A.P. STATISTICSLESSON 13 -1

(DAY 1)

CONDUCTING INFERENCE BY SIMULATION

ESSENTIIAL QUESTION:

How can the graphing calculator be used to simulate problems involving chi-square ?

Objectives:

• To set up simulations to solve problems.

• To use the calculator to find P-values for chi-square.

Example 13.3 Page 739The Graying of America (continued…)

When examining the data take notice that the biggest difference happens to be the 0 to 24 age bracket.

Program POP

TI-83

TI-89

FINDING X2 P-VALUE FROM CALCULATOR

• 2ND, List, math, sum( L2 ) to get sum from L2. Go to 2nd , Dist, X2cdf ( sum, 1e99, df )

• 2ND, List, math, sum( L2 ) to get sum from L2. Go to 2nd , Dist, Draw, X2shade (sum, 1e99, df )

Final Note

Remember that the X2 statistic will show much greater variability with smaller sample sizes. For this reason, if you simulate a sampling problem like this with a calculator, you should use as large a sample size as you can without getting a memory overflow error message.