2. Meeker (1987) reports the results of a life test on n = 100 ball bearing tested for 100 million of revolutions. Use the ball bearing life test data given below to answer following: Table: Ball Bearing Failure Times in Million of Revolutions 17.88 28.92 33 41.52 42.13 45.6 48.4 51.84 51.96 54.12 55.56 67.8 68.64 68.64 68.88 84.12 93.12 98.64 a. Compute a nonparametric estimate of the population fraction failing by 95 million cycles. b. Use the conservative (binomial based) interval to compute an approximate 90% confidence interval for population fraction failing by 95 million сycles. Use the normal approximation method to compute an approximate 90% confidence interval for the population fraction failing by 95 million cycles. d. Comparing the intervals from part b and c, what do you conclude about the adequacy of the normal-approximation methods for these data? с.

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