Question

You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 25 night students, and the sample mean GPA is 2.23 with a standard deviation of 0.93. You sample 60 day students, and the sample mean GPA is 2.05 with a standard deviation of 0.54. Test the claim using a 10% level of significance. Assume the population standard deviations are unequal and that GPAs are normally distributed.

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

H₁: Select an answer x-bar2 μ σ² μ1 μ2 s² x-bar1 p ? > = ≠ ≥ < ≤ Select an answer s² μ2 x-bar1 x-bar2 μ σ² p μ1

(Select the correct symbols, for one tailed tests use ≤ or ≥ not an = sign, do not include units.)
(Give answer to at least 4 decimal places)
Test Statistic=

Lower Critical Value=

(Give answer to at least 4 decimal places)

Upper Critical Value=  

Based on the above we choose to Select an answer Fail to reject the null hypothesis Reject the null hypothesis

The correct summary would be:

Select an answer- There is enough evidence to reject the claim There is enough evidence to support the claim There is not enough evidence to reject the claim There is not enough evidence to support the claim  that the mean GPA of night students is different from the mean GPA of day students.

Answer 1