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Chapter 7: Q. 77 (page 482)

Exercises 77 refer to the following setting. 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) that is unemployed. Here are estimates from the Current Population Survey for the civilian population aged 25 years and over in a recent year. The table entries are counts in thousands of people.

Unemployment (1.1) Find the unemployment rate for people with each level of education. Is there an association between unemployment rate and education? Explain your answer.

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Explanation for correct option

The number of persons who are unemployed is equal to the number of individuals who are employed.

the unemployment rate is

It has been found that the unemployment rate varies depending on the highest level of education. As a result, there appears to be a link between unemployment and schooling.

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Most popular questions from this chapter

At a traveling carnival, a popular game is called the 鈥淐ash Grab.鈥� In this game, participants step into a sealed booth, a powerful fan turns on, and dollar bills are dropped from the ceiling. A customer has 30 seconds to grab as much cash as possible while the dollar bills swirl around. Over time, the operators of the game have determined that the mean amount grabbed is \(13 with a standard deviation of \)9. They charge \(15 to play the game and expect to have 40 customers at their next carnival.

a. What is the probability that an SRS of 40 customers grab an average of \)15 or more?

b. How much should the operators charge if they want to be 95% certain that the mean amount grabbed by an SRS of 40 customers is less than what they charge to play the game?

The distribution of grade point average for students at a large high school is skewed to the left with a mean of 3.53 and a standard deviation of 1.02.

a. Describe the shape of the sampling distribution of x炉 for SRSs of size n = 4 from the population of students at this high school. Justify your answer.

b. Describe the shape of the sampling distribution of x炉 for SRSs of size n = 50 from the Page Number: 480 population of students at this high school. Justify your answer.

The candy machine Suppose a large candy machine has 45%orange candies, Use Figures 7.11and7.12(page 434) to help answer the following questions.

(a) Would you be surprised if a sample of 25candies from the machine contained 8orange candies (that's 32%orange)? How about 5orange candies ( 20%orange)? Explain.

(b) Which is more surprising getting a sample of 25candies in which 32%are orange or getting a sample of 50candies in which 32%are orange? Explain.

According to government data, 22%of American children under the age of 6 live in households with incomes less than the official poverty level. A study of learning in

early childhood chooses an SRS of300 children from one state and finds that p鈭�p^=.

a. Find the probability that at least 29%of the sample are from poverty-level households0.29households.

b. Based on your answer to part (a), is there convincing evidence that the percentage of children under the age of 6 living in households with incomes less than the official poverty level in this state is greater than the national value of 22%? Explain your reasoning.

The math department at a small school has 5teachers. The ages of these teachers are 23,34,37,42,58. Suppose you select a random sample of 4teachers and calculate the sample minimum age. Which of the following shows the sampling distribution of the sample minimum age?

a.

b.

c.

d.

e. None of these
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