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 populations. Table1: Pounds (lbs) lost in a year Group1 Group2 Group3 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 45.5 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 Tablel above (all possible pairs of 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; D Statistical hypothesis test that the correlation between the two groups in the population is zero. Use level of significance a = 0.05. Use and present answer with 4 decimals. Write a report to the Health Department that indicates your findings