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Chapter 8: Q 8.60 (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, population standard deviation, and sample size.

Short Answer

Expert verified

The given statement is True.

Step by step solution

01

Given Information

Margin of error, population standard deviation, and sample size is known to us.

02

Explanation

We know that

Confidence level, za2=En蟽

and

Margin of Error,E=za2蟽n

Hence, confidence level can be calculated if know only the margin of error, population standard deviation and the sample size.

Hence, the given statement is True.

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Most popular questions from this chapter

State True or False. Give Reasons for your answers.

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

For the one-mean t-interval procedure, express the formula for the endpoints of a confidence interval in the form.

Civilian Labor Force. Consider again the problem of estimating the mean age, 渭, 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 smallest margin of error, given that the confidence level is to be kept at 95%. Recall that蟽=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 variable under consideration is very close to being normally distributed, and the sample size is 10.

Explain the difference between a point estimate of a parameter and a confidence-interval estimate of a parameter.
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