Question

4. a) Suppose a population under consideration has a variable that is wellapproximated by a Normal Distribution with the population mean of 95 and a standard deviation of 12.9 (ie. x ~ N(95,12.9)). What is the probability that a value selected at random from the population will exceed 101.1? Include appropriately labeled pictures, diagrams and definitions to support your answer.

b) Suppose a sample of size 115 is selected at random from the population indicated in problem (a). What is the probability that the mean of that sample will exceed 101.1? Make sure you include graphs, formulas, diagrams, and assumptions made in determining your answer.

Answer 1