Test the claim that the mean GPA of night students is significantly different than 3.4 at the 0.01 significance level. You believe the population is normally distributed, but you do not know the...


Test the claim that the mean GPA of night students is significantly different than 3.4 at the 0.01 significance level. You believe the population is normally distributed, but you do not know the standard deviation.


The null and alternative hypothesis would be:




H0:μ≥3.4H0:μ≥3.4
H1:μ<><>

H0:p≤0.85H0:p≤0.85
H1:p>0.85H1:p>0.85

H0:μ=3.4H0:μ=3.4
H1:μ≠3.4H1:μ≠3.4

H0:p≥0.85H0:p≥0.85
H1:p<><>

H0:p=0.85H0:p=0.85
H1:p≠0.85H1:p≠0.85

H0:μ≤3.4H0:μ≤3.4
H1:μ>3.4H1:μ>3.4


The test is:




two-tailed

right-tailed

left-tailed


Based on a sample of 80 people, the sample mean GPA was 3.39 with a standard deviation of 0.05


The test statistic is:  (to 4 decimals)


The p-value is:  (to 4 decimals)


Based on this we:




  • Reject the null hypothesis

  • Fail to reject the null hypothesis




Jun 02, 2022
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