SOLUTION: Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly​ selected, find the probabi

Algebra.Com
Question 1180162: Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly​ selected, find the probability that they have a mean height greater than 63.0 inches.
A.)0.2881
B.)0.0082
C.)0.8989
D.)0.9918
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Normal Distribution: µ = 63.6 and σ = 2.5
100 women are randomly​ selected:
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
Continuous curve
P(x > 63.0) = P(x ≥ 63.0) = normalcdf(63, 9999, 63.6, 2.5/√100) = .9918
D.)  the correct answer.
Wish You the Best in your Studies.


RELATED QUESTIONS

Assume that women have heights that are normally distributed with a mean of 63.6 inches... (answered by math_tutor2020)
Assume that women have heights that are normally distributed with a mean of 63.6 inches... (answered by Theo)
Assume that women have heights that are normally distributed with a mean of 63.6 inches... (answered by math_tutor2020)
Assume that the heights of women are normally distributed with a mean of 63.6 inches and... (answered by Boreal)
Assume that the heights of women are normally distributed with a mean of 61.8 inches and... (answered by ewatrrr)
Men's heights are normally distributed with a mean of 69.0 inches and a standard... (answered by ikleyn)
Assume that the heights of women are normally distributed with a mean of 63.6 inches and... (answered by Edwin McCravy,stanbon)
Assume that the heights of women are normally distributed with a mean of 62.2 inches and... (answered by Boreal)
Assume that women have heights that are normally distributed with a mean of 63.6 inches... (answered by robertb)