An employee of a bank wants to test the null hypoth-esis that on the average the bank cashes 10 bad checks per day against the alternative that this figure is too small. Ifhe takes a random sample and decides to reject the nullhypothesis if and only if the mean of the sample exceeds12.5, what decision will he make if he gets x = 11.2, andwill it be in error if(a) λ = 11.5; (b) λ = 10.0?Here λ is the mean of the Poisson population beingsampled.

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