A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 15 of them were given multivitamin tablets formulated to fight cold symptoms. The remaining 15 volunteers were given placebo tablets. For each individual, the length of time taken to recover from the cold is recorded. At the end of the experiment the following data are obtained. Days to recover from a cold Treated with multivitamin 2.8, 5.9, 5.8, 7.9, 4.3, 8.0, 4.4, 2.7, 4.4, 7.3, 7.4, 6.6, 5.0, 9.5, 6.6 Treated with placebo 2.4, 5.1, 5.4, 7.0, 7.5, 5.3, 3.9, 5.8, 6.2, 3.5, 3.8, 2.9, 5.0, 6.2, 3.9 Send data to calculator It is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standard deviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normally distributed. The researchers claim that the mean recovery time, H, of the patients treated with multivitamin is not equal to the mean recovery time H, of the patients who are treated with placebo tablets. At the 0.01 level of significance, is there enough evidence to support this claim? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H,. Ho:0 H, :0 (b) Determine the type of test statistic to use. O=0 OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.) I and (e) Can we support the researchers' claim that the mean recovery time when treated with multivitamin is not equal to the mean recovery time when treated with placebo? O Yes ONo
A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 15 of them were given multivitamin tablets formulated to fight cold symptoms. The remaining 15 volunteers were given placebo tablets. For each individual, the length of time taken to recover from the cold is recorded. At the end of the experiment the following data are obtained. Days to recover from a cold Treated with multivitamin 2.8, 5.9, 5.8, 7.9, 4.3, 8.0, 4.4, 2.7, 4.4, 7.3, 7.4, 6.6, 5.0, 9.5, 6.6 Treated with placebo 2.4, 5.1, 5.4, 7.0, 7.5, 5.3, 3.9, 5.8, 6.2, 3.5, 3.8, 2.9, 5.0, 6.2, 3.9 Send data to calculator It is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standard deviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normally distributed. The researchers claim that the mean recovery time, H, of the patients treated with multivitamin is not equal to the mean recovery time H, of the patients who are treated with placebo tablets. At the 0.01 level of significance, is there enough evidence to support this claim? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H,. Ho:0 H, :0 (b) Determine the type of test statistic to use. O=0 OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.) I and (e) Can we support the researchers' claim that the mean recovery time when treated with multivitamin is not equal to the mean recovery time when treated with placebo? O Yes ONo
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 15 of them were
given multivitamin tablets formulated to fight cold symptoms. The remaining 15 volunteers were given placebo tablets. For each individual, the length of time
taken to recover from the cold is recorded. At the end of the experiment the following data are obtained.
Days to recover from a cold
Treated with multivitamin 2.8, 5.9, 5.8, 7.9, 4.3, 8.0, 4.4, 2.7, 4.4, 7.3, 7.4, 6.6, 5.0, 9.5, 6.6
Treated with placebo
2.4, 5.1, 5.4, 7.0, 7.5, 5.3, 3.9, 5.8, 6.2, 3.5, 3.8, 2.9, 5.0, 6.2, 3.9
Send data to calculator
It is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standard
deviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normally
distributed. The researchers claim that the mean recovery time, H, of the patients treated with multivitamin is not equal to the mean recovery time H, of the
patients who are treated with placebo tablets. At the 0.01 level of significance, is there enough evidence to support this claim? Perform a two-tailed test. Then
complete the parts below.
Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H and the alternative hypothesis H.
H:0
H, :0
(b) Determine the type of test statistic to use.
O=0
OSO
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.)
D and O
(e) Can we support the researchers' claim that the mean recovery time when treated with multivitamin
is not equal to the mean recovery time when treated with placebo?
O Yes O No
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman