**Test the Claim about Night Students' Mean GPA at 0.10 Significance Level****Objective**: Test the claim that the mean GPA of night students is larger than 3.1 at the 0.10 significance level.**Hypotheses Selection**:- **Null Hypothesis (\(H_0\))**: \(\mu = 3.1\)- **Alternative Hypothesis (\(H_1\))**: \(\mu > 3.1\)**Type of Test**: - Right-tailed**Sample Information**:- Sample size: 75 people- Sample mean GPA: 3.12- Standard deviation: 0.05**Statistical Analysis**:- **Test Statistic**: \( \_\_\_\_\_\_ \) (to 2 decimals)- **P-value**: \( \_\_\_\_\_\_ \) (to 2 decimals)**Decision**:- Based on the results, choose one of the following: - Reject the null hypothesis - Fail to reject the null hypothesisUse this layout to input and interpret statistical data related to hypothesis testing in educational contexts.

Assume that μ is the mean GPA of all night students.

Answered: Test the claim that the mean GPA of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Test the claim that the mean GPA of night students is smaller than 2.6 at the 0.01 significance level.The null and alternative hypotheses would be: H0:p=0.65H1:p<0.65 H0:p=0.65H1:p>0.65 H0:p=0.65H1:p≠0.65 H0:μ=2.6H1:μ≠2.6 H0:μ=2.6H1:μ<2.6 H0:μ=2.6H1:μ>2.6 Based on a sample of 33 people, the sample mean GPA was 2.59 with a standard deviation of 0.2The p-value is: (to 3 decimals)The significance level is: (to 2 decimals)
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