## Hypothesis Testing for Difference in Means### ScenarioYou are testing the claim that the mean GPA of night students is different from the mean GPA of day students.1. **Night Students:** - Sample Size (n₁): 60 - Sample Mean (x̄₁): 2.63 - Standard Deviation (s₁): 0.562. **Day Students:** - Sample Size (n₂): 45 - Sample Mean (x̄₂): 2.62 - Standard Deviation (s₂): 0.98### TaskCalculate the test statistic, rounded to two decimal places. To test the hypothesis, we use the formula for the test statistic for the difference between two means:\[ t = \frac{(x̄₁ - x̄₂)}{\sqrt{\left( \frac{s₁²}{n₁} + \frac{s₂²}{n₂} \right) }}\]Where:- $ x̄₁ $ and $ x̄₂ $ are the sample means for night and day students respectively.- $ s₁ $ and $ s₂ $ are the standard deviations of the samples.- $ n₁ $ and $ n₂ $ are the sample sizes.By substituting the given values into the formula, you can calculate the test statistic.

Given data, n1=60 x1=2.63 s1=0.56 n2=45 x2=2.62 s2=0.98 Test -statistic=?

You are testing the claim that the mean GPA of night students is different than the mean GPA of day students. You sample 60 night students, and the sample mean GPA is 2.63 with a standard deviation of 0.56 You sample 45 day students, and the sample mean GPA is 2.62 with a standard deviation of 0.98

You are testing the claim that the mean GPA of night students is different than the mean GPA of day students. You sample 60 night students, and the sample mean GPA is 2.63 with a standard deviation of 0.56 You sample 45 day students, and the sample mean GPA is 2.62 with a standard deviation of 0.98

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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