Each of 166 newly manufactured items is examined and the number of scratches per

Question

Each of 166 newly manufactured items is examined and the number of scratches per item is recorded (the tems are supposed to be free of scratches), yielsing the following data: Nomber of per item 012 34 5 6 7 Observed frequency 18 43 43 33 15 6 53 Let X-the number of scratches on a randomy chosen item, and assume that X has a Posson distribution with paramete (a) Find an unbiased estmator of and compute the estimate for the data. Imnt ex- for x posson, so eo-7i (Round your answer to too decimal places.) (b) What the standard deviation (standard error) of your estnator? Compute the estimated standard error, tAnt 2- for X Poisson.] (Round your answer to three donna' places.) Need Help? Rosut ehe

Explanation / Answer

from above:

a) mean =369/166 = 2.22

b)std deviation=(2.22)1/2 =1.490 ( please try 1.491 if this does not work due to rounding error)

x freq(f) x*f 0 18 0 1 43 43 2 43 86 3 33 99 4 15 60 5 6 30 6 5 30 7 3 21 total 166 369

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