Save Score: 0 of 1 pt 6 of 10 (6 complete) HW Score: 35.33%, 3.53 of 10 pts X72.
ID: 3055502 • Letter: S
Question
Save Score: 0 of 1 pt 6 of 10 (6 complete) HW Score: 35.33%, 3.53 of 10 pts X72.13-T E Question Help A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in oldor subjects. Before treatment, 22 subjects had a mean wake time of 104.0 min. After treatment, the 22 subjects had a mean wake time of 80.4 min and a standard deviation of 42 1 min Assume that the 22 sample values appear to be from a normal distributed population and construct a 95% confidence interval estimate of the mean wake time for a population with hug teatr ents what dos me esut suggest about the mean wake time of 104.0 min before the treatment? Does the drug appear to be effective? ur Construct the 95% confidence interval estimate of the mean wake time for a population with the treatment. min sHsmin Round to one decimal place as needed) ?? Enter your answer in the edit fields and theri cick Check Answer Cinar All remaining ??? ome áeieteExplanation / Answer
Solution:
Given in the question that
Mean time = 80.4
Sample size =22
Standard deviation = 42.1
Zalpha/2 = 1.96
So confidence interval can be calculated as follows:
Mean - zalpha/2 * SD/sqrt(n) to mean + zalpha/2 *SD/sqrt(n)
80.4 -1.96* 42.1/Sqrt(22) to 80.4+ 1.96*42.1/sqrt(22)
80.4 - 17.556 to 80.4 + 17.556
62.884 to 97.956
The drug before the treatment does not appear effective because it is outside the confidence interval.
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