Question

1) Test the claim that the mean GPA of night students is smaller than 3.1 at...

1) Test the claim that the mean GPA of night students is smaller than 3.1 at the 0.02 significance level.

a. The null and alternative hypotheses would be:

H0:p=0.775
H1:p≠0.775

H0:p=0.775
H1:p<0.775

H0:μ=3.1
H1:μ≠3.1

H0:μ=3.1
H1:μ>3.1

H0:μ=3.1
H1:μ<3.1

H0:p=0.775
H1:p>0.775

b. The test is:

*left-tailed

*right-tailed

*two-tailed

2) Based on a sample of 31 people, the sample mean GPA was 3.08 with a standard deviation of 0.14

a. The p-value is: ______ (to 3 decimals)

b. The significance level is: ______ (to 2 decimals)

3) Based on this we:

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

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