Question

A report in a research journal states that the average weight loss of people on a certain drug is 16 lbs with a margin of error of ±5 lbs at a confidence level C = 95%. What is the sample mean and the confidence interval estimate for weight loss?

Answer 1

The sample mean for weight loss is 16 lbs. The confidence interval estimate for weight loss is (11, 21) lbs.

Step-by-step explanation:

The sample mean for weight loss can be found using the given information. The average weight loss is stated as 16 lbs with a margin of error of ±5 lbs. The sample mean is the same as the average weight loss, which is 16 lbs.

The confidence interval estimate for weight loss can be calculated using the formula:

Confidence Interval = Sample Mean ± (Margin of Error)

Substituting the values, the confidence interval estimate for weight loss is:

Confidence Interval = 16 ± 5

So, the confidence interval estimate for weight loss is (11, 21) lbs.