(Answered) Would you use the Z table or t table

Statistics

Problem: Assume that serum cholesterol levels are normally distributed. We are given that the mean serum cholesterol level of U.S. males aged 20-74 is 211 mg/dL, and that the standard deviation (σ) of that population is 46 mg/dL. You randomly select 16 individuals from that population. Provide your rationale and any supporting data.

Required:

1. Would you use the Z table or t table? Why?

2. What is the probability that an individual of the 16 selected has a cholesterol level greater than 280 mg/dL?

3. What is the probability that a sample mean from a group of 16 has a cholesterol level greater than 280 mg/dL?

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