Assume that women's heights are normally distributed with a mean given by mu equals 62.3 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 63 in.(b) if 47 women are randomly selected, find the probability that they have a mean height less than 63 in.

a)  0.6141

b) 0.9772

Step-by-step explanation:

Given : Mean :

Standard deviation :

The formula for z -score :

a) Sample size = 1

For x= 63 in. ,

The p-value =

Thus, the probability is approximately = 0.6141

b)  Sample size = 47

For x= 63 ,

The p-value =

Thus , the probability that they have a mean height less than 63 in =0.9772.

answer: true

step-by-step explanation:

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