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 (2.9 for Toronto, 4.2 for Montreal). For this question, perform your calculation using the formulasdo not use the Analysis Toolpak tools.

Data:

Toronto	Montreal
45	47
39	49
47	34
45	43
43	51
43	43
41	48
41	41
42	40
45	40
46	37
46	42
46	44
44	41
52	48
41	43
44	43
45	42
43	43
46	39
43	40
45	40
47	50
47	45
46	38
37	43
47	36
40	39
44	39
41	34
39	39
40	44
46	41
44	43
43	39
46	40
42	40
43	46
42	40
52	43
40	44
45	39
45	46
43	34
44	43
39	45
39	48
39	44
45	46
47	37
42	43
44	43
46	43
45	39
44	47
47	45
43	36
47	41
47	39
	39
	43

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

Part b) You suspect that the population mean for Toronto is different from that of 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.

You are given the standard deviations (Toronto- 2.9 and Montreal- 4.2) Find the sample means and n as well.

For part a) calculate a 95% confidence interval for the difference between the means, use point estimate and upper/lower limit for me to better understand.