Complete thefollowing:
Q1: The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2 inches.
(a) What is the probability that a randomly selected woman is taller than 66 inches?
(b) A random sample of four women is selected. What is the probability that the sample mean height is greater than 66 inches?
(c) What is the probability that the mean height of a random sample of 100 women is greater than 66 inches?
If the population of women's heights is not normally distributed, which, if any, of the questions can you answer? Explain.
Q2: The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2 inches.
(a) What is the probability that a randomly selected woman is taller than 66 inches?
(b) A random sample of four women is selected. What is the probability that the sample mean height is greater than 66 inches?
(c) What is the probability that the mean height of a random sample of 100 women is greater than 66 inches?