Hypothesis Test for a Population Mean Test the claim that the mean GPA of day students is smaller than 2.2 at the 0.10 significance level. The test is based on a sample of 80 people, the sample mean GPA was 2.18 with a standard deviation of 0.04. The null and alternative hypothesis would be: H0:p≥0.55 H1:p<0.55 H0:μ≤2.2 H1:μ>2.2 H0:p=0.55 H1:p≠0.55 H0:μ≥2.2 H1:μ<2.2 H0:p≤0.55 H1:p>0.55 H0:μ=2.2 H1:μ≠2.2 The test is: two-tailed left-tailed right-tailed 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

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Hypothesis Test for a Population Mean

Test the claim that the mean GPA of day students is smaller than 2.2 at the 0.10 significance level. The test is based on a sample of 80 people, the sample mean GPA was 2.18 with a standard deviation of 0.04.

The null and alternative hypothesis would be:

H0:p≥0.55
H1:p<0.55

H0:μ≤2.2
H1:μ>2.2

H0:p=0.55
H1:p≠0.55

H0:μ≥2.2
H1:μ<2.2

H0:p≤0.55
H1:p>0.55

H0:μ=2.2
H1:μ≠2.2



The test is:

two-tailed

left-tailed

right-tailed



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
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