Calculate the z-score of your height and gender, showing the calculation itself.

To optimize your score on the first two elements of each chapter discussion, please ensure that your very first post (before editing or deleting) answers and addresses all of the prompts from these instructions with as much accuracy, completeness, and precision as possible.
For Chapter 6, in the United States, assume adult heights have a normal distribution. 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 63.7 inches and a standard deviation of 2.7 inches.
State your height. (I am 71 inches – 5’11)
Calculate the z-score of your height and gender, showing the calculation itself.
Find the height of a person of your gender who would be at the 38th percentile by sketching the distribution, labeling and shading all relevant regions on the sketch (just like all of the example problems), by choosing which calculator function (no tables) should be use based on the sketch, and by choosing what the calculator inputs should be based mostly on the sketch. Be sure to attach the sketch to your post and include detailed calculator steps.
Find the percentage of people of your gender would be within 2 inches of your height by again sketching the distribution, labeling and shading all relevant regions for both the distribution and for the percentage of people within 2″ of your height, by choosing which calculator function should be used based on the sketch, and by choosing what the calculator inputs should be based mostly on the sketch. Be sure to attach this sketch, too, 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.)