### Hypothesis Testing: Mean GPA of Night Students vs. Day Students#### Scenario:You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. In this study:- You sampled 35 night students with a sample mean GPA of 2.68 and a standard deviation of 0.75.- You sampled 55 day students with a sample mean GPA of 2.45 and a standard deviation of 0.49.- The test is conducted using a 5% level of significance.- Assume the population standard deviations are unequal and that GPAs are normally distributed.- Provide answers to at least 4 decimal places.#### Hypotheses:What are the correct hypotheses?- Null Hypothesis (H₀): Select an answer- Alternative Hypothesis (H₁): Select an answerBased on the hypotheses, find the following:#### Calculation of Test Statistic:Test Statistic = __________#### Determination of Critical Values:Critical Values = ± __________ (Just enter the positive C.V.)The correct decision is to: Select an answer#### Summary:The correct summary would be: Select an answer that the mean GPA of night students is different from the mean GPA of day students.

Mean()=5.68standard deviation(s1)=0.75sample size(n1)=35Mean()=2.45standard deviation(s2)=0.49sample…

Answered: You are testing the claim that the mean…

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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You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 20 night students, and the sample mean GPA is 2.85 with a standard deviation of 0.86. You sample 30 day students, and the sample mean GPA is 3.02 with a standard deviation of 0.4. Test the claim using a 5% level of significance. Assume the population standard deviations are unequal and that GPAs are normally distributed. Give answer to at least 4 decimal places. What are the correct hypotheses?H0: = H1: Based on the hypotheses, find the following:Test Statistic = p− value = The correct decision is to The correct summary would be: that the mean GPA of night students is different from the mean GPA of day students.
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