To investigate the effect of four treatments on change in body fat mass each of 74 male subjects who were over age 65 was assigned at random to one of the following four treatments: (1) placebo "growth hormone" and placebo "steroid" (denoted by P + P), (2) placebo "growth hormone" and the steroid testosterone (denoted by P + S), (3) growth hormone and placebo "steroid" (denoted by G + P), and (4) growth hormone and the steroid testosterone (denoted by G + S). The accompanying table lists data on change in body fat mass over the 26-week period following the treatment. Carry out an F test to see whether true mean change in body fat mass differs for the four treatments if

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
To investigate the effect of four treatments on change in body fat mass each of 74 male subjects who were over age 65 was assigned at random to one of the following four treatments: (1) placebo "growth hormone" and placebo "steroid" (denoted by P + P), (2) placebo "growth hormone" and the steroid testosterone (denoted by P + S), (3) growth hormone and placebo "steroid" (denoted by G + P), and (4) growth hormone and the steroid testosterone (denoted by G + S). The accompanying table lists data on change in body fat mass over the 26-week period following the treatment. Carry out an F test to see whether true mean change in body fat mass differs for the four treatments if 
N = 74,
 grand total 
T = −156.3,
 and 
 = 
T
N
 = −2.1122.
 (Use a significance level of 0.05.)

Change in Body Fat Mass (kg)

Treatment P + P P + S G + P G + S
  0.2 −3.8 −3.9 −4.9
0.5 −1.1 −3.3 −5.1
−1.6 0.3 −4.8 −2.9
−0.4 −2.2 −5.1 −2.7
−2.2 1.6 −2.3 −6.3
1.2 −1.3 −3.4 −7.1
0.9 1.3 −4.5 −4.4
1.6 −2.6 −0.7 −4.3
−1.1 −3.2 −1.7 −5.1
−0.1 0.3 −4.1 −6.1
1.6 0.5 −1.8 −3.9
1.1 −0.6 −3.1 −4.0
0.5 −0.2 −1.7 −3.2
0.5 −3.0 −2.8 −5.6
−1.2 0.2 −2.8 −4.6
−0.1 −0.4 −2.8 −4.4
0.8 −0.7 −3.6 −3.9
  −0.8   −4.1
  −0.8   −4.6
  −1.9    
  −0.5    
n 17 21 17 19
x 0.1294 −0.9000 −3.0824 −4.5895
s 1.1168 1.4505 1.2027 1.1352
s2 1.2472 2.1040 1.4465 1.2888
 
Calculate the test statistic and find the P-value. (Round your answer to two decimal places.)
F = 
P-value = 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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