A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 2121 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500500-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 of 14.314.3 pounds with a standard deviation of 1.21.2 pounds. The members of Group B had lost a mean of 12.112.1 pounds with a standard deviation of 2.42.4 pounds during the same time period. Assume that the population variances are not the same. Construct a 99%99% 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 a 500500-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.
A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 2121 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500500-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 of 14.314.3 pounds with a standard deviation of 1.21.2 pounds. The members of Group B had lost a mean of 12.112.1 pounds with a standard deviation of 2.42.4 pounds during the same time period. Assume that the population variances are not the same. Construct a 99%99% 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 a 500500-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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 2121 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500500-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 of 14.314.3 pounds with a standard deviation of 1.21.2 pounds. The members of Group B had lost a mean of 12.112.1 pounds with a standard deviation of 2.42.4 pounds during the same time period. Assume that the population variances are not the same. Construct a 99%99% 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 a 500500-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.
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