13. A one-at-a-time sequential life testing scheme is scheduled to run for 300 hours. A total of...

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13. A one-at-a-time sequential life testing scheme is scheduled to run for 300 hours.

A total of 16 items fail within that time. Assuming an exponential life distribution with unknown mean θ (measured in hours):

(a) Determine the maximum likelihood estimate of θ.

b) Test at the .05 level of significance the hypothesis that θ = 20 versus the alternative that θ = 20.

(c) Determine a 95 percent confidence interval for θ.

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