Question: 7. (24 points) Using graph(s), shading, and appropriate probability distribution table, if the heights of women are normally distributed with a mean of 65.0 inches

7. (24 points) Using graph(s), shading, and appropriate probability distribution table, if the heights of women are normally distributed with a mean of 65.0 inches and a standard deviation of 2.5 inches and the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches, (a) Calculate and write down your height in inches. 73-Male (b) Determine what percentage of people of your gender would be taller than you are. In case your height is \"exactly\" 65 inches or 69 inches, add 1 inch to it and keep working with that new height. (c) If someone of your gender is randomly selected what is the probability that the selected person would be shorter than you are? (d) What is the minimum height of a person of your gender to join the \"Top 12% Tall Club\"? (e) If 6 people of your gender are randomly selected, determine the probability that their mean height would exceed your height. 1 (f) If 25 people of mixed gender, with a mean height of 66.5 inches and standard deviation of 2.65 inches are randomly selected from a normally distributed population, construct a 93% confidence interval for the unknown mean of the population. 2

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