STATS PROJECT #3

To simulate the tossing of a fair die, use the integer function to produce 480 random numbers between 1 and 6.

1. Print the numbers and produce a histogram with 6 classes which separates the l's, 2's, etc. Label it clearly and appropriately.
2. Find the probability of getting a 1 using your sample space. Is this what you would expect from a fair die? Do the same for the 2's, 3's, 4's, etc. Explain your work.
3. What is the mean of your random data? What is the standard deviation? Have the computer print your answers.
4. What type of distribution is indicated by your histogram? Explain.
5. Using the formulas for mean and standard deviation of this distribution, find those two measures. (Label with the correct symbols.)
6. Compare your values in C. to the values in E. Explain.

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1. Produce and print a histogram with 8 classes, labeled with cutpoints which correspond to the integer z-scores from -3 to 3.
2. Does this resemble a normal distribution? Explain why or why not.
3. Using the information about the Empirical Rule (page 100 of your text), predict how many of your random numbers should be in each of the 8 classes. Show all work.
4. Use the histogram and/or the data to find exactly how many of the random numbers are in each of the 8 classes of the histogram. Show all work.
5. How close are your predicted numbers and the actual numbers? What does this say about the data?
6. Find the mean and standard deviation for your random data. Label using the correct symbols. Is this what you would expect?

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Solution: The downloadable solution consists of 8 pages, 507 words and 5 charts.
Deliverable: Word Document