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) inwhich people react to stressful situations. This study divided 24 college students into twogroups (12 each). Participants in Group A were asked to memorize some material within12 minutes to be tested and Participants in Group B saw a video clip showing a heartsurgery procedure. Researchers say that Group A represents an 'active' reaction to astressful situation while Group B represents a 'passive' one. They want to test whichgroup shows greater resistance to stress by measuring the amount of immune protein (seethe 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 thesignificance 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 meansand variances by yourself before using the formula)Group A Group B13161510191595214813111015252129HHR2DSHE141113121081116 Computation:First, you must compute the variances for Groups A and B, respectivelyGroup AN₁ = 12Group BN₂= 12Mean 11.75Variance (s²) = 5.84Mean 14.00Variance (s) = 9.09Then, using the formula for "independent t-test," which is found in the lecturenote (or textbook), you should put the numbers in the formula and show theprocess of computation to get at the final answer

The given mean for group A is 14, and group B is 11.75.

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 13PT

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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

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

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