Test the claim that the mean GPA of night students is smaller than 2.3 at the 0.05 significance level. The null and alternative hypothesis would be: H0:μ≥2.3H0:μ≥2.3 H1:μ0.575H1:p>0.575...


Test the claim that the mean GPA of night students is smaller than 2.3 at the 0.05 significance level.


The null and alternative hypothesis would be:




H0:μ≥2.3H0:μ≥2.3
H1:μ<><>

H0:p=0.575H0:p=0.575
H1:p≠0.575H1:p≠0.575

H0:μ=2.3H0:μ=2.3
H1:μ≠2.3H1:μ≠2.3

H0:p≤0.575H0:p≤0.575
H1:p>0.575H1:p>0.575

H0:μ≤2.3H0:μ≤2.3
H1:μ>2.3H1:μ>2.3

H0:p≥0.575H0:p≥0.575
H1:p<><>






The test is:




two-tailed

left-tailed

right-tailed






Based on a sample of 30 people, the sample mean GPA was 2.26 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:




  • Fail to reject the null hypothesis

  • Reject the null hypothesis




Jun 07, 2022
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