Please show ALL work.

1) Twelve supermarkets were chosen at random in Philadelphia by the manufacturer of a new sports drink. Management estimates that it must sell an average of 1,000 cases of the new sports drink each week at each location to ensure the new products nationwide success. This sample test will determine if the manufacturer should launch the product nationwide. The results of the sample test are as follows:

Store	Cases	Store	Cases
1	870	7	1305
2	910	8	890
3	1050	9	1250
4	1200	10	1100
5	860	11	950
6	1400	12	1260

Assume that Alpha () = .05

1. a) Calculate the mean: _________________________________________
2. b) Calculate the standard deviation: ______________________________
3. c) Calculate the variance: _______________________________________
4. d) Calculate the standard error of the mean: ________________________
5. e) Calculate the z-statistic: _______________________________________
6. f) Should the manufacturer launch the new sports drink nationwide? Why or why not?