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Homework: Week 2 Homework Score: 0 of 6 pts 83.3.43 Heights of women have a bell

ID: 3352960 • Letter: H

Question

Homework: Week 2 Homework Score: 0 of 6 pts 83.3.43 Heights of women have a bell-shaped distribution with a mean of 158 cm and a standard deviation of 6 cm, Using Chebyshev's theorem, what do we know about the percentage of women with heights that are within 3 standard Save 4 of 10 (10 complete) HW Score: 44 17%, 26 5 of 60 pts Question Help deviations of the mean? What are the minimum and maximum heights that are within 3 standard deviations of the mean? At least of women have heights within 3 standard deviations of 158 cm. Round to the nearest percent as needed)

Explanation / Answer

By Chebyshev's theorem, atleast (1 - 1/k2) of the data lies between k standard deviations from the mean.

Here k = 3

Hence,

% of woem have heights between 3 standard deviations of 158 cm

= (1 - 1/9) * 100

= 88.9%