Question

6. The number of items bought by a client of a clothing store follows a Poisson distribution with an unknown parameter A > 0. We have data regarding the shopping lists of 1000 consumers for the year 2016, when the average number of items bought was equal to 1.5 and the variance (unbiased estimator) of the number of items bought was equal to 0.8. We are interested in verifying whether the parameter A increased with respect to 2015, when it was equal to 1 Researcher A wants to verify the hypothesis of lack of changes with respect to 2015 by performing a simple test for the mean, for a significance level of 0.1. The value of the test statistic is equal to.. test is equal to ... TO REJECT the mull (underline the appropriate), which means that the researcher concludes that in 2016 the value of A INCREASED /DID NOT INCREASE (underline the appropriate) ..the critical value of the appropriate so the decision is to REJECT /NO GROUNDS Researcher B verifies the same hypotheses, constructing a 90% confidence interval for the average number of items bought, and decides based on whether the confidence in- terval includes the value of 1 or not. The decision made by this researcher will be THE SAME /DIFFERENT /THE DECISION HAS NOTHING TO DO WITH (underline the appropriate) the decision made by the researcher A (the previous point).

Answer 1

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