Answered: Use a χ2-test to test the claim σ≥38…

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

Use a

χ2-test

to test the claim

σ≥38

at the

α=0.05

significance level using sample statistics

s=36.8

and

n=21.

Assume the population is normally distributed.

Click the icon to view the Chi-Square Critical Values Table.

Identify the null and alternative hypotheses.

H0:

σ<38

Ha:

σ≥38

H0:

σ>38

Ha:

σ≤38

H0:

σ≥38

Ha:

σ<38

H0:

σ≤38

Ha:

σ>38

Identify the test statistic.

enter your response here

(Round to three decimal places as needed.)

Identify the critical value(s).

enter your response here

(Round to three decimal places as needed. Use a comma to separate answers as needed.)

Choose the correct conclusion below.

Reject

H0.

There

is not

enough evidence at the

level of significance to reject the claim.

Fail to reject

H0.

There

enough evidence at the

level of significance to reject the claim.

Fail to reject

H0.

There

is not

enough evidence at the

level of significance to reject the claim.

Reject

H0.

There

enough evidence at the

level of significance to reject the claim.

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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