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Chapter 8: Q 8.122. (page 343)

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

Short Answer

Expert verified

Confidence interval=x炉卤ta2sn

Step by step solution

01

Concept

Formula used: Margin of errorE=ta2sn

02

Explanation

In the form, provide the formula for a confidence interval's endpoints.

Point estimate:

The population mean (渭)is estimated using the sample mean (x炉)

The error margin is:

A margin of error is half the length of the confidence interval. The following is the margin of error formula:E=ta2sn

03

Explanation

The form of a confidence interval's endpoints is,

Confidence interval =Point estimates 卤the margin of error (E)

Confidence interval=x炉卤ta2sn

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Most popular questions from this chapter

When estimating an unknown parameter, what does the margin of error indicate?

What is meant by saying that a statistical procedure is robust?

Suppose that you take500 simple random samples from a population and that, for each sample, you obtain a 90%confidence interval for an unknown parameter. Approximately how many of those confidence intervals will not contain the value of the unknown parameter?

The margin of error is also called the maximum error of the estimate. Explain why.

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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