The National Health Statistics Reports dated Oct. 22, 2008,stated that for a sample size
Chapter 5, Problem 48(choose chapter or problem)
The National Health Statistics Reports dated Oct. 22, 2008,stated that for a sample size of 277 18-year-old Americanmales, the sample mean waist circumference was 86.3 cm. Asomewhat complicated method was used to estimate variouspopulation percentiles, resulting in the following values:5th 10th 25th 50th 75th 90th 95th69.6 70.9 75.2 81.3 95.4 107.1 116.4a. Is it plausible that the waist size distribution is atleast approximately normal? Explain your reasoning.If your answer is no, conjecture the shape of thepopulation distribution.b. Suppose that the population mean waist size is85 cm and that the population standard deviation is15 cm. How likely is it that a random sample of 277individuals will result in a sample mean waist sizeof at least 86.3 cm?c. Referring back to (b), suppose now that the populationmean waist size in 82 cm. Now what is the(approximate) probability that the sample meanwill be at least 86.3 cm? In light of this calculation,do you think that 82 cm is a reasonable valuefor m?
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