13. A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different group

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13. A researcher is interested in exploring the relationshipbetween calcium intake and weight loss. Two different groups, eachwith 25 dieters, are chosen for the study. Group A is required tofollow a specific diet and exercise regimen, and also take a 500-mgsupplement of calcium each day. Group B is required to follow thesame diet and exercise regimen, but with no supplemental calcium.After six months on the program, the members of Group A had lost amean of 12.8 pounds with a standard deviation of 2.3 pounds. Themembers of Group B had lost a mean of 10.7 pounds with a standarddeviation of 2.0 pounds during the same time period. Assume thatthe population variances are not the same. Create and interpret a90% confidence interval to estimate the true difference between themean amounts of weight lost by dieters who supplement with calciumand those who do not.