Use aχ2-testto test the claimσ<41at theα=0.05significance level using sample statisticss=41.1andn=17.Assume the population is normally distributed. Identify the null and alternative hypotheses. A.H0:σ>41Ha:σ≤41 B.H0:σ≤41Ha:σ>41 C.H0:σ≥41Ha:σ<41Your answer is correct. D.H0:σ<41Ha:σ≥41Identify the test statistic. 16.07816.078(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.)

From the provided information, The sample standard deviation (s) = 41.1 Sample size (n) = 17 Level…

Answered: Use a χ2-test to test the claim σ<41…

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<41

at the

α=0.05

significance level using sample statistics

s=41.1

and

n=17.

Assume the population is normally distributed.

Identify the null and alternative hypotheses.

H0:

σ>41

Ha:

σ≤41

H0:

σ≤41

Ha:

σ>41

H0:

σ≥41

Ha:

σ<41

Your answer is correct.

H0:

σ<41

Ha:

σ≥41

Identify the test statistic.

16.07816.078

(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.)

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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