Question

Test the claim that the mean GPA of night students is significantly different than 3.3 at the 0.01 significance level.

The null and alternative hypothesis would be:

H0:μ=3.3H0:μ=3.3
H1:μ≠3.3H1:μ≠3.3

H0:p=0.825H0:p=0.825
H1:p≠0.825H1:p≠0.825

H0:μ=3.3H0:μ=3.3
H1:μ<3.3H1:μ<3.3

H0:μ=3.3H0:μ=3.3
H1:μ>3.3H1:μ>3.3

H0:p=0.825H0:p=0.825
H1:p>0.825H1:p>0.825

H0:p=0.825H0:p=0.825
H1:p<0.825H1:p<0.825

The test is:

left-tailed

right-tailed

two-tailed

Based on a sample of 70 people, the sample mean GPA was 3.32 with a standard deviation of 0.06

The test statistic is:  (to 2 decimals)

The positive critical value is:  (to 2 decimals)

Based on this we:

• Fail to reject the null hypothesis
• Reject the null hypothesis

Answer 1

This is the two tailed test .

The null and alternative hypothesis is

H₀ :   = 3.3

H_a : 3.3

Test statistic = z

= ( - ) / / n

= (3.32 - 3.3) / 0.06 / 70

Test statistic = 2.79

= 0.01

/ 2 = 0.01 / 2 = 0.005

Z_/2 = Z _0.005 = 2.576

Positive critical; value = +2.576

Test statistics  > Positive critical; value

Reject the null hypothesis .