You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 20 night students and 27 day students and their GPA's are recorded below. Test the claim using a 10% level of significance. Assume the population variances are unequal and that GPAs are normally distributed. Give answers to 4 decimal places. GPA-NightGPA-Day3.533.143.133.353.562.893.263.163.263.223.244.043.422.883.462.983.222.992.872.63.423.343.373.013.053.092.913.813.213.233.633.223.173.253.512.923.433.083.493.34 3.32 2.61 3.1 3.01 2.98 2.7 3.69 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem.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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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. A sample of 20 night students and 27 day students and their GPA's are recorded below. Test the claim using a 10% level of significance. Assume the population variances are unequal and that GPAs are normally distributed. Give answers to 4 decimal places.

GPA-Night	GPA-Day
3.53	3.14
3.13	3.35
3.56	2.89
3.26	3.16
3.26	3.22
3.24	4.04
3.42	2.88
3.46	2.98
3.22	2.99
2.87	2.6
3.42	3.34
3.37	3.01
3.05	3.09
2.91	3.81
3.21	3.23
3.63	3.22
3.17	3.25
3.51	2.92
3.43	3.08
3.49	3.34
	3.32
	2.61
	3.1
	3.01
	2.98
	2.7
	3.69

What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem.

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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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