Test the claim that the mean GPA of night students is larger than 2.1 at the 0.05 significance level. The null and alternative hypothesis would be: Но : и< 2.1 Н:р 3D 0.525 Но:р< 0.525 H:д > 2.1 Н:р + 0.525 Ні:р> 0.525 Но: и 3D 2.1 Но : д> 2.1 Но:p> 0.525 H:и + 2.1 H :n < 2.1 Ні:р 0.525 The test is: two-tailed right-tailed left-tailed Based on a sample of 55 people, the sample mean GPA was 2.14 with a standard deviation of 0.02 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 larger than 2.1 at the 0.05 significance
level.
The null and alternative hypothesis would be:
Ho: 4 < 2.1 H, :p
H1: µ > 2.1 H1:p + 0.525 H1:p > 0.525
0.525 Ho:p < 0.525
Ho: µ = 2.1 H, : u > 2.1 Ho:p > 0.525
Н:р + 2.1 Н:n < 2.1 Ні:р < 0.525
The test is:
two-tailed right-tailed left-tailed
Based on a sample of 55 people, the sample
mean GPA was 2.14 with a standard deviation of
0.02
The p-value is:
(to 2
decimals)
Based on this we:
Reject the null hypothesis
Fail to reject the null hypothesis
Transcribed Image Text:Test the claim that the mean GPA of night students is larger than 2.1 at the 0.05 significance level. The null and alternative hypothesis would be: Ho: 4 < 2.1 H, :p H1: µ > 2.1 H1:p + 0.525 H1:p > 0.525 0.525 Ho:p < 0.525 Ho: µ = 2.1 H, : u > 2.1 Ho:p > 0.525 Н:р + 2.1 Н:n < 2.1 Ні:р < 0.525 The test is: two-tailed right-tailed left-tailed Based on a sample of 55 people, the sample mean GPA was 2.14 with a standard deviation of 0.02 The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Expert Solution
Step 1

Hypothesis:

The null and alternate hypothesis would be:

H0: μ2.1H1: μ>2.1

The test is : right tailed.

The test statistic is obtained as below:

t=x¯-μsn=2.14-2.10.0255=0.040.0027=14.8324

Thus, the test statsitic is 14.8324.

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