Answer to Question #216838 in Statistics and Probability for clarnkomo

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.

(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 = 0:05.