Question

Please solve the following problem. I'd really appreciate it if you showed your work. Thanks in advance!

Interpret the given confidence interval. A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particular diet. Subjects were randomly assigned to a treatment group and a control group. The mean blood pressure was determined for each group, and a 90% confidence interval for the difference in the mean between the treatment group and the control group, μt – μc was found to be (-26, -6).

A) We are 90% confident that a randomly selected subject in the treatment group had a blood pressure between 6 and 26 points lower than a randomly selected subject in the control group.

B) We are confident that 90% of all people who follow the particular diet will have a blood pressure between 6 and 26 points lower than people who do not follow the diet.

C) We know with 90% confidence that people who follow the diet have an average blood pressure between 6 and 26 points lower than people who do not follow the diet.

D) We know with 90% confidence that people who follow the diet have an average blood pressure between 6 and 26 points higher than people who do not follow the diet.

E) We know that 90% of all experiments done on the population will show that the average blood pressure for people who follow the diet is between 6 and 26 points lower than the average blood pressure for people who do not follow the diet.

Answer 1

C) We know with 90% confidence that people who follow the diet have an average blood pressure between 6 and 26 points lower than people who do not follow the diet.

Explanation- 90% confidence interval for the difference in the mean between the treatment group and the control group, μt – μc was found to be (-26, -6). This means that the average mean difference of blood pressure between the treatment group and contril group is between this interval and treatment group has lower blood pressure as compared to the control group after having that diet)