Question

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.15 and a standard deviation of 1.47. Using the empirical rule, what percentage of American women have shoe sizes that are greater than 9.62? Please do not round your answer.

Answer 1

Solution

Step 1

The empirical rule in statistics, also known as the 68 95 99 rule, states that for normal distributions, 68% of observed data points will lie inside one standard deviation of the mean, 95% will fall within two standard deviations, and 99.7% will occur within three standard deviations.

Step 2: