Assignment:
The amount of time a doctor spends in an appointment with a new patient has a mean μ=30 minutes and standard deviation σ= 12 minutes. The distribution of times is not normal.
(a) Suppose a sample of 5 new patient appointments is selected. What can you say about the sampling distribution of the sample mean?
(b) Suppose a sample of 36 new patient appointment meetings is selected. What is the probability that the sample mean is at least 35 minutes?
(c) Explain why it is possible to determine the probability in part (b). Hint: What theorem allows you to do so?
Provide complete and step by step solution for the question and show calculations and use formulas.