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Chapter 8: Q 8.60 (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, population standard deviation, and sample size.
The given statement is True.
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Cottonmouth Litter Size. In the article "The Eastern Cottonmouth (Agkistrodon piscivorus) at the Northern Edge of Its Range" (Journal of Herpetology, Vol. No. pp. ), C. Blem and L. Blem examined the reproductive characteristics of the eastern cottonmouth, a once widely distributed snake whose numbers have decreased recently due to encroachment by humans. A simple random sample of female cottonmouths yielded the following data on the number of young per litter.
a. Use the data to obtain a point estimate for the mean number of young per litter, of all female eastern cottonmouths. (Note:
b. Is your point estimate in part (a) likely to equal exactly? Explain your answer.
Fuel Tank Capacity. Consumer Reports provides information on new automobiles models-including price, mileage ratings, engine size, body size, and indicators of features. A simple random sample of new models yielded the following data on fuel tank capacity, in gallons.
a. Determine a point estimate for the mean fuel tank capacity of all new automobile models. Interpret your answer in words. (Note: gallons.)
b. Determine a confidence interval for the mean fuel tank capacity of all new automobile models. Assume gallons.
c. How would you decide whether fuel tank capacities for new automobile models are approximately normally distributed?
d. Must fuel tank capacities for new automobile models be exactly normally distributed for the confidence interval that you obtained in part (b) to be approximately correct? Explain your answer.
A variable of a population has a normal distribution. Suppose that you want to find a confidence interval for the population mean.
a. If you know the population standard deviation, which procedure would you use?
b. If you do not know the population standard deviation, which procedure would you use?
What is a confidence interval estimate of a parameter? Why is such an estimate superior to a point estimate?
Explain why the margin of error determines the accuracy with which a sample mean estimates a population mean.
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