Simulation

Week 12: November 10

MATH 317/ELMA 517 ~ Probability and Statistics for Teachers ~ Fall 2003

Class meeting schedule and topics

Monday, November 10 ~	Simulation
Monday, November 17 ~	Two-way frequency tables
Monday, November 24 ~	Chi-square tests and graduate student presentations

Homework Assignments

11. Due Monday, November 17

    Required work

    1. Read Book 2 Investigation 3 "Thumb Thing in the Distance"
       and Book 2 Investigation 4 "Predictable Pairs"

    2. Simulate the dice game "Hog."
       1. Roll from 1 to 10 dice a total of ten times each, and record the score resulting from each roll.

       2. Compute the average score per number of dice rolled.

       3. Construct two scatterplots of the individual and average scores against the number of dice rolled.

       4. E-mail your individual and average scores to me (tshort@iup.edu) by 12:00 Noon Monday, November 17.

       5. After examining your individual and average rolls, write a paragraph explaining which number of dice produces the highest expected or average score. Refer to specific evidence in your data to support your position.

    Optional work

    • Repeat part (b) above for a different game. You may use a game you make up or an existing game.

    • Try to compute the true expected score for each number of dice rolled in Hog. Compare the true expected scores to the average scores you obtained by simulating.

12. Due Monday, November 24

    Required work

    1. Examine the "Age Discrimination" data that appeared on the Midsemester Exam (or see the Web site: http://www.math.iup.edu/~tshort/handouts/age_discrimination.html).
       1. Create a two-by-two table of counts that represents the numbers of employees who were 40 years old and older and those under 40 years old broken out by those terminated and those retained.

       2. Compute the proportion of employees 40 years old and older who were terminated.

       3. Compute the proportion of employees under 40 years old who were terminated.

       4. Write a paragraph summary about whether you think age discrimination occurred or not. Please refer to specific statistical evidence. You may use both the new evidence from this assignment and the results of your analysis on the Midsemester Exam if you wish.

    Optional work

    • Repeat part (a) for a different two-by-two table of counts.