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Chapter 7: Q 39. (page 462)

Airport security The Transportation Security Administration (TSA) is responsible for

airport safety. On some flights, TSA officers randomly select passengers for an extra security check before boarding. One such flight had 76辫补蝉蝉别苍驳别谤蝉鈥�12in first class and 64in coach class. TSA officers selected an SRS of 10passengers for screening. Let p铃� be the proportion of first-class passengers in the sample.

a. Is the 10% condition met in this case? Justify your answer.

b. Is the Large Counts condition met in this case? Justify your answer.

Short Answer

Expert verified

a. No.

b. Condition of large counts is not met.

Step by step solution

01

Given Information

It is given that out of 76passengers, 12in first class and 64in coach class.

02

Explaining 10% condition met in this case

It is not met as sample size of10is greater than10%of population size of76.

03

Explaining large count condition

The sample size is 10as 10samples are taken for screening.

Neithernpnorn(1-p)will be at least10.

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Most popular questions from this chapter

AP2.20 A grocery chain runs a prize game by giving each customer a ticket that may win a prize when the box is scratched off. Printed on the ticket is a dollar value ( \( 500, \) 100, \(25) or the statement "This ticket is not a winner." Monetary prizes can be redeemed for groceries at the store. Here is the probability distribution of the amount won on a randomly selected ticket:

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When people order books from a popular online source, they are shipped in boxes.

Suppose that the mean weight of the boxes is 1.5 pounds with a standard deviation of 0.3 pound, the mean weight of the packing material is 0.5pound with a standard deviation of 0.1 pound, and the mean weight of the books shipped is 12 pounds with a standard deviation of 3 pounds. Assuming that the weights are independent, what is the standard deviation of the total weight of the boxes that are shipped from this source?

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A study of voting chose 663 registered voters at random shortly after an election. Of these, 72%said they had voted in the election. Election records show that only 56%of registered voters voted in the election. Which of the following statements is true?

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b. 72%and 56%are both statistics.

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d. 72%is a parameter and 56%is a statistic.

e. 72%and 56%are both parameters.
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