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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 76passengers—12in first class and 64in coach class. TSA officers selected an SRS of 10passengers for screening. Let p⏜ 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


On one episode of his show, a radio show host encouraged his listeners to visit his website and vote in a poll about proposed tax increases. Of the 4821 people who vote, 4277 are against the proposed increases. To which of the following populations should the results of this poll be generalized?

a. All people who have ever listened to this show

b. All people who listened to this episode of the show

c. All people who visited the show host's website

d. All people who voted in the poll

e. All people who voted against the proposed increases

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

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

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

d. To ensure that x-x¯will be an unbiased estimator of μ

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

Which one of the following would be a correct interpretation if you have a z-score of +2.0 on an exam?

a. It means that you missed two questions on the exam.

b. It means that you got twice as many questions correct as the average student.

c. It means that your grade was 2 points higher than the mean grade on this exam.

d. It means that your grade was in the upper 2% of all grades on this exam.

e. It means that your grade is 2 standard deviations above the mean for this exam.

The mean of this distribution (don’t try to find it) will be

a. very close to the median.

b. greater than the median.

c. less than the median.

d. You can’t say, because the distribution isn’t symmetric.

e. You can’t say, because the distribution isn’t Normal.

Squirrels and their food supply (3.2) Animal species produce more offspring when their supply of food goes up. Some animals appear able to anticipate unusual food abundance. Red squirrels eat seeds from pinecones, a food source that sometimes has very large crops. Researchers collected data on an index of the abundance of pinecones and the average number of offspring per female over 16years.4Computer output from a least-squares 4regression on these data and a residual plot are shown here

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