Each of 166 newly manufactured items is examined and the number of scratches per item is recorded (the items are supposed to be free of scratches), yielding the following data:
Number of | |||||||||||||||||
scratches | |||||||||||||||||
per item | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||||||||
Observed | |||||||||||||||||
frequency | 16 | 36 | 42 | 37 | 19 | 9 | 5 | 2 |
Let X = the number of scratches on a randomly chosen item, and assume that X has a Poisson distribution with parameter μ.
(a) Find an unbiased estimator of μ and compute the estimate for the data. [Hint: E(X) = μ for X Poisson, so
E(X) = ?]
(Round your answer to two decimal places.)
(b) What is the standard deviation (standard error) of your
estimator? Compute the estimated standard error. [Hint:
σ_{X}^{2} = μ for
X Poisson.] (Round your answer to three decimal
places.)
Each of 166 newly manufactured items is examined and the number of scratches per item is...
Each of 161 newly manufactured items is examined and the number of scratches per item is recorded (the items are supposed to be free of scratches), yielding the following data: Number of scratches per item Observed frequency 12 44 35 33 12 12 8 5 0 123 4 5 6 7 Let X the number of scratches on a randomly chosen item, and assume that X has a Poisson distribution with parameter μ (a) Find an unbiased estimator of μ...
Each of 163 newly manufactured items is examined and the number of scratches per item is recorded (the items are supposed to be free of scratches), yielding the following data: Number of 0 1 23 4 56 7 per item Observed frequency 19 37 3729 20 13 5 3 Let X-the number of scratches on a randomly chosen item, and assume that X has a Poisson distribution with parameter μ. a Find an unbiased estimator of μ and compute the...
Each of 169 newly manufactured items is examined and the number of scratches per item is recorded (the items are supposed to be free of scratches), yielding the following data: Number of scratches per item 0 1 2 3 4 5 6 7 Observed frequency 24 31 48 31 14 12 4 5 Let X = the number of scratches on a randomly chosen item, and assume that X has a Poisson distribution with parameter ?. (a) Find an unbiased...
Each of 157 newly manufactured items is examined and the number of scratches per item is recorded the items are supposed to be free of scratches), yielding the following data: Number of scratches per item 0 1 2 3 4 5 6 7 Observed frequency 16 38 35 37 17 7 6 1 Let X = the number of scratches on a randomly chosen item, and assume that X has a Poisson distribution with parameter u. (a) Find an unbiased...
5. -/2 points DevoreStat9 6.E.009. My Notes Ask Your Teacher Each of 167 newly manufactured items is examined and the number of scratches per item is recorded (the items are supposed to be free of scratches), yielding the following data: Number of scratches per item 0 1 2 3 4 5 6 7 Observed frequency 17 32 41 31 20 14 7 5 Let X = the number of scratches on a randomly chosen item, and assume that X has...
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