Question

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

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

This is the two tailed test .

The null and alternative hypothesis is

H0 :   = 3.3

Ha : 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 .

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