SOLUTION: 1)A six-sided die is rolled 30 times and the numbers 1 through 6 appear as shown in the following frequency distribution. At the .10 significance level, can we conclude that the d

Algebra ->  Probability-and-statistics -> SOLUTION: 1)A six-sided die is rolled 30 times and the numbers 1 through 6 appear as shown in the following frequency distribution. At the .10 significance level, can we conclude that the d      Log On


   

Question 137008: 1)A six-sided die is rolled 30 times and the numbers 1 through 6 appear as shown in the
following frequency distribution. At the .10 significance level, can we conclude that the die
is fair?
Outcome Frequency Outcome Frequency
1 3 4 3
2 6 5 9
3 2 6 7
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A six-sided die is rolled 30 times and the numbers 1 through 6 appear as shown in the
following frequency distribution. At the .10 significance level, can we conclude that the die
is fair?
Outcome Frequency.....Expected
1......... 3.............6
2......... 6.............6
3......... 2.............6
4......... 3.............6
5......... 9.............6
6......... 7.............6
=================================
Run a Chi-Sq Test on columns 2(observed) and 3(expected) to get:
Ch-Sq = 4.156589 and p-value = 0.5258
With
Ho: p1 = p2 = p3 = p4 = p5 = p6
Ha: At least one of the probabilities is different
---------------------------------
Fail to reject Ho because p-value is greater that alpha=5%
The test shows the dice results do not that the dice are biased.
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Cheers,
Stan H.