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Chapter 7: Q.70 (page 457)

In the language of government statistics, you are “in the labor force” 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

The histogram above left shows the intervals (in minutes) between eruptions of the Old Faithful geyser for all 222recorded eruptions during a particular month. For this population, the median is 75minutes. We used Fathom software to take 500SRSs of size 10from the population. The 500values of the sample median are displayed in the histogram above right. The mean of the 500sample median values is 73.5.

Is the sample median an unbiased estimator of the population median? Justify your answer

The correlation between the age and height of children under the age of 12is found to ber=0.60. Suppose we use the agex of a child to predict the height y of the child. What can we conclude?
(a) The height is generally60% of a child’s weight.
(b) About60% of the time, age will accurately predict height.
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(d) The least-squares regression line of yon xhas a slope of0.6.
(e) Thirty-six percent of the time, the least-squares regression line accurately predicts height.

The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.5,but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation0.7.

(a) What are the mean and standard deviation of the average number of moths xin50traps?

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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,\(10)or the statement, “This ticket is not a winner.” Monetary prizes can be redeemed for groceries at the store. Here are the distribution of the prize values and the associated probabilities for each prize:

Which of the following are the mean and standard deviation, respectively, of the winnings?
\)15.00,\(2900.00
(b) \)15.00,\(53.85
(c) \)15.00,\(26.9

(d) \)156.25,\(53.85

(e) \)156.25,$26.93

The name for the pattern of values that a statistic takes when we sample repeatedly from the same population is

(a) the bias of the statistic.

(b) the variability of the statistic.

(c) the population distribution.

(d) the distribution of sample data.

(e) the sampling distribution of the statistic.
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