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Chapter 7: Q. 74 (page 481)

10%Why is it important to check the 10 % condition before calculating probabilities involving localid="1654670795605">x-?

a. To reduce the variability of the sampling distribution of x-x炉

b. To ensure that the distribution of x-x炉is approximately Normal

c. To ensure that we can generalize the results to a larger population

d. To ensure that x-x炉will be an unbiased estimator of 渭

e. To ensure that the observations in the sample are close to independent

Short Answer

Expert verified

(e)To ensure that the observations in the sample are close to independent,

Step by step solution

01

Given Information

Check the 10 % condition before calculating probabilities

02

Explanation for correct option

The goal to ensure that the observations in the sample are close to independent is the motivation for testing ten percent conditions first.

As a result, the best solution is (e)

03

Explanation for incorrect option

a. To reduce the variability of the sampling distribution of x-x炉is not the answer.

b. To ensure that the distribution of x-x炉is approximately Norma is not the answer.

c. To ensure that we can generalize the results to a larger population is not the answer.

d. To ensure that x-x炉will be an unbiased estimator of 渭is not the answer.

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Most popular questions from this chapter

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 .\(

b. What are the mean and standard deviation of the sampling distribution of x-x炉?

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

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