Assume that the heights in Exercise 31 are normally distributed. Are you more likely to randomly select 1 woman with a height less than 70 inches or are you more likely to select a sample of 20 women with a mean height less than 70 inches? Explain.

Exercise 31

The mean height of women in the United States (ages 20–29) is 64.2 inches. A random sample of 60 women in this age group is selected. What is the probability that the mean height for the sample is greater than 66 inches? Assume σ = 2.9 inches.