Answer:
Step-by-step explanation:
To determine the percentile of a woman with a foot length of 20.04 centimeters in Japan, we can use the Z-score formula:
Z=x-y/o
where:
-x centimeters (foot length of the woman)
- y centimeters (average foot length for adult women in Japan)
-o centimeters (standard deviation)
Calculating the Z-score:
Z=20.04-22.8/0.92
=(-2.76)/0.92
=(-3)
With a Z-score of -3, we can find the percentile using a standard normal distribution table or calculator. A Z-score of -3 corresponds to approximately the 0.13th percentile.
Therefore, a woman with a foot length of 20.04 centimeters would be in the 0.13th percentile based on the given data for adult women in Japan.