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Chapter 8: Q 8.45 (page 331)

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 sample size while keeping the same confidence level.

Short Answer

Expert verified

Accuracy to estimate the population mean is decreased.

Step by step solution

01

Given Information

It is given that sample size is increased and confidence level is same.

02

Explanation

As sample size is increased and confidence level is same, it results in decreasing margin of error. Therefore the accuracy for estimation of population mean by sample mean is increased.

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Suppose that you take 1000simple random samples from a population and that, for each sample, you obtain a 95% confidence interval for an unknown parameter. Approximately how many of those confidence intervals will contain the value of the unknown parameter?

We provide a sample mean, sample size, and population standard deviation. In each case, perform the following tasks.

a. Find a 95% confidence interval for the popularion mean. (Note: You may want to review Example 8.2, which begins on page 316.)

b. Identify and interpret the margin of error:

c. Express the endpoints of the confidence interval in terms of the point estimate and the margin of error.

where, x^=20,n=36,蟽=3

A confidence interval for a population mean has a length of 162.6.

a. Determine the margin of error.

b. If the sample mean is 643.1, determine the confidence interval.

c. Construct a graph that illustrates your results.
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