According to a fast-food manager, the average number of customers between sam to 1dam is 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. Table 2 Outlet Number of Customers 11 2 10 3 9 4 10 5 10 11 11 10 12 10 11 12 13 11 14 10 15 11 a) Explain which statistic distribution should be used in order to test whether the variance is different from two. b) 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. [Total: 20 / 60 marks]A homeowner is interested in the effect that using the air conditioner and washing machine had on the electric bill. He recorded the number of hours the air conditioner and the number of times washing machine were used for 14 days. He also monitored the electric meter for these 14 days, and computed the amount of electricity used each day in kilowatt-hours. Data is shown in Table 3. Table 3 Air Conditioner Washing Machine Electricity Used [hours] [times] [kwh] 1.5 1 35 4.5 2 5.0 56 2.0 17 8.5 3 94 6.0 Lu 79 13.5 93 3.0 56 12.5 94 7.5 W N P 8.0 7.5 65 12.0 1 77 6.0 75 3) Use Microsoft Excel to produce Analysis of Variance table for the multiple linear regression and state the model. bj Construct a complete hypothesis test to test whether the model in (a] is fit at a = 0.05. c) Construct a complete hypothesis test to test whether the regression coefficients, P and A, aresignificantly zero at a = 0.05. dj Based on your answer in (b) and (c) state a brief summary on the linear relationship between electricity used and the two factors