1. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of 570 potsherds was found, of which 355 were identified as Santa Fe black-on-white.
(a) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. (Round your answer to four decimal places.)
(b) Find a 95% confidence interval for p. (Round your answers to three decimal places.)
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2. Suppose you are told that a 95% confidence interval for the average price of a gallon of regular gasoline in your state is from $3.10 to $4.16. Use the fact that the confidence interval for the mean is in the form x - E to x + E to compute the sample mean and the maximal margin of error E. (Round your answers to two decimal places.)
x = $
E = $
3. Anystate Auto Insurance Company took a random sample of 366 insurance claims paid out during a 1-year period. The average claim paid was $1510. Assume σ = $248.
Find a 0.90 confidence interval for the mean claim payment. (Round your answers to two decimal places.)
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Find a 0.99 confidence interval for the mean claim payment. (Round your answers to two decimal places.)
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