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 HA:μ≠2HA:μ≠2 H0:p≤0.5H0:p≤0.5 HA:p>0.5HA:p>0.5 H0:p≥0.5H0:p≥0.5 HA:p<0.5HA:p<0.5 H0:μ≥2H0:μ≥2 HA:μ<2HA:μ<2 H0:μ≤2H0:μ≤2 HA:μ>2HA:μ>2 H0:p=0.5H0:p=0.5 HA:p≠0.5HA:p≠0.5 The test is: right-tailed two-tailed left-tailed Based on a sample of 50 people, the sample mean GPA was 1.95 with a standard deviation of 0.05 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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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
HA:μ≠2HA:μ≠2
H0:p≤0.5H0:p≤0.5
HA:p>0.5HA:p>0.5
H0:p≥0.5H0:p≥0.5
HA:p<0.5HA:p<0.5
H0:μ≥2H0:μ≥2
HA:μ<2HA:μ<2
H0:μ≤2H0:μ≤2
HA:μ>2HA:μ>2
H0:p=0.5H0:p=0.5
HA:p≠0.5HA:p≠0.5



The test is:

right-tailed

two-tailed

left-tailed

Based on a sample of 50 people, the sample mean GPA was 1.95 with a standard deviation of 0.05

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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