For this problem, carry at least four digits after the decimal in
your calculations. Answers may vary slightly due to rounding.

In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 24 out of 860 fish died when caught and released using barbless hooks on flies or lures. All hooks were removed from the fish. (a) Let p represent the proportion of all pike and trout that die (i.e., p is the mortality rate) when caught and released using barbless hooks. Find a point estimate for p. (Round your answer to four decimal places.)

Find a 99% confidence interval for p. (Round your answers to three decimal places
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Over the past several months, an adult patient has been treated for
tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient’s total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution.
9.3 9.6 10.1 8.5 9.4 9.8 10.0 9.9 11.2 12.1

(a) Use a calculator with mean and sample standard deviation keys to find the sample mean reading x and the sample standard deviation s. (Round your answers to two decimal places.)
x =
s =
(b) Find a 99.9% confidence interval for the population mean of total calcium in this patient’s blood. (Round your answer to two decimal places.)
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