Question

Assume that the heights of women are normally distributed with a mean of 63.6 inches and...

Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. a) Find the probability that if an individual woman is randomly selected, her height will be greater than 64 inches. b) Find the probability that 16 randomly selected women will have a mean height greater than 64 inches.

Homework Answers

Answer #1

solution:

mean = inch.

standard deviation = inch

a) we have to find the prbabiity of randoml selected women's height more than 64 inches = P(X > 64)

now calculating the z score

P(X > 64) 1 - value of z to the left of 0.16 = 1 - 0.5636 = 0.4364

b)

if we selected 16 women randomly , probability that their mean height is greater than 64 = P(M > 64)

finding z score

P(M > 64) = 1 - value of z to the left of 0.64 = 1 - 0.7389 = 0.2611

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Assume that​ women's heights are normally distributed with a mean given by μ=63.6 in​, and a...
Assume that​ women's heights are normally distributed with a mean given by μ=63.6 in​, and a standard deviation given by σ=2.7 in. ​(a) If 1 woman is randomly​ selected, find the probability that her height is less than 64 in. ​(b) If 47 women are randomly​ selected, find the probability that they have a mean height less than 64 in.
Assume that women's heights are normally distributed with a mean of 63.6 inches and standard deviation...
Assume that women's heights are normally distributed with a mean of 63.6 inches and standard deviation of 3 inches. If 36 woman are randomly selected, find the probability that they have a mean height between 63.6 and 64.6 inches.
assume that women’s heights are normally distributed with a mean of 63.6 inches and a standard...
assume that women’s heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 90 women are randomly selected, find the probability that they have a mean height between 62.9 inches and 64.0 inces. extensive step by step of how to solve this plus equation explanation
Assume that​ women's heights are normally distributed with a mean given by mu equals 63.6 in​,...
Assume that​ women's heights are normally distributed with a mean given by mu equals 63.6 in​, and a standard deviation given by sigma equals 2.4 in. ​(a) If 1 woman is randomly​ selected, find the probability that her height is less than 64 in. ​(b) If 39 women are randomly​ selected, find the probability that they have a mean height less than 64 in. ​(​a) The probability is approximately nothing. ​(Round to four decimal places as​ needed.) ​(b) The probability...
Assume that women’s heights are normally distributed with a mean given by 63.3 in, and a...
Assume that women’s heights are normally distributed with a mean given by 63.3 in, and a standard deviation given by SD = 2.9 in. (a) if 1 woman is randomly selected, find the probability that her height is between 62.6 in and 63.6 in. (b) If 8 women are randomly selected, find the probability that they have a mean height between 62.6 and 63.6 in.
Assume that the heights of men are normally distributed with a mean of 66.8 inches and...
Assume that the heights of men are normally distributed with a mean of 66.8 inches and a standard deviation of 6.7 inches. If 64 men are randomly selected, find the probability that they have a mean height greater than 67.8 inches.
Assume that the heights of men are normally distributed with a mean of 69.3 inches and...
Assume that the heights of men are normally distributed with a mean of 69.3 inches and a standard deviation of 3.5 inches. If 100 men are randomly selected, find the probability that they have a mean height greater than 70.3 inches.
Assume that​ women's heights are normally distributed with a mean given by mu equals 63.4 in​,...
Assume that​ women's heights are normally distributed with a mean given by mu equals 63.4 in​, and a standard deviation given by sigma equals 2.7 in. ​(a) If 1 woman is randomly​ selected, find the probability that her height is less than 64 in. ​(b) If 36 women are randomly​ selected, find the probability that they have a mean height less than 64 in. ​(​a) The probability is approximately nothing. ​(Round to four decimal places as​ needed.)
Assume that the heights of men are normally distributed with a mean of 68.1 inches and...
Assume that the heights of men are normally distributed with a mean of 68.1 inches and a standard deviation of 2.1 inches. If 36 men are randomly​ selected, find the probability that they have a mean height greater than 69.1 inches. Round to four decimal places.
15. Assume that the heights of men are normally distributed with a mean of 70 inches...
15. Assume that the heights of men are normally distributed with a mean of 70 inches and a standard deviation of 3.5 inches. If 100 men are randomly​ selected, find the probability that they have a mean height greater than 71 inches. A. 9.9671