Chapter 8: Q 8.58 (page 331)
State True or False. Give Reasons for your answers.
The confidence level can be determined if you know only the margin of error.
The given statement is False.
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Prices of New Mobile Homes. Recall that a simple random sample of 36 new mobile homes yielded the prices, in thousands of dollars, shown in Table on page 315 . We found the mean of those prices to be thousand.
a. Use this information and Procedure on page 322 to find a confidence interval for the mean price of all new mobile homes. Recall that thousand.
b. Compare your confidence interval in part (a) to the one found in Example 8.2(c) on page 317 and explain any discrepancy that you observe.
Keep on Rolling. The Rolling Stones, a rock group formed in the , have toured extensively in support of new albums, Pollstar has collected data on the earnings from the Stones's North American tours. For thirty randomly selected Rolling Stones concerts, the mean gross earnings is million. Assuming a population standard deviation gross earnings of million, obtain a confidence interval for the mean gross earnings of all Rolling Stones concerts. Interpret your answer in words.
Identify the formula for the margin of error for the estimate of a population mean when the population standard deviation is unknown.
Suppose that a simple random sample is taken from a normal population having a standard deviation of for the purpose of obtaining a confidence interval for the mean of the population.
a. If the sample size is , obtain the margin of error.
b. Repeat part (a) for a sample size of
c. Can you guess the margin of error for a sample size of ? Explain your reasoning.
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.
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