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Question

The number of times a machine broke down each week was observed over a period of 100 weeks and recorded in the accompanying table. It was found that the average number of breakdowns per week over this period was 2.1. Test the null hypothesis that the population distribution of breakdown is Poisson.

$\begin{array}{lcccccc} \hline \text { Number of breakdowns } & 0 & 1 & 2 & 3 & 4 & 5 \text { or more } \\ \hline \text { Number of weeks } & 10 & 24 & 32 & 23 & 6 & 5 \\ \hline \end{array}$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 8Null hypothesis is: $H_0$- population distribution of breakdown is Poisson.

It's given that mean of the number of breakdowns is:

$\lambda=2.1$

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