Problem 7a At a 2 % level of significance, conduct a two-tailed test of hypothesis comparing the equality of two population means defined as follows. The first population mean relates to the mean of those values of Variable 6 that have the attribute represented by the "1" code for Variable 1. The second population mean relates to the mean of those values of Variable 6 that have the attribute represented by the "2" code for Variable 1. Use the pooled variance option when conducting this test. In your answer make sure that you show H0 and Ha, sketch the sampling distribution showing the critical value(s) and the rejection region. Use your calculator to make all the required computations and also state the decision and conclusion in the context of your survey. Show all your work

Response #	Ice Cream (1)	Size (2)	Income (3)	Weight (4)	Visits (5)	Eat (6)
1	1	2	3300	100	7	1
2	2	3	2100	336	6	6
3	1	3	6025	235	10	5
4	2	2	5600	150	6	5
5	1	2	7800	328	24	4
6	2	1	8050	244	3	1
7	2	3	3150	343	14	10
8	1	2	3580	126	25	6
9	1	1	9060	191	18	8
10	1	1	8550	350	3	2
11	2	3	4500	271	20	6
12	1	3	5000	103	17	7
13	2	2	2800	264	23	1
14	1	2	4070	253	12	2
15	2	2	5850	292	10	7
16	1	3	3580	215	5	3
17	1	1	4120	261	12	5
18	1	1	3250	220	16	2
19	1	2	1740	154	16	4
20	2	1	7030	294	22	2