Question
Test the following for randomness; do the following “dice” (actually graphing calculator randomly generated integers) seem...
Test the following for randomness; do the following “dice” (actually graphing calculator randomly generated integers) seem fair?
a) a D6 dice:
die roll
| 1 | 2 | 3 | 4 | 5 | 6 |
| 18 | 15 | 17 | 13 | 15 | 22 |
frequency
Homework Answers
Answer #1
H0: Null Hypothesis: The dice is fair
HA: Alternative Hypothesis: The dice is not fair
Assuming H0, the Expected Frequency of each face = 100/6 = 16.6667
| O | E | (O - E)2/E |
| 18 | 16.6667 | 0.1067 |
| 15 | 16.6667 | 0.1667 |
| 17 | 16.6667 | 0.0067 |
| 13 | 16.6667 | 0.8067 |
| 15 | 16.6667 | 0.1667 |
| 22 | 16.6667 | 1.7066 |
Total = 
|
2.9601 |
ndf = 6 - 1= 5
Take 
= 0.05
From Table, critical value of
= 11.0705
Since the calculated value of
= 2.9601 is less than critical value of
= 11.0705, the difference is not significant. Fail to reject null
hypothesis.
Conclusion:
The data support the claim that the dice is fair.
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