Question

The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. If Rachel is at the 99th percentile in height for adult women, then her height in inches is closest to?

1) 63.32
2) 64.68
3) 66.32
4) 67.68

Answer 1

Rachel's height in inches at the 99th percentile for adult women is approximately 69.66 inches.

Step-by-step explanation:

To find Rachel's height in inches at the 99th percentile for adult women, we need to determine the z-score corresponding to the 99th percentile and use it to calculate the height.

The z-score for the 99th percentile can be found using the standard normal distribution table or a calculator. For the 99th percentile, the z-score is approximately 2.33.

The formula to calculate the actual height is:

Rachel's height = Mean + (Z-score * Standard Deviation)

Substituting the given values:

Rachel's height = 65 + (2.33 * 2) = 69.66 inches