Answer:
0.15 % of American women have a shoe size greater than 12.6
Explanation:
*See the attached photo.
The percentage of American women that have shoe sizes that are at least 12.6 is; 0.0015
We are given;
Mean; x' = 8.04
Standard deviation; σ = 1.52
Using the empirical rule, we can have the data either 1, 2 or 3 standard deviations from the mean.
Thus;
At 1 standard deviation from mean, we have;
8.04 ± 1(1.52)
⇒ (6.52, 8.56)
At 2 standard deviations from the mean, we have;
8.04 ± 2(1.52)
⇒ (5, 11.08)
At 3 standard deviations from the mean, we have;
8.04 ± 3(1.52)
⇒ (3.48, 12.6)
We can see that the one with at least 12,6 is 3 standard deviations from the mean which from empirical rule is 99.7%
Thus;
percentage of American women have shoe sizes that are at least 12.6 = 100% - 99.7% - 0.15%
P(x ≥ 12.6) = 0.15% = 0.0015
Read more about the empirical rule at; https://brainly.com/question/10093236
