8-8 Following are two confidence interval estimates of the mean ? of the cycles of failure of an automotive door latch mechanism (the test was conducted at an elevated stress level to accelerate failure). 3148.5 ? ? ? 3250.25 3182.40 ? ? ? 3216.35 (a) What is the value of the sample mean cycles to failure? (b) The confidence level for one of theses CIs is 95% and for the other is 99%. Both CIs are calculated from the same sample data. Whis is the 95% CI? Explain.
Added by Lawrence J.
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For the first interval, the mean is (3148.5 + 3250.25) / 2 = 3199.375. For the second interval, the mean is (3182.40 + 3216.35) / 2 = 3199.375. So, the sample mean cycles to failure is 3199.375. Show more…
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