Question

You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 22 night students and 25 day students and their GPA's are recorded below. Test the claim using a 5% level of significance. Assume the population variances are unequal and that GPAs are normally distributed. Give answers to 4 decimal places.

GPA-Night	GPA-Day
2.99	3.34
3.44	3.13
3.1	3.41
3.33	2.86
3.69	2.8
3.35	3.56
2.93	3.58
3.89	3.49
2.73	3.37
3.35	3.32
3.68	2.77
3.46	2.95
3.3	3.61
3.42	3.8
3.68	2.41
3.53	2.87
3.18	2.75
3.25	2.99
2.9	2.91
3.54	2.81
3.03	3.32
3.05	3.2
	3.13
	2.4
	3.38

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: ______ s² σ² μ₁ μ₂ x̅₁ x̅₂ p [ > ≠ ≥ < = ≤ ] _______μ₂ s² p x̅₂ x̅₁ μ₁ σ² 0

H₁: ________ x̅₁ s² μ₁ x̅₂ μ₂ σ² p [≥ ≤ > = ≠ <] ________s² 0 μ₁ σ² x̅₂ p x̅₁ μ₂

Based on the hypotheses, find the following:

Test Statistic=

p-value=

The correct decision is to Select an answer reject the claim reject the null hypothesis fail to reject the null hypothesis accept the null hypothesis accept the alternative hypothesis  .

The correct summary would be: Select an answer There is not enough evidence to support the claim There is enough evidence to reject the claim There is not 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.

Answer 1