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Coursepack, p. MAT 133: 8.1 WS 2, p.2 2. The mean serum cholesterol level of a large population of overweight children is 230 milligrams per deciliter (mg/dl), and the standard deviation is 16.3 mg/dl. A random, independent sample of 35 overweight children is selected. (For each part - Shade and label appropriately; Give 4 decimal places and P(X) notation from StatCrunch, circling the answer) a. We assume the distribution of sample means is normally distributed because b. What is the mean of the sampling distribution of the sample means c. Compute the standard error of the sampling distribution of the sample means d. Find the probability that the sample mean is between 224 and 228 mg/dl. e. Find the probability that the sample mean is less than 225 mg/dl. Would this be unusual? Explain using probability. f. Find the 3rd quartile of the sample means. (Give units)