to

 Select an answer:

reject the null hypothesis

reject the claim accept the null hypothesis

accept the alternative hypothesis fail to reject the null hypothesis  .


The correct summary would be:

Select an answer:

There is not enough evidence to support the claim

 There is not enough evidence to reject the claim

There is enough evidence to reject the claim There is enough evidence to support the claim  that the mean GPA of night students is different from the mean GPA of day students.