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Chapter 7: Q. 71 (page 432)

The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of \(4.59and a standard deviation of \)0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16gas stations. The distribution to use for the average cost of gasoline for the 16gas stations is:

a.X炉~N(4.59,0.10)

b.X炉~N4.59,0.1016

c.X炉~N4.59,160.10

d.X炉~N4.59,160.10

Short Answer

Expert verified

b.X炉~N4.59,0.1016

Step by step solution

01

Given information

The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16gas stations.

02

Explanation

the mean random variable is given by, X~N渭,蟽n

Plugging all the values in the above equation, we get

X~N4.59,0.1016

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Most popular questions from this chapter

Salaries for teachers in a particular elementary school district are normally distributed with a mean of \(44,000and a standard deviation of \)6,500. We randomly survey ten teachers from that district.

a. In words,X=______________

b.X~_____(_____,_____)

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