A warehouse manager collects the following data on order interarrival times (in days) for a certar chemical product. Interarrival Times: 1.793 0.561 1.877 2.339 6.292 4.032 0.2190.891 7.200 0.404 1.559 7.487 12.785 2.167 2.999 0.552 1.364 0.532 2.336 6.636

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A warehouse manager collects the following data on order interarrival times (in days) for a certain
chemical product.
Interarrival Times: 1.793 0.561 1.877 2.339 6.292 4.032 0.2190.891 7.200 0.404
1.559 7.487 12.785 2.167 2.999 0.552 1.364 0.532 2.336 6.636
He believes that that the interarrival times come from an exponential distribution.
(a) Using method of moments estimate the interarrival rate X.
(b) Perform a x²-test with five equi-probable intervals and significance level a = 0.10 to assess the
goodness-of-fit of the exponential distribution with the estimated rate A (from part (a)) to the
interarrival time data.
Transcribed Image Text:A warehouse manager collects the following data on order interarrival times (in days) for a certain chemical product. Interarrival Times: 1.793 0.561 1.877 2.339 6.292 4.032 0.2190.891 7.200 0.404 1.559 7.487 12.785 2.167 2.999 0.552 1.364 0.532 2.336 6.636 He believes that that the interarrival times come from an exponential distribution. (a) Using method of moments estimate the interarrival rate X. (b) Perform a x²-test with five equi-probable intervals and significance level a = 0.10 to assess the goodness-of-fit of the exponential distribution with the estimated rate A (from part (a)) to the interarrival time data.
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