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 mean 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 mean and 14 women produced the following data women men n1 = 14 n2 = 11 s1 = 5.3 s2 = 6.1 Can you conclude that variance of the times for women less than that for men?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 mean 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 mean and 14 women produced the following data

women

men

n1 = 14

n2 = 11

s1 = 5.3

s2 = 6.1

Can you conclude that variance of the times for women less than that for men?

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