Dr. Mason spent some time observing behavior at the craps table. In craps, the players roll two dice simultaneously (each one containing the numbers 1,2,3,4,5, or 6 on one of the six sides of the die) in an attempt to get a desirable roll. The following table gives the distribution of the outcomes that John observed.

Dice Total # of times Dice Total # of times Dice Total # of Times

2 19 3 54 4 54

5 75 6 102 7 129

8 119 9 74 10 37

11 33 12 24

A. Dr. Mason postulates that these dice are not fair. Report your Hypotheses

B. Copy the results of a test of whether he is correct at the .05 level. (Note: Cannot use any of the distributions from Part D below)

C. Report your conclusions carefully

D. Which distribution ( binomial, Poisson, normal, chi-square, or F) best fits the sample of data above. [hint: the distribution you pick here should not be the one you chose for the expected frequencies above]. How did you decide?