Question

Test the claim that the mean GPA of night students is larger than 2.6 at the 0.10 significance level.

The null and alternative hypothesis would be:

H0:μ≥2.6H0:μ≥2.6
H1:μ<2.6H1:μ<2.6

H0:p≥0.65H0:p≥0.65
H1:p<0.65H1:p<0.65

H0:μ≤2.6H0:μ≤2.6
H1:μ>2.6H1:μ>2.6

H0:p=0.65H0:p=0.65
H1:p≠0.65H1:p≠0.65

H0:μ=2.6H0:μ=2.6
H1:μ≠2.6H1:μ≠2.6

H0:p≤0.65H0:p≤0.65
H1:p>0.65H1:p>0.65

The test is:

two-tailed

left-tailed

right-tailed

Based on a sample of 45 people, the sample mean GPA was 2.63 with a standard deviation of 0.07

The p-value is:  (to 2 decimals)

Based on this we:

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

Answer 1

DATE Ans- n=45, x=2.63 0.63 s= 0.07 we want to test, Ho: el <.2.6 Hil> 2.6 The test is right- tailed Test statistic is It = x-4 Slin 2.63-2.5 0.07 line To 0.03 0.0104 t = 12.875 D-value = - 0.0031 oroo - rundred to a cleeimal since p-value < 0.10 Hence - the null hypothesis. Cocinned with CamScanner