Question

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 22 subjects had a mean wake time of 101.0 min. After treatment, the 22 subjects had a mean wake time of 75.4 min and a standard deviation of 21.6 min. Assume that the 22 sample values appear to be from a normally distributed population and construct a 99% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 101.0 min before the treatment? Does the drug appear to be effective?

Construct the 99% confidence interval estimate of the mean wake time for a population with the treatment.

__min < u < __min (round to one decimal place)

What does the result suggest about the mean wake time of 101.0 min before the treatment? Does the drug appear to be effective?

The confidence lnterval (Does not include, or does include?) the mean wake time of 101.1 min before and after the treatment (are different, or could be the same?) This result suggests that the drug treatment (does not have, of has?) a significant effect.

Answer 1

Solution:

The 99% confidence interval estimate of the mean wake time for a population with the treatment is:

Therefore, the 99% confidence interval estimate of the mean wake time for a population with the treatment is:

min min

What does the result suggest about the mean wake time of 101.0 min before the treatment? Does the drug appear to be effective?

The confidence interval does not include the mean wake time of 101.1 min before and after the treatment are different. This result suggests that drug treatment does have a significant effect.