1. It is known that in Canada females live longer than males, on average. The Insurance company is trying to estimate the difference for various social groups in different parts of Canada. Two random samples were taken in Ontario, providing life expectancy data at 65 for males and females who worked in Business (see the data file). Use t-test for two means as both distributions are approximately normal. Test the claim that the females live longer than males on average. Provide Excel output.

	Female Life Expectancy	Male Life Expectancy
1	23.75	21.28
2	24.41	21.55
3	23.78	13.85
4	25.42	17.49
5	25.21	14.75
6	23.62	20.57
7	23.53	21.59
8	21.35	22.75
9	23.95	16.95
10	24.70	18.57
11	23.35	13.83
12	23.67	15.89
13	25.22	22.42
14	22.57	14.50
15	22.35	15.73
16	24.79	23.66
17	23.60	25.62
18	24.26	18.82
19	24.35	14.51
20	23.38	20.56
21	22.86	19.06
22	23.15	21.41
23	24.75	20.27
24	22.95	20.81
25	23.67	22.60
26	23.35	24.28
27	23.67	22.04
28	25.22	21.48
29	22.57	23.12
30	22.35	18.23
31		19.70
32		24.90
33		14.50
34		19.30
35		20.10

1. Write the null and alternative hypotheses for this test.

1. Do you think we should use t-test for equal or unequal variances? What is the value of the t-test statistic?

1. What is the associated P-value?

1. State the conclusion using = 0.05. Do it using both P-value and critical value.

1. Please reconsider the previous question at = 0.01. Is your conclusion different? Why?