Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 04 Nov 2017 My Price 5.00

exponential distribution

Let X1, X2,…, Xn be a random sample from an exponential distribution with parameter l. Then it can be shown that 2loXi has a chi-squared distribution with n 5 2n (by first showing that 2lXi has a chi-squared distribution with v = 2).

a. Use this fact to obtain a test statistic for testing H0: µ = µ0. Then explain how you would determine the P-value when the alternative hypothesis is Ha: µ > µ0.

b. Suppose that ten identical components, each having exponentially distributed time until failure, are tested. The resulting failure times are

95     16    11    3    42    71    225    64    87    123

Use the test procedure of part (a) to decide whether the data strongly suggests that the true average lifetime is less than the previously claimed value of 75.

 

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Maurice Tutor
(5)
Status NEW Posted 04 Nov 2017 07:11 PM My Price 5.00

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