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Thirty units were placed on test until 20 failures were observed. The failure times in the spreadsheet were obtained in accelerated test hours. a. Find the maximum likelihood estimates of the rate parameter assuming that these data are exponentially distributed. b. Using the parameter in part a, use the basic Pearson goodness-of-fit test to determine if an exponential distribution is indeed a good fit assuming 95% confidence. c. What's the probability that failure in this unit will occur before 65 hours?

Thirty units were placed on test until 20 failures were observed. The failure times in the spreadsheet were obtained in accelerated test hours. a. Find the maximum likelihood estimates of the rate parameter assuming that these data are exponentially distributed. b. Using the parameter in part a, use the basic Pearson goodness-of-fit test to determine if an exponential distribution is indeed a good fit assuming 95% confidence. c. What's the probability that failure in this unit will occur before 65 hours?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 8CR
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50.1 30.4 20.9 87.7 31.1 14.2 96.5 4.6 36.3 2.5 99.1 1.8 42.6 11.5 84.9 84.6 6.2 88.6 32 10.7
Transcribed Image Text:50.1 30.4 20.9 87.7 31.1 14.2 96.5 4.6 36.3 2.5 99.1 1.8 42.6 11.5 84.9 84.6 6.2 88.6 32 10.7
Thirty units were placed on test until 20 failures were observed. The failure times in the spreadsheet were obtained in accelerated test hours. a. Find the maximum likelihood estimates of the rate parameter assuming that these data are exponentially distributed. b. Using the parameter in part a, use the basic Pearson goodness-of-fit test to determine if an exponential distribution is indeed a good fit assuming 95% confidence. c. What's the probability that failure in this unit will occur before 65 hours?
Transcribed Image Text:Thirty units were placed on test until 20 failures were observed. The failure times in the spreadsheet were obtained in accelerated test hours. a. Find the maximum likelihood estimates of the rate parameter assuming that these data are exponentially distributed. b. Using the parameter in part a, use the basic Pearson goodness-of-fit test to determine if an exponential distribution is indeed a good fit assuming 95% confidence. c. What's the probability that failure in this unit will occur before 65 hours?
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