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The number of times a machine broke down each week was observed over a period of...

The number of times a machine broke down each week was observed over a period of 100 weeks and recorded as shown in the table below. It was found that the average number of breakdowns per week over this period was 2.3. Test the null hypothesis that the population distribution of breakdowns is Poisson. Use significance level alpha α equals =0.10. Number of breakdowns 0 1 2 3 4 5 or More Number of weeks 9 22 35 23 5 6

Determine the null and alternative hypotheses. Choose the correct hypotheses below.

​:

The population distribution of breakdowns is Poisson.

Upper H Subscript Upper AHA​:

The population distribution of breakdowns is not Poisson.

B.

Upper H0​:

The population distribution of breakdowns is normal.

Upper H Subscript Upper AHA​:

The population distribution of breakdowns is Poisson.

C.

Upper H0​:

The population distribution of breakdowns is not Poisson.

Upper H Subscript Upper AHA​:

The population distribution of breakdowns is Poisson.

D.

Upper H0​:

The population distribution of breakdowns is Poisson.

math   Statistics-And-Probability   
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Answer #1

Correct option : A.

H0 : The population distribution of breakdowns is Poisson.

HA : The population distribution of breakdowns is not Poisson.

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