According to a fast-food manager, the average number of customers between 8am to 11amis 10, with a variance of two. His friend from another outlet does not believe that the variance is two. He counts the number of customers in 15 other outlets and obtained the data as in Table 2.

a) Explain which statistic distribution should be used in order to test whether the variance is different from two. Construct a complete hypothesis test to test the claim in (a) at a = 0.05. Based on your answer in (b) state a brief summary of the variance number of-customers.