The document describes a government survey that will take a random sample of 100 men aged 20 to 34 to measure their blood cholesterol levels. The population's cholesterol levels follow a normal distribution with a mean of 186 mg/dl and standard deviation of 41 mg/dl. The sampling distribution of the sample mean will also be normal, with the same mean of 186 mg/dl but with a standard deviation of 4.1 mg/dl since the sample size is 100.

1. (11.09) A government sample survey plans to measure the blood cholesterol level of an SRS of
men aged 20 to 34. Suppose that in fact the blood cholesterol level of all men aged 20 to 34
follows the Normal distribution with mean ? = 186 milligrams per deciliter (mg/dl) and standard
deviation ? = 41 mg/dl. Use Table A for the following questions, where necessary. 2.Choose
an SRS of 100 men from this population. What is the sampling distribution of x? (Use the units
of mg/dl.) A.The N(186, 41) distribution. B.The N(186, 0.41) distribution. C.The N(186, 4.1)
distribution. D.The N(1.86, 0.41) distribution. 3.What is the probability that x takes a value
between 183 and 189 mg/dl? This is the probability that x estimates ? within
Solution
sampling distribution has normal mu=186
standard error = 41/sqrt(100) = 4.1