Question

1. Test the claim that the mean GPA of night students is significantly different than 2.4 at the 0.2 significance level.
The null and alternative hypothesis would be:

a) H0:μ=2.4
H1:μ>2.4

b) H0:μ=2.4
H1:μ<2.4

c) H0:p=0.6
H1:p<0.6

d) H0:p=0.6
H1:p>0.6

e) H0:p=0.6
H1:p≠0.6

f) H0:μ=2.4
H1:μ≠2.4

2. The test is:

a) left-tailed

b) right-tailed

c) two-tailed

3. Based on a sample of 35 people, the sample mean GPA was 2.44 with a standard deviation of 0.04

The test statistic is: ________ (to 2 decimals)

The positive critical value is: ________ (to 2 decimals)

4. Based on this we:

a) Reject the null hypothesis

b) Fail to reject the null hypothesis

Answer 1

Given = 2.4

alpha 0.2

1.) Hypothesis:-

H0:μ=2.4
H1:μ≠2.4

2.) c) two-tailed

3) n = 35, s = 0.04 = 2.44

test statistic t = = = 5.92

critical value t0.1,34 = 1.31

4) Since t > t0.1,34 we Reject the null hypothesis.