Hypothesis Testing

table 1 below shows the results from a survey in which randomly chosen individuals following a nutritarian diet were asked about the weight (in pounds) each person lost during one year.Three groups of participants were selected: Group1, Group2, Group3. 45 randomly chosen participants in this nutritarian diet were assigned one of the three groups below (15 persons assigned to each group). The sample weight measurements taken are random, independent of each other, and generated by normally distributed population.

table 1 pounds (lbs) lost in a year
Group 1	Group 2	group 3
5	7	43
10	8	38
13	12.2	21
11	13.2	15.6
12.3	13.4	22.4
15.9	12.6	20.9
30.7	21.4	16.5
43	30.5	23.4
45.3	15.6	30.6
20.6	30.4	19.8
22.3	18.7	24.5
12.4	20.5	15.9
17.6	18.8	40.5
19.8	24.7	25.5
28.3	8.8	10.4

Instructions:

Consider all combinations of two independent group pairs from Table1 above (all possible pairsof groups). For each pair of groups from Table 1, perform: Statistical hypothesis test for equality of the two population variances; Statistical hypothesis test for equality of the two population means; Statistical hypothesis test that the correlation between the two groups in the populationis zero.Use level of significance =0.05.Use and present answer with 4 decimals.

prepare report to the Health Department that indicates your findings.