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Chapter 7: Q.70 (page 457)

In the language of government statistics, you are 鈥渋n the labor force鈥� if you are available for work and either working or actively seeking work. The unemployment rate is the proportion of the labor force (not of the entire population) who are unemployed. Here are data from the Current Population Survey for the civilian population aged 25years and over in a recent year. The table entries are counted by thousands of people.

Unemployment (5.1) What is the probability that a randomly chosen person 25 years of age or older is in the labor force? Show your work.

Short Answer

Expert verified

From the given information the required probability is0.6704

Step by step solution

01

Given Information

It is given in the question that,

02

Explanation

Know that probability can be calculated by dividing the number of favorable outcomes by the number of possible outcomes:

To find the required probability, divide the sum of all people in the labor force by the total population.

Therefore, the needed probability is:

Number of favorable outcomesNumber of possible outcomes=12470+37834+34439+4039027669+59860+47556+51582=125133186667=0.6704

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Most popular questions from this chapter

Decreasing the sample size from 750to 375would multiply the standard deviation by

(a) 2.

(b) 2.

(c) 1/2.

(d) 1/2.

(e) none of these.

When people order books from a popular online source, they are shipped in standard-sized boxes. Suppose that the mean weight of the boxes is1.5pounds with a standard deviation of 0.3pounds, the mean weight of the packing material is 0.5pounds with a standard deviation of 0.1 pounds, and the mean weight of the books shipped is12 pounds with a
standard deviation of3 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?
(a)1.84
(b) 2.60

(c) 3.02

(d) 3.40

(e)9.10

Dem bones (2.2) Osteoporosis is a condition in which the bones become brittle due to loss of minerals. To diagnose osteoporosis, an elaborate apparatus measures bone mineral density (BMD). BMD is usually reported in standardized form. The standardization is based on a population of healthy young adults. The World Health Organization (WHO) criterion for osteoporosis is a BMD score that is 2.5standard deviations below the mean for young adults. BMD measurements in a population of people similar in age and gender roughly follow a Normal distribution.

(a) What percent of healthy young adults have osteoporosis by the WHO criterion?

(b) Women aged 70to79 are, of course, not young adults. The mean BMD in this age group is about 2 on the standard scale for young adults. Suppose that the standard deviation is the same as for young adults. What percent of this older population has osteoporosis?

Predict the election Just before a presidential election, a national opinion poll increases the size of its weekly random sample from the usual 1500 people to 4000 people.

(a) Does the larger random sample reduce the bias of the poll result? Explain.

(b) Does it reduce the variability of the result? Explain

The number of unbroken charcoal briquets in a twenty-pound bag filled at the factory follows a Normal distribution with a mean of450briquets and a standard deviation of 20briquets. The company expects that a certain number of the bags will be underfilled, so the company will replace for free the 5% of bags that have too few briquets. What is the minimum number of unbroken briquets the bag would have to contain for the company to avoid having to replace the bag for free?

(a) 404

(b) 411

(c) 418

(d) 425

(e)448
See all solutions

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