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Chapter 7: Q 38. (page 462)

More workers What sample size would be required to reduce the standard deviation of the sampling distribution to one-third the value you found in Exercise 36(b)? Justify your answer.

Short Answer

Expert verified

Sample size is135.

Step by step solution

01

Given Information

It is given thatn=15

02

Calculation

Standard deviation is given by 蟽p^=p(1-p)n

Dividing it by 3

蟽p^3=13p(1-p)n=19路p(1-p)n=p(1-p)9n

We can see nis replaced by 9n.

It means sample size need to be multiplied by 9.

9n=9(15)=135

Required sample size is135

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Most popular questions from this chapter

Doing homework A school newspaper article claims that 60%of the students at a large high school completed their assigned homework last week. Assume that this claim is true for the 2000students at the school.

a. Make a bar graph of the population distribution.

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The amount that households pay service providers for access to the Internet varies quite a bit, but the mean monthly fee is 50\( and the standard deviation is 20\). The distribution is not Normal: many households pay a low rate as part of a bundle with phone or television service, but some pay much more for Internet only or for faster connections. 11 A sample survey asks an SRS of 50 households with Internet access how much they pay. Let x-x炉be the mean amount paid.

a. Explain why you can't determine the probability that the amount a randomly selected household pays for access to the Internet exceeds 55 .\(

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c. What is the shape of the sampling distribution of x-x炉? Justify your answer.

d. Find the probability that the average fee paid by the sample of households exceeds 55 .\)

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