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 formulas—do 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 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.

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