A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with26dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a500

-mg 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, the members of Group A had lost a mean of10.4 pounds with a standard deviation of2.6 pounds. The members of Group B had lost a mean of11.7 pounds with a standard deviation of2.8 pounds during the same time period. Assume that the population variances are not the same. Construct a99% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a500 -mg supplement of calcium each day, and let Population 2 be the amount of weight lost by Group B, who did not take a calcium supplement. Round the endpoints of the interval to one decimal place, if necessary.