Question

Test the claim that the mean GPA of night students is larger than 2.6 at the 0.10 significance level.

- The null and alternative hypothesis would be:

- The test is:

A. two-tailed

B. right-tailed

C. left-tailed

- Based on a sample of 25 people, the sample mean GPA was 2.62 with a standard deviation of 0.05

The p-value is:

- Based on this we:

• A. Fail to reject the null hypothesis
• B. Reject the null hypothesis

Answer 1

Solution :

Given that,

Population mean = = 2.6

Sample mean = = 2.62

Sample standard deviation = s = 0.05

Sample size = n = 25

Level of significance = = 0.10

The null and alternative hypothesis is,

B)

This a right (One) tailed test.

Ho: 2.6

Ha: 2.6

The test statistics,

t = ( - )/ (s/)

= ( 2.62 - 2.6 ) / ( 0.05 / 25)

= 2

p-value = 0.0285

The p-value is p = 0.0285 < 0.10, it is concluded that the null hypothesis is rejected.

B) Reject the null hypothesis.