### Hypothesis Testing: Mean GPA of Night StudentsIn this exercise, we are testing the claim that the mean GPA of night students is smaller than 2.5 at the 0.10 significance level. #### Setting Up the Hypothesis:The null and alternative hypotheses are defined as follows:- \( H_0: \mu \leq 2.5 \) (null hypothesis: the mean GPA is 2.5 or greater)- \( H_1: \mu < 2.5 \) (alternative hypothesis: the mean GPA is less than 2.5)#### Nature of the Test:- The test is **left-tailed**, since we are testing if the mean GPA is significantly smaller than 2.5.#### Sample Data:Based on a sample of 55 people, the collected data is:- Sample mean GPA \( \bar{x} = 2.47 \)- Standard deviation \( s = 0.03 \)#### P-value Calculation:- You need to calculate the p-value based on the given data.**Note:** The specific p-value needs to be computed and then entered.#### Conclusion Based on Hypothesis Testing:Depending on the computed p-value and the 0.10 significance level, you will choose one of the following conclusions:- **Reject the null hypothesis**- **Fail to reject the null hypothesis**This worksheet helps in understanding the process of formulating and testing statistical hypotheses in the context of evaluating the mean GPA among night students. It includes defining the null and alternative hypotheses, determining the nature of the test, calculating the p-value and making a decision based on the p-value.

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Description: ### Hypothesis Testing: Mean GPA of Night StudentsIn this exercise, we are testing the claim that the mean GPA of night students is smaller than 2.5 at the 0.10 significance level. #### Setting Up the Hypothesis:The null and alternative hypotheses a

In order to determine whether the mean GPA of night students is less than 2.5 or not, conduct a…

Math

Statistics

Test the claim that the mean GPA of night students is smaller than 2.5 at the 0.10 significance level. The null and alternative hypothesis would be: Но:р 3 0.625 Но:р< 0.625 Но:p 2 0.625 Но:и 2 2.5 Но:и —D 2.5 Но: и < 2.5 Н:р #0.625 Н,:р> 0.625 H;:р< 0.625 Н;:р < 2.5 Hi:и # 2.5 H:n > 2.5 The test is: right-tailed two-tailed left-tailed Based on a sample of 55 people, the sample mean GPA was 2.47 with a standard deviation of 0.03 The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis

Test the claim that the mean GPA of night students is smaller than 2.5 at the 0.10 significance level. The null and alternative hypothesis would be: Но:р 3 0.625 Но:р< 0.625 Но:p 2 0.625 Но:и 2 2.5 Но:и —D 2.5 Но: и < 2.5 Н:р #0.625 Н,:р> 0.625 H;:р< 0.625 Н;:р < 2.5 Hi:и # 2.5 H:n > 2.5 The test is: right-tailed two-tailed left-tailed Based on a sample of 55 people, the sample mean GPA was 2.47 with a standard deviation of 0.03 The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis

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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