Test the claim that the mean GPA of night students is larger than 2 at the .025 significance level.The null and alternative hypothesis would be:H0:p=0.5H1:p<0.5H0:μ=2H1:μ≠2H0:p=0.5H1:p≠0.5H0:μ=2H1:μ>2H0:μ=2H1:μ<2H0:p=0.5H1:p>0.5Based on a sample of 60 people, the sample mean GPA was 2.03 with a standard deviation of 0.06The test statistic is (to 3 decimals)The critical value is (to 3 decimals)Based on this wereject the null hypothesisfail to reject the null hypothesis

Solution: Let X be the GPA of night student. From the given information, x-bar=2.03, S=0.06 and n=60.The given claim is that the mean GPA of night students is larger than 2. State the hypotheses. Null hypothesis: H0: µ=2 That is, the mean GPA of night student is not larger than 2. Alternative hypothesis: H1: µ>2 That is, the mean GPA of night student is larger than 2. Here, the test is right-tailed. Thus, the correct option is “H0: µ=2 and H1: µ>2”.The test statistic is Thus, the test statistic is 3.873. The critical value is Thus, the critical value is 2.001.Rejection rule: If the test statistic value is greater than 2.001, then reject the null hypothesis. Conclusion: Here, the test statistic is 3.873. This is greater than 2.001. By the rejection rule, reject the null hypothesis. Thus, the correct option is “reject the null hypothesis”.

Answered: Test the claim that the mean GPA of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

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Test the claim that the mean GPA of night students is larger than 2 at the .025 significance level.

The null and alternative hypothesis would be:

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

Based on a sample of 60 people, the sample mean GPA was 2.03 with a standard deviation of 0.06

The test statistic is (to 3 decimals)

The critical value is (to 3 decimals)

Based on this we

reject the null hypothesis
fail to reject the null hypothesis

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