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Chapter 8: Q 8.54 (page 331)
State True or False. Give Reasons for your answers.
The margin of error can be determined if you know only the length of the confidence interval.
The statement is True.
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Civilian Labor Force. Consider again the problem of estimating the mean age, , of all people in the civilian labor force. In Example on page 328 , we found that a sample size of 2250 is required to have a margin of error of year and a 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 that years.
A confidence interval for a population mean has length .
a. Determine the margin of error.
b. If the sample mean is , obtain the confidence interval.
c. Construct a graph that illustrates your results.
Explain the difference between a point estimate of a parameter and a confidence-interval estimate of a parameter.
Suppose that you take simple 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?
What is a confidence interval estimate of a parameter? Why is such an estimate superior to a point estimate?
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