Suppose you have a population of women aged 20-29 with a population mean serum cholesterol of 183 and a population standard deviation serum cholesterol of 37.
a) Identify the sampling distribution of the sample mean for a sample of size 100.
b) Did you apply the central limit theorem? Explain.
Find the probability that the sample mean serum cholesterol for a sample of 100 from the
population is:
c) less than 189
d) greater than 189
e) between 180 and 189