The study cited in Exercise 5.3.1 reported an estimated mean serum cholesterol level of 183 for women

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The study cited in Exercise 5.3.1 reported an estimated mean serum cholesterol level of 183 for women aged 20–29 years. The estimated standard deviation was approximately 37. Use these estimates as the mean and standard deviation for the U.S. population. If a simple random sample of size 60 is drawn from this population, find the probability that the sample mean serum cholesterol level will be:

(a) Between 170 and 195

(b) Below 175

(c) Greater than 190

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