Question: Using graph(s), shading, and appropriate probability distribution table, and assuming that the heights of women are normally distributed, with a mean of 65.0 inches and

  • Using graph(s), shading, and appropriate probability distribution table, and assuming that the heights of women are normally distributed, with a mean of 65.0 inches and a standard deviation of 2.5 inches, and assuming that men have heights that are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches,

  • Calculate and write down your height in inches.
  • Determine what percentage of people of your gender would be taller than you are.
  • If someone of your gender is randomly selected what is the probability that the selected person would be shorter than you are?
  • What is the minimum height of a person of your gender to join the Top 15% Tall Club?
  • If 100 people of your gender are randomly selected, determine the probability that their mean height would exceed your height.
  • If 16 people of mixed gender, with a mean height of 67 inches and standard deviation of 2.65 inches are randomly selected from a normally distributed population, construct a 95% confidence interval for the mean of the population.

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