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Chapter 7: Q.2 (page 428)

identify the population, the parameter, the sample, and the statistic in each setting

Unemployment Each month, the Current Population Survey interviews a random sample of individuals in about 55,000U.S. households. One of their goals is to estimate the national unemployment rate. In December 2009,10.0%of those interviewed were unemployed

Short Answer

Expert verified

All individuals in the U.S are the population.

The sample is 55,000U.S households in the population.

The parameter is the unemployment rate.

The statistic is the proportion of people that have been interviewed, that is 10percent is the sample statistic.

Step by step solution

01

Given Information

Each month, the Current populace Survey interviews vs an irregular example of people in around 55,000U.S. family units. One of their objectives is to appraise the national joblessness rate. In December 10.0%of those met were jobless.

02

Explanation

The individuals that are studied are considered as the population. Here, all individuals of the U.S are the population.

A sample is the subpart of the population that is studied to get details about the population.

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Most popular questions from this chapter

On Tuesday, the bottles of Arizona Iced Tea filled in a plant were supposed to contain an average of 20ounces of iced tea. Quality control inspectors sampled50bottles at random from the day’s production. These bottles contained an average of 20ounces of iced tea.

Thousands of travelers pass through the airport in Guadalajara, Mexico, each day. Before leaving the airport, each passenger must pass through the Customs inspection area. Customs agents want to be sure that passengers do not bring illegal items into the country. But they do not have time to search every traveler’s luggage. Instead, they require each person to press a button. Either a red or a green bulb lights up. If the red light shows, the passenger will be searched by Customs agents. A green light means “go ahead.” Customs agents claim that the proportion of all travelers who will be stopped (red light) is0.30, because the light has probability 0.30of showing red on any push of the button. To test this claim, a concerned citizen watches a random sample of 100travelers push the button. Only 20get a red light.

(a) Assume that the Customs agents’ claim is true. Find the probability that the proportion of travelers who get a red light is as small as or smaller than the result in this sample. Show your work.

(b) Based on your results in (a), do you believe the Customs agents’ claim? Explain.

The Gallup Poll has decided to increase the size of its random sample of voters from about 1500people to about 4000people right before an election. The poll is designed to estimate the proportion of voters who favor a new law banning smoking in public buildings. The effect of this increase is to

(a) reduce the bias of the estimate.

(b) increase the bias of the estimate.

(c) reduce the variability of the estimate.

(d) increase the variability of the estimate.

(e) have no effect since the population size is the same

Run a mile During World War II, able-bodied male undergraduates at the University of Illinois participated in required physical training. Each student ran a timed mile. Their times followed the Normal distribution with mean 7.11minutes and standard deviation 0.74minute. An SRS of 100of these students has mean time x¯=7.15minutes. A second SRS of size100has mean x¯=6.97minutes. After many SRSs, the values of the sample mean x follow the Normal distribution with mean 7.11 minutes and standard deviation0.074minute.

(a) What is the population? Describe the population distribution. (b) Describe the sampling distribution of x. How is it different from the population distribution?

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
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