A random sample of clients at a weight loss center were given a dietary supplement to see if it would promote weight loss. The center reported that the 100 clients lost an average of 48 pounds, and that a $95 \%$ confidence interval for the mean weight loss this supplement produced has a margin of error of $\pm 7$ pounds.
A) $95 \%$ of the people who use this supplement will lose between 41 and 55 pounds.
B) The average weight loss of clients who take this supplement will be between 41 and 55 pounds.
C) $95 \%$ of the clients in the study lost between 41 and 55 pounds.
D) We are $95 \%$ sure that the average weight loss among the clients in this study was between 41 and 55 pounds.
E) We are $95 \%$ confident that the mean weight loss produced by the supplement in weight loss center clients is between 41 and 55 pounds.

Question

Quizplus · Accepted Answer

A confidence interval provides an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data. In this case, the confidence interval is used to estimate the mean weight loss produced by the supplement in the population of weight loss center clients, not the weight loss of any specific individual or the certainty of the sample's average weight loss itself.

A Random Sample of Clients at a Weight Loss Center 95%95 \%95%

A Random Sample of Clients at a Weight Loss Center $95 \%$