# A Slot machine was tested by playing it a 1197 times.

Chi square distribution question.

Please see attached file.

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# 8 page 638

A Slot machine was tested by playing it 1197 times. When testing the claim that the observed outcomes agree with the expected frequencies, a test statistic of = 8.185 was obtained. There are 10 different categories of outcomes, including no win, win jackpot, win with three bells and so on:

a - Find the critical value assuming that the significant level is 0.05.

The critical value is 16.92

b- What can you conclude about the P-value from table A-4 if you know that the test static is x(x) = 8.185 and there are 10 categories?

That the p-value is somewhere in more than 0.05.

c- State a conclusion about the claim that the observed outcomes agree with the expected frequencies. Does the machine in this case working correctly?

The null hypothesis is not rejected because the sample test statistic value is not greater than the critical value. Therefore, the machine in this case is working correctly.

chi-square distribution

degrees area to ...

#### Solution Summary

A slot machine probability is discussed.