You suspect that your Toronto customer support team may take less time to serve each customer on average than your Montreal team. You gathered a sample from each group, included in the Excel file. Assume that you know the standard deviation for each population (2.6 for Toronto, 3.7 for Montreal). For this question, perform your calculation using the formulasdo not use the Analysis Toolpak tools.

Part a) Calculate a 95% confidence interval for the difference between population means.

Part b) You suspect that the population mean Toronto is less than for Montreal. Perform a hypothesis test, using the p-value method, at a 90% confidence level. Show all parts of the hypothesis test, including your hypotheses, identification/calculation of the necessary values, your test-statistic calculation, your p-value calculation, and your conclusion.

excel data :

Toronto

13

20

17

17

13

17

13

10

19

22

19

17

19

16

16

20

17

18

19

19

18

22

22

14

19

16

19

16

17

19

13

17

20

10

12

15

19

17

17

19

14

17

17

12

19

17

20 18

19

16

15

20

15

23

16

15

17

18

12

17

13

19

montreal data

17

20

13

14

22

25

20

25

17

20

28

13

18

23

22

10

19

21

17

20

23

22

24

11

24

22

18

13

21

22

15

14

23

15

15

24

14

18

18

21

21

17

15

21

16

22

15

25

16

25

9

19

13

12

18

23

24