A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 26 dieters are chosen for the study. Group A is required to follow a specific diet and exercise regimen and also take a 500mg supplement of calcium each day. Group B is required to follow the same diet and exercise regimen but with no supplemental calcium. After six months on the program, then members of Group A had a lost a mean of 11.9 pounds with a standard deviation of 2.8 pounds. The members of group B had lost a mean of 13.8 pounds with a standard deviation of 1.9 pounds during the same period. Assume that the population variances are not the same m. Construct a 95-% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement calcium and those who do not. Let population 1 be the amount of weight lost by group A who took 500 mg