Test the claim that the mean GPA of night students is significantly different than 2 at the 0.2 significance level. The null and alternative hypothesis would be:   H0:μ≥2H0:μ≥2 H1:μ<2H1:μ<2 H0:μ≤2H0:μ≤2 H1:μ>2H1:μ>2 H0:p≥0.5H0:p≥0.5 H1:p<0.5H1:p<0.5 H0:p=0.5H0:p=0.5 H1:p≠0.5H1:p≠0.5 H0:p≤0.5H0:p≤0.5 H1:p>0.5H1:p>0.5 H0:μ=2H0:μ=2 H1:μ≠2H1:μ≠2 The test is:   right-tailed two-tailed left-tailed

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Test the claim that the mean GPA of night students is significantly different than 2 at the 0.2 significance level.

The null and alternative hypothesis would be:

 

H0:μ≥2H0:μ≥2
H1:μ<2H1:μ<2
H0:μ≤2H0:μ≤2
H1:μ>2H1:μ>2
H0:p≥0.5H0:p≥0.5
H1:p<0.5H1:p<0.5
H0:p=0.5H0:p=0.5
H1:p≠0.5H1:p≠0.5
H0:p≤0.5H0:p≤0.5
H1:p>0.5H1:p>0.5
H0:μ=2H0:μ=2
H1:μ≠2H1:μ≠2



The test is:

 

right-tailed
two-tailed
left-tailed
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Follow-up Question

Test the claim that the mean GPA of night students is significantly different than 2 at the 0.2 significance level.

The null and alternative hypothesis would be:

 

H0:μ≥2H0:μ≥2
H1:μ<2H1:μ<2
H0:μ≤2H0:μ≤2
H1:μ>2H1:μ>2
H0:p≥0.5H0:p≥0.5
H1:p<0.5H1:p<0.5
H0:p=0.5H0:p=0.5
H1:p≠0.5H1:p≠0.5
H0:p≤0.5H0:p≤0.5
H1:p>0.5H1:p>0.5
H0:μ=2H0:μ=2
H1:μ≠2H1:μ≠2



The test is:

 

right-tailed
two-tailed
left-tailed



Based on a sample of 25 people, the sample mean GPA was 1.97 with a standard deviation of 0.06

The p-value is:  (to 2 decimals)

Based on this we:

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