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Chapter 9: Q.79 (page 543)

In 1955, Life Magazine reported that the 25year-old mother of three worked, on average, an 80 hour week. Recently,

many groups have been studying whether or not the women's movement has, in fact, resulted in an increase in the average

work week for women (combining employment and at-home work). Suppose a study was done to determine if the mean

work week has increased. 81women were surveyed with the following results. The sample mean was83the sample

standard deviation was ten. Does it appear that the mean work week has increased for women at the role="math" localid="1650381098713" 5%level?

Short Answer

Expert verified

Yes, the average work hours for women have 5%grown.

Step by step solution

01

 Given Information

Let渭=populationmeanworkweekforwomen

So, Null Hypothesis , H0: 渭鈮�80hour week

( the mean work week has not increased for women )

Alternate Hypothesis , H0:渭>80

( the mean work week has increased for women )

02

Explanation

The test statistics that will be used here is One-sample t test statistics because we do not know about population standard deviation ;

T.S=X炉-渭sn~t=n-1

Where,

X炉=samplemeanworkweek=83

s = sample standard deviation =10

n= sample of women =75

So,t=83-801075~t=74

=2.598

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