Question: A sample of 30 electronic circuit components is randomly selected from a production process. The life time, in hours, of each component is precisely measured

A sample of 30 electronic circuit components is randomly selected from a production process. The life time, in hours, of each component is precisely measured by testing it until it fails. The times in hours that it took the component to fail is given below:
268.276 420.559 6.590 78.389 14.123 85.507 216.594 39.892 9.468 83.088
519.682 315.754 139.046 4.522 81.480 209.099 170.128 77.794 115.778 108.640
226.053 443.029 35.662 115.668 5.032 17.357 331.462 184.734 79.502 67.019
Using the Pearson’s chi-square goodness-of-fit test, test the hypothesis that the life times of the components follow an exponential with mean of 200 hours. Use α = 0.05.

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