Unformatted text preview: σ 2 . (b) Find the MLE of σ . (c) Discuss how the method of moments estimator of σ might be found. 7. Devore (7e) Text: 7.4 (p. 262) 8. Devore (7e) Text: 7.6 (p. 262) 9. An engineer reports that in a sample of 50 microdrills drilling a lowcarbon alloy steel, the average lifetime (expressed as the number of holes drilled before failure) was 12.68 with a standard deviation of 6.83. (a) Find an approximate 95% conﬁdence interval for the mean lifetime of microdrills under these conditions. (b) Based on the same data, another engineer previously reported an approximate conﬁdence interval of (11.09, 14.27), but neglected to specify the level. What is the level implied by this conﬁdence interval. (c) Find an approximate 99% upper conﬁdence bound for the mean lifetime of microdrills. 10. Devore (7e) Text: 7.32 (p. 276)...
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 Spring '05
 STAFF
 Probability, Standard Deviation, Estimation theory, DeVore

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