You are testing the claim that the mean GPA of night students (Group 1) is less than the mean GPA of day students (Group

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You are testing the claim that the mean GPA of night students
(Group 1) is less than the mean GPA of day students (Group
2). You sample 20 night students, and the sample mean GPA is
2.82 with a standard deviation of 0.44. You sample 25 day
students, and the sample mean GPA is 3.46 with a standard deviation
of 0.98. Test the claim using a 10% level of significance.
Assume the population standard deviations are unequal and that GPAs
are normally distributed. Give answer to 4 decimal
places.
What are the correct hypotheses?

H0: Select an
answer p x̄₁ μ₁ μd σ² μ₂ s² x̄₂ ? = ≥ ≤ < > ≠ Select
an
answer x̄₂ σ² μ₁ μd μ₂ x̄₁ s² p

H1: Select an
answer s² μ₁ μd σ² x̄₁ x̄₂ μ₂ p ? = ≤ < ≥ ≠ > Select
an
answer x̄₁ μ₂ μ₁ σ² p s² x̄₂ μd
Based on the hypotheses, find the following:

T-Test Statistic =

p-value =

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

The correct summary would be: Select an answer There is
not enough evidence to reject the claim There is not enough
evidence to support 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 less than
the mean GPA of day students.