Answer to Question #104678 in Statistics and Probability for ps

Question

a) The mean weekly sales of soap bars in departmental stores was 146.3 bars per store.
After an advertising campaign the mean weekly sales in 22 stores for a typical week increased to 153.7 and showed a standard deviation of 17.2. Was the advertising campaign successful?
b) i) Find the maximum likelihood estimate for the parameter λ of a Poisson
distribution on the basis of a sample of size n. Also find its variance.
ii) Show that the sample mean ,x is sufficient for estimating the parameter λ of the Poisson distribution.

Answer 1

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