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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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Assume that the population standard deviation is known and decide weather use of the 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.
A confidence interval for a population mean has a margin of error of
a. Determine the length of the confidence interval.
b. If the sample mean is , obtain the confidence interval.
c. Construct a graph that illustrates your results.
Explain the effect on the margin of error and hence the effect on the accuracy of estimating a population mean by a sample mean.
Decreasing the confidence level while keeping the same sample size.
Why do you need to consider the student zed version of to develop a confidence-interval procedure for a population means when the population standard deviation is unknown?
One-Sided One-Mean t-Intervals. Presuming that the assumptions for a one-mean interval are satisfied, we have the following formulas for -level confidence bounds for a population mean :
Interpret the preceding formulas for lower and upper confidence bounds in words.
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