You suspect that your Toronto customer support team differs in the time to serve each customer from 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 (4.1 for Toronto, 3.8 for Montreal). For this question, perform your calculation using the formulasdo not use the Analysis Toolpak tools.

Part a)

Calculate a 99% confidence interval for the difference between population means.

Part b)

You suspect that the population mean for Toronto is at least 4 greater 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.

TORONTO. MONTREAL

34	23
44	26
40	31
28	34
41	37
40	36
29	26
39	36
40	32
36	23
44	27
25	25
43	21
35	35
40	34
28	37
33	32
29	21
44	29
32	24
40	21
42	34
41	35
33	37
44	37
43	25
41	23
34	33
27	35
38	30
25	32
33	24
43	24
43	35
26	32
24	22
31	36
30	25
38	33
27	26
44	29
26	27
43	25
24	35
33	26
32	24
26	31
35	32
25	34
40	28
25	33
37	33
35	28
43	32
35	29
36	29
24	29
33
26
37
28
35