Question: Creating and analyzing a normally distributed population.

1. Make up a population to focus on. You can pick anything you want. For example, you could make your population Cabrillo College students. Homes in California. Cars in the Santa Cruz. What is your population? (choose something other than what I wrote)
2. Pick a characteristic for your population to focus on. For instance, if I picked Cabrillo College students, I could choose to focus on their height. Or if I picked Homes in California, I could choose to focus on square footage. What is the characteristic you choose? (again, pick something other than what I have listed).
3. Imagine you have taken a simple random sample of your population. What is the mean of this simple random sample? (You are not require d to have a sample data. Y ou can make up the mean. It should make sense with your population. For instance, if I were focusing on heights of students, it wouldn’t make sense to choose 100 inches as a mean.) Include proper units on your answer (ie. inches, $, etc.)
4. Choose a standard deviation for your population. What is your standard deviation?
5. Assume your population is normally distributed. Sketch the normal curve for your population. Label the mean and 3 standard deviations on either side.
6. Choose a value somewhere between the 2 ^nd and 3 ^rd standard deviation on your sketch. Find the area of the curve to the right of that number. Show all your work.
7. Explain what the answer from part (f) means. What is it telling you?
8. Find the number that is the 44 ^th percentile. Show your work.

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