Question

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.33 and a standard deviation of 1.5. Using
the empirical rule, what percentage of American women have shoe sizes that are no more than 11.33? Please do not round your answer.

Answer 1

"97.5" will be the American women's % having their shoe sizes that are no more than 11.33.

Given values are:

• Mean = 8.33
• Standard deviation = 1.5

Now,

= $8.33 + 2\times 1.5$

= $11.33$ (2 above Standard deviation)

→ The data values are between 8.33 and 11.33,

= $\frac{95}{2}$

= $47.5$ (%)

→ The data value below 11.33,

= $50$ (%)

hence,

→ The percentage of American women will be:

= $50+47.5$

= $97.5$ (%)

Thus the above answer is appropriate.

Learn more about empirical rule here:

brainly.com/question/18529739