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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Question

Test the claim that the mean GPA of night students is significantly different than 2.7 at the 0.01 significance level. You believe the population is normally distributed, but you do not know the standard deviation.

The null and alternative hypothesis would be:

H0:p=0.675
H1:p≠0.675

H0:μ≥2.7
H1:μ<2.7

H0:μ≤2.7
H1:μ>2.7

H0:p≤0.675

H1:p>0.675

H0:p≥0.675
H1:p<0.675

H0:μ=2.7
H1:μ≠2.7

The test is:

right-tailed

two-tailed

left-tailed

Based on a sample of 45 people, the sample mean GPA was 2.73 with a standard deviation of 0.02

The test statistic is: (to 4 decimals)

The p-value is: (to 4 decimals)

Based on this we:

Fail to reject the null hypothesis
Reject the null hypothesis

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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