Question

# Test the claim that the mean GPA of night students is significantly different than 3.2 at...

Test the claim that the mean GPA of night students is significantly different than 3.2 at the 0.01 significance level.

The null and alternative hypothesis would be:

A) H0:μ=3.2H0:μ=3.2
H1:μ≠3.2H1:μ≠3.2

B) H0:μ=3.2H0:μ=3.2
H1:μ<3.2H1:μ<3.2

C) H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8

D) H0:μ=3.2H0:μ=3.2
H1:μ>3.2H1:μ>3.2

E) H0:p=0.8H0:p=0.8
H1:p>0.8H1:p>0.8

F) H0:p=0.8H0:p=0.8
H1:p<0.8H1:p<0.8

The test is:

A) right-tailed

B) two-tailed

C) left-tailed

Based on a sample of 25 people, the sample mean GPA was 3.15 with a standard deviation of 0.03

The test statistic is:___ (to 2 decimals)

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

Based on this we:

A) Fail to reject the null hypothesis

B) Reject the null hypothesis

#### Homework Answers

Answer #1

Solution :

Given that ,

= 3.2

= 3.15

= 0.03

n = 25

The null and alternative hypothesis is ,

H0 :   = 3.2

H1 :    3.2

This is the two tailed test .

Test statistic = z

= ( - ) / / n

= ( 3.15 - 3.2) / 0.03 / 25

= -8.33

The test statistic IS : -8.33

= 0.01

Z = Z0.01 = +/-2.58

The positive critical value is : 2.58

-8.33 < 2.58

Test statistic < Critical value

B) Reject the null hypothesis .

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