Test the claim that the mean GPA of night students is significantly different than 2.5 at...

Test the claim that the mean GPA of night students is significantly different than 2.5 at the 0.05 significance level.

The null and alternative hypothesis would be:

H0:p≥0.625H0:p≥0.625
H1:p<0.625H1:p<0.625

H0:p≤0.625H0:p≤0.625
H1:p>0.625H1:p>0.625

H0:p=0.625H0:p=0.625
H1:p≠0.625H1:p≠0.625

H0:μ≥2.5H0:μ≥2.5
H1:μ<2.5H1:μ<2.5

H0:μ=2.5H0:μ=2.5
H1:μ≠2.5H1:μ≠2.5

H0:μ≤2.5H0:μ≤2.5
H1:μ>2.5H1:μ>2.5

The test is:

right-tailed

left-tailed

two-tailed

Based on a sample of 70 people, the sample mean GPA was 2.48 with a standard deviation of 0.08

The test statistic is: (to 2 decimals)

The p-value is: (to 2 decimals)

Based on this we:

Reject the null hypothesis
Fail to reject the null hypothesis

Solutions

Expert Solution

This is two-tailed test

TS = -2.09

p-value = 0.04

we reject the null hypothesis

Please rate

orchestra answered 1 year ago

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