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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

Letμ=populationmeanworkweekforwomen

So, Null Hypothesis , H0: μ≤80hour week

( the mean work week has not increased for women )

Alternate Hypothesis , H0:μ>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¯-μsn~t=n-1

Where,

X¯=samplemeanworkweek=83

s = sample standard deviation =10

n= sample of women =75

So,t=83-801075~t=74

=2.598

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Most popular questions from this chapter

From generation to generation, the mean age when smokers first start to smoke varies. However , the standard deviation pf that age remains constant of around 2.1years . A survey of 40smokers of this generation was done to see if the mean starting age is at least 19. the sample mean was 18.1 with a sample standard deviation of1.3do the data support the claim at the 5%level?

When a new drug is created, the pharmaceutical company must subject it to testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. Suppose the null hypothesis is “the drug is unsafe.” What is the Type II Error?

a. To conclude the drug is safe when in, fact, it is unsafe.

b. Not to conclude the drug is safe when, in fact, it is safe.

c. To conclude the drug is safe when, in fact, it is safe.

d. Not to conclude the drug is unsafe when, in fact, it is unsafe.

For Americans using library services, the American Library Association claims that at most 67% of patrons borrow books. The library director in Owensboro, Kentucky feels this is not true, so she asked a local college statistic class to conduct a survey. The class randomly selected 100 patrons and found that 82 borrowed books. Did the class demonstrate that the percentage was higher in Owensboro, KY? Use α = 0.01 level of significance. What is the possible proportion of patrons that do borrow books from the Owensboro Library?

H0:p=0.5,Ha:p≠0.5

Assume the p-value is 0.2564. What type of test is this? Draw the picture of the p-value.

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H0:p=0.50,Ha:p>0.50

α=0.01

p-value=0.025.

Interpret the results and state a conclusion in simple, non-technical terms.
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