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 137447: 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

The colomn of numbers are vertical rows of 3 and 4 individual columns under each section.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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 Observed....Expected
1.......... 3...........5
2.......... 6...........5
3.......... 2...........5
4.......... 3...........5
5.......... 9...........5
6.......... 7...........5
-----------------------------
Ho: p1=p2=...=p6
Ha: at least one of the proportions is different
------------------
Run a Chi-Sq Test to get:
Test statistic: Chi-Sq = 3.8528...
p-value: 0.5707
Conclusion: Fail to Reject Ho.
The test supports the conclusion that the die is not biased.
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Cheers,
Stan H.