Homework Help is Here – Start Your Trial Now!
Math
Statistics
how to calculate for Variance S^2 for Group A and Group B？what is the formula？

how to calculate for Variance S^2 for Group A and Group B？what is the formula？

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
how to calculate for Variance S^2 for Group A and Group B？what is the formula？
1. A recent medical study has tested the effectiveness of two ways (active vs. passive) in which people react to stressful situations. This study divided 24 college students into two groups (12 each). Participants in Group A were asked to memorize some material within 12 minutes to be tested and Participants in Group B saw a video clip showing a heart surgery procedure. Researchers say that Group A represents an 'active' reaction to a stressful situation while Group B represents a 'passive' one. They want to test which group shows greater resistance to stress by measuring the amount of immune protein (see the data below). Can we conclude that one group is different from the other (non- directional test) in terms of its resistance to stress? Conduct a hypothesis test at the significance level of .05 and .01 while presenting the 7 steps hypothesis test procedures (Show the process of computation of tobserved)? (Note: you will have to calculate means and variances by yourself before using the formula) Group A Group B 13 16 15 10 19 15 9 52148 13 11 10 15 252 12 9 HHR2DSHE 14 11 13 12 10 8 11 16
Transcribed Image Text:1. A recent medical study has tested the effectiveness of two ways (active vs. passive) in which people react to stressful situations. This study divided 24 college students into two groups (12 each). Participants in Group A were asked to memorize some material within 12 minutes to be tested and Participants in Group B saw a video clip showing a heart surgery procedure. Researchers say that Group A represents an 'active' reaction to a stressful situation while Group B represents a 'passive' one. They want to test which group shows greater resistance to stress by measuring the amount of immune protein (see the data below). Can we conclude that one group is different from the other (non- directional test) in terms of its resistance to stress? Conduct a hypothesis test at the significance level of .05 and .01 while presenting the 7 steps hypothesis test procedures (Show the process of computation of tobserved)? (Note: you will have to calculate means and variances by yourself before using the formula) Group A Group B 13 16 15 10 19 15 9 52148 13 11 10 15 252 12 9 HHR2DSHE 14 11 13 12 10 8 11 16
Computation: First, you must compute the variances for Groups A and B, respectively Group A N₁ = 12 Group B N₂= 12 Mean 11.75 Variance (s²) = 5.84 Mean 14.00 Variance (s) = 9.09 Then, using the formula for "independent t-test," which is found in the lecture note (or textbook), you should put the numbers in the formula and show the process of computation to get at the final answer
Transcribed Image Text:Computation: First, you must compute the variances for Groups A and B, respectively Group A N₁ = 12 Group B N₂= 12 Mean 11.75 Variance (s²) = 5.84 Mean 14.00 Variance (s) = 9.09 Then, using the formula for "independent t-test," which is found in the lecture note (or textbook), you should put the numbers in the formula and show the process of computation to get at the final answer
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS