Answer to Question #223935 in Statistics and Probability for Sach

Question

Suppose that the number of customers entering a coffee-shop in a day, follows at least

approximately a Poisson distribution with mean 60. By advertising his coffee in a local

newspaper the owner of the shop hopes to increase the number of his customers to

about 62.

(a) Write down the appropriate null and alternative hypothesis. [2]

(b) If the number of customers on 90 randomly selected days averages to 69.4, use

the central limit theorem to test the hypothesis in part (a). Take α = 0.05. [8