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Chapter 8: Q 8.4. (page 319)

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."

Short Answer

Expert verified

The requires expression is:Confidenceinterval=Pointofestimate±Marginoferror.

Step by step solution

01

Given information

The relation between confidence interval, point of estimate, and margin of error.

02

Explanation

The margin of error means the half-length of the confidence interval is term as the margin of error.

We know that 100(1-α)%of confidence interval contains the population mean(μ).

Since the point of the estimate is near to the population mean,

Therefore the value of the population parameter can be obtained with the point of estimate and the margin of error.

Therefore we can express the relation as:

Confidenceinterval=Pointofestimmate±Marginoferror.

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Most popular questions from this chapter

Must the variable under consideration be normally distributed for you to use the z-interval procedure or t-interval procedure? Explain your answer.

Explain the effect on the margin of error and hence the effect on the accuracy of estimating a population mean by a sample mean.

Increasing the confidence level while keeping same sample size.

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.

Digital Viewing Times. Refer to Exercise 8.130

a. Find and interpret a 90%lower confidence bound for last year's mean time spent per day with digital media by American adults.

b. Compare your one-sided confidence interval in part (a) to the (two-sided) confidence interval found in Exercise 8.130.

A simple random sample is taken from a population and yields the following data for a variable of the population:

Find a point estimate for the population mean (i.e., the mean of the variable).
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