A study is conducted to compare the lengths of time required by men and women to assemble a certain product. Past experience indicates that the distribution of times for both men and women is approximately normal but the variance of the times for women is less than that for men. A random sample of times for 11 men and 14 women produced the following data: Men: n1= 11  s1= 6.1 Women:  n2= 14 s2= 5.3   Test the hypothesis that the variance for men is greater than for women. Use both p-value method and critical value approach.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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  1. A study is conducted to compare the lengths of time required by men and women to assemble a certain product. Past experience indicates that the distribution of times for both men and women is approximately normal but the variance of the times for women is less than that for men. A random sample of times for 11 men and 14 women produced the following data:

Men:

n1= 11 

s1= 6.1

Women: 

n2= 14

s2= 5.3

 

Test the hypothesis that the variance for men is greater than for women. Use both p-value method and critical value approach.

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