Question

A random sample of 15 night students was taken with a sample mean GPA of 3.32 and a standard deviation of 0.04. A random sample of 18 day students was taken with a sample mean GPA of 3.3 and a standard deviation of 0.02. Test the claim that the mean GPA of night students (μN) is different than the mean GPA of day students (μD) at α= 0.01. Assume that the data come from normal populations with unequal variances.

Round your answers to three decimal places.

(a). Which would be the correct null and alternative hypotheses?

A) H0:μN=μD
H1:μN>μD

B) H0:μN=μD
H1:μN≠μD

C) H0:μN=μD
H1:μN<μD

(b). Is this test right tailed, two tailed, or left tailed?

(c). Find the test statistic:

(d). Using your answer from part (c), find the p-value:

(e). Find the positive critical value:

(f). Would the correct decision be to accept, reject, or fail to reject the null hypothesis?

I'm so sorry that this is a longer question.

Answer 1

The statistical software output for this problem is:

Hence,

a) Option B is correct.

b) Two Tailed

c) Test statistic = 1.762

d) p - Value = 0.094

e) Positive critical value = 2.849

f) Fail to Reject the null hypothesis

answered by: anonymous