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The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset Vaia Explanations$ Math

6th Edition · 837 pages

ISBN: 9781319113339

Chapter 7: Q. 29 (page 457)

Increasing the sample size of an opinion poll will reduce the
a. bias of the estimates made from the data collected in the poll.
b. variability of the estimates made from the data collected in the poll.
c. effect of nonresponse on the poll.
d. variability of opinions in the sample.
e. variability of opinions in the population.

Short Answer

Expert verified

The correct answer is (b) variability of the estimates made from the data collected in the poll.

Step by step solution

01

Given Information

We have to find what will be the sample size of an opinion poll reduce

02

Explanation

A sample size tends to impact the accuracy of the gauges and control of the ponder. With the increment within the test estimate of an supposition survey there's a diminish within the implies of the standard deviation. This comes about within the reduction of the changeability of the gauges which is made from the information collected within the survey. Huge tests will have little edge of blunder.

So the correct answer is (b) variability of the estimates made from the data collected in the poll.

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Most popular questions from this chapter

Suppose that you have torn a tendon and are facing surgery to repair it. The orthopedic surgeon explains the risks to you. Infection occurs in $3 %$ of such operations, the repair fails in $14 %$ , and both infection and failure occur together $1 %$ of the time. What is the probability that the operation is successful for someone who has an operation that is free from infection?

a. 0.8342

b. 0.8400

c. 0.8600

d. 0.8660

e. 0.9900

Airline passengers get heavier In response to the increasing weight of airline passengers, the Federal Aviation Administration (FAA) told airlines to assume that passengers average 190 pounds in the summer, including clothes and carry-on baggage. But passengers vary, and the FAA did not specify a standard deviation. A reasonable standard deviation is 35 pounds. A commuter plane carries 30 passengers. Find the probability that the total weight of 30 randomly selected passengers exceeds $6000$ pounds.

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 of $300$ children from one state and finds that $p^{\land} \hat{p} =$ .

a. Find the probability that at least $29 %$ of the sample are from poverty-level households $0.29$ households.

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.

Iced tea On Tuesday, the bottles of Arizona Iced Tea filled in a plant were supposed to contain an average of $20$ ounces of iced tea. Quality control inspectors selected $50$ bottles at random from the day’s production. These bottles contained an average of $19.6$ ounces of iced tea. Identify the population, the parameter, the sample, and the statistic.

$10 %$ Why is it important to check the 10 % condition before calculating probabilities involving localid="1654670795605">x-?

a. To reduce the variability of the sampling distribution of $x^{-} \bar{x}$

b. To ensure that the distribution of $x^{-} \bar{x}$ is approximately Normal

c. To ensure that we can generalize the results to a larger population

d. To ensure that $x^{-} \bar{x}$ will be an unbiased estimator of $μ$

e. To ensure that the observations in the sample are close to independent

See all solutions

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