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.

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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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 auto accidents per day with a variance of 0.0025 . The actuaries of the company claim that the variance of the number of accidents per day is no longer equal to 0.0025 . Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test. H0:H1: