Question 1

According to an e-hailing operator, the average number of customers between 7am to 10am is 11, with a variance of 3. His friend from another area does not believe that the variance is 3. He counts the number of customers in 12 other areas and obtained the data as in Table 1.

Table 1

Area	Number of Customers
1 2 3 4 5 6 7 8 9 10 11 12	12 11 10 9 8 13 11 10 12 8 6 10

a) Construct a complete hypothesis test to test the friend's claim at = 0.05. b) Based on your answer in (a) state a brief summary of the overall variance number of customers.