Answered: The accompanying table gives results…

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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The accompanying table gives results from a study of words spoken in a day by men and women. Assume that both samples are independent simple random samples from populations having normal distributions. Use a

0.05

significance level to test the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women.

	n	x	s
Men	185	15,667.8	8,632.5
Women	212	16,215.5	7,301.2

What are the null and alternative hypotheses?

A. H0: σ21≠σ22

H1: σ21=σ22

B. H0: σ21=σ22

H1: σ21>σ22

H0: σ21=σ22

H1: σ21<σ22

H0: σ21=σ22

H1: σ21≠σ22

Identify the test statistic.

(Round to two decimal places as needed.)

Use technology to identify the P-value.

The P-value is

(Round to three decimal places as needed.)

What is the conclusion for this hypothesis test?

A.Reject H0. There is insufficient evidence to support the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women.

B. Fail to reject H0. There is sufficient evidence to support the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women.

C. Fail to reject H0. There is insufficient evidence to support the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women.

D. Reject H0. There is sufficient

evidence to support the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women.

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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