John spent some time observing behavior at the craps table I
John spent some time observing behavior at the craps table. In craps, the players roll two dice simulaneously (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.
A. John postulates that these dice are not fair. Report your Hypothesis
B. Copy the results of a test of wether he is correct at the .05 level
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?
| 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 |
Solution
