Question

**ASAP**

Test the claim that the mean GPA of night students is significantly different than 2.8 at the 0.1 significance level.

The null and alternative hypothesis would be:

H0:p=0.7H0:p=0.7
H1:p<0.7H1:p<0.7

H0:p=0.7H0:p=0.7
H1:p>0.7H1:p>0.7

H0:μ=2.8H0:μ=2.8
H1:μ>2.8H1:μ>2.8

H0:μ=2.8H0:μ=2.8
H1:μ<2.8H1:μ<2.8

H0:p=0.7H0:p=0.7
H1:p≠0.7H1:p≠0.7

H0:μ=2.8H0:μ=2.8
H1:μ≠2.8H1:μ≠2.8

The test is:

left-tailed

two-tailed

right-tailed

Based on a sample of 35 people, the sample mean GPA was 2.85 with a standard deviation of 0.04

The p-value is:  (to 2 decimals)

Based on this we:

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

Answer 1

Solution :

Given that,

Population mean = = 2.8

Sample mean = = 2.85

Sample standard deviation = s = 0.04

Sample size = n = 35

Level of significance = = 0.1

The null and alternative hypothesis is,

Ho: 2.8

Ha: 2.8

This is a two tailed test.

The test statistics,

t =( - )/ (s /n)

= ( 2.85 - 2.8 ) / ( 0.04 / 35 )

= 7.395

P-value = 0.00

The p-value is p = 0.00 < 0.1, it is concluded that the null hypothesis is rejected.

Based on this we reject the null hypothesis.