The probability that they have a mean height greater than 63.0 inches will be 0.9918
Step-by-step explanation
The heights of adult Caucasian women have a mean of 63.6 inches and a standard deviation of 2.5 inches. That means,
and

As 100 women are randomly selected, so the sample size
= 100
The formula for finding the z-score is......

So, the z-score of a mean height for 63.0 inches will be......

According to the normal distribution table,

So,

Thus, the probability that they have a mean height greater than 63.0 inches will be 0.9918