Question

1) A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 23 subjects had a mean wake time of 103.0 min. After treatment, the 23 subjects had a mean wake time of 75.6 min and a standard deviation of 23.4 min. Assume that the 23 sample values appear to be from a normally distributed population. Construct a 99% confidence interval estimate of the mean wake time for a population with drug treatment. Assume that all the requirements are satisfied.

(a) Find the best point estimate of the population mean.

(b)Identify the value of the margin of error E. (Show work using the appropriate formula. Round to one decimal place as needed.)

(c) Construct the confidence interval using the answers from part (a) and part (b).

(d) Write a statement that correctly interprets the confidence interval.

(e) What does the result suggest about the mean wake time of 103.0 min before the treatment? Does the drug appear to be effective? Explain.

Answer 1