List the five heights in inches and tell us the gender of the sample

For Chapter 7, in the United States, assume adult heights are normally distributed. Men’s heights have a mean of 69.1 inches and a standard deviation of 2.9 inches, while female’s heights have a mean of 63.7 inches and a standard deviation of 2.7 inches. Randomly sample five adults of your gender and ask each adult to state his or her height. In your post, be sure to:
-List the five heights in inches and tell us the gender of the sample,
-Compute the mean and standard deviation of the sampling distribution,
-Find the z-score (notice the singular) for your sample mean height of your five and show the calculation, and
-Find the percentile for your sample mean height of your five by sketching the sampling distribution of sample means, by labeling and shading all relevant regions on the sketch (just like all of the example problems), by choosing which calculator function (no tables) to use based on the sketch, and by choosing what calculator inputs should be based mostly on the sketch. Be sure to attach the sketch to your post and include detailed calculator steps.
For all deep dives and projects, rounded final answers should contain at least three significant digits, and numbers used to compute final answers should contain at least four significant digits. (Note that answers that are exact and don’t need to be rounded need not have digits added. This guideline is only for answers that are being rounded.)