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A shoe manufacturer tracks shoe sizes within its market to determine how much of each size of shoe to make. In Japan, the average length for adult women is 22.8 centimeters and the standard deviation is 0.92 centimeters. In what percentile is a woman with a foot length of 20.04 centimeters?

Sagot :

Fatemasultanaidn

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.

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