Let X 1 , X 2 , , X n be a sample from an exponential distribution

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Let X1, X2, …, Xn be a sample from an exponential distribution with parameter λ. It can be shown that 2λ Σni=1 Xi has a chi-square distribution with 2n degrees of freedom. Use this fact to devise a test statistic and critical region for H0: λ = λversus the three usual alternatives.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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