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Chapter 8: Q 8.58 (page 331)

State True or False. Give Reasons for your answers.

The confidence level can be determined if you know only the margin of error.

Short Answer

Expert verified

The given statement is False.

Step by step solution

01

Given Information

Margin of Error is known to us.

02

Explanation

Margin of error is obtained if we know nand σ.

So, we cannot calculate Margin of Error if we know confidence level α.

Hence, the statement is False.

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Most popular questions from this chapter

Express the form of most of the confidence intervals that you will encounter in your study of statistics in terms of "point estimate" and "margin of error."

Civilian Labor Force. Consider again the problem of estimating the mean age, μ, of all people in the civilian labor force. In Example 8.7on page 328 , we found that a sample size of 2250 is required to have a margin of error of 0.5year and a 95%confidence level. Suppose that, due to financial constraints, the largest sample size possible is 900 . Determine the greatest confidence level, given that the margin of error is to be kept at half year. Recall thatσ=12.1 years.

Assume that the population standard deviation is known and decide weather use of the z-interval procedure to obtain a confidence interval for the population mean is reasonable. Explain your answers.

The sample data contain outliers, and the sample size is20.

Corporate Farms. The U.S. Census Bureau estimates the mean value of the land and buildings per corporate farm. Those estimates are published in the Census of Agriculture, Suppose that an estimate, x, is obtained and that the margin of error is \(1000. Does this result imply that the true mean. μ, is within \)1000 of the estimate? Explain your answer.

Formula 8.2on page 327provides a method for computing the sample size required to obtain a confidence interval with a specified confidence level and margin of error. The number resulting from the formula should be rounded up to the nearest whole number.

a. Why do we want a whole number?

b. Why do we round up instead of down?
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