Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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 :

fatemasultana

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.

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.