edical researchers interested in determining the relative effectiveness of two different drug eatments on people with a chronic mental illness established two independent test groups. The st group consisted of 14 people with the illness, and the second group consisted of 13 people with e illness. The first group received treatment 1 and had a mean time until remission of 158 days, th a standard deviation of 9 days. The second group received treatment 2 and had a mean time til remission of 166 days, with a standard deviation of 8 days. Assume that the populations of nes until remission for each of the two treatments are normally distributed. a. Can we conclude, at the 0.05 level of significance, that the mean number of days before

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Medical researchers interested in determining the relative effectiveness of two different drug
treatments on people with a chronic mental illness established two independent test groups. The
first group consisted of 14 people with the illness, and the second group consisted of 13 people with
the illness. The first group received treatment 1 and had a mean time until remission of 158 days,
with a standard deviation of 9 days. The second group received treatment 2 and had a mean time
until remission of 166 days, with a standard deviation of 8 days. Assume that the populations of
times until remission for each of the two treatments are normally distributed.
a. Can we conclude, at the 0.05 level of significance, that the mean number of days before
remission after treatment 1, µ1, is less than the mean number of days before remission after
treatment 2, µ2? Test the clam with P-value. (Just use the table.)
b. Construct 90% confidence interval for the difference of the mean number of days before
remission after treatment 1, µ1, mean number of days before remission after treatment
2, µ2.
c. How does the confidence interval from part b support your answer in part a.
Transcribed Image Text:Medical researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic mental illness established two independent test groups. The first group consisted of 14 people with the illness, and the second group consisted of 13 people with the illness. The first group received treatment 1 and had a mean time until remission of 158 days, with a standard deviation of 9 days. The second group received treatment 2 and had a mean time until remission of 166 days, with a standard deviation of 8 days. Assume that the populations of times until remission for each of the two treatments are normally distributed. a. Can we conclude, at the 0.05 level of significance, that the mean number of days before remission after treatment 1, µ1, is less than the mean number of days before remission after treatment 2, µ2? Test the clam with P-value. (Just use the table.) b. Construct 90% confidence interval for the difference of the mean number of days before remission after treatment 1, µ1, mean number of days before remission after treatment 2, µ2. c. How does the confidence interval from part b support your answer in part a.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman