Question

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.09 and a standard deviation of 1.51. Describe where the largest and smallest 32

Answer 1

The largest and smallest 32% of shoe sizes for American women can be found using z-scores and the standard normal distribution.

Step-by-step explanation:

The largest and smallest 32% of shoe sizes for American women can be described using z-scores and the standard normal distribution.

To find the largest 32%, we need to find the z-score that corresponds to a cumulative probability of 0.68 (100% - 32%). Using a standard normal distribution table or a calculator, we can find that the z-score is approximately 0.44.

To find the smallest 32%, we need to find the z-score that corresponds to a cumulative probability of 0.32. Again, using a standard normal distribution table or a calculator, we can find that the z-score is approximately -0.44.