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The pooled variance is 30.68. Calculate the individual estimated variance for population 1 and population 2.

The pooled variance is 30.68. Calculate the individual estimated variance for population 1 and population 2.

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
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The pooled variance is 30.68. Calculate the individual estimated variance for population 1 and population 2.
Styles In a cognitive psychology experiment, the researcher is interested in whether the encoding condition has a significant effect on memory for a set of drawings. In encoding condition A, subjects are asked to name the object in each drawing; in encoding condition B, subjects are asked to name the color of each drawing. Then all subjects are tested on their memory of the drawings. Each recruited subject is randomly assigned to either encoding condition A or encoding condition B. Based on memory theories, the researcher hypothesized that condition A (object naming) would lead to significantly better memory compared to condition B (color naming), and she sets the significance level at a = .01 for a one-tailed test. Hint: You may remember a similar scenario in the previous assignment, but with a crucial difference. In the previous assignment, each subject is tested in BOTH condition A and condition B, while each subject here is tested in only ONE condition (either A or B). Subject ID 1 2 3 4 5 6 7 8 9 10 11 12 Encoding A 77 82 90 78 92 83 91 87 91 79 85 92 Subject ID 13 14 15 16 17 18 19 20 21 22 23 24 Encoding B 86 83 80 77 91 90 88 77 87 76 84 89
Transcribed Image Text:Styles In a cognitive psychology experiment, the researcher is interested in whether the encoding condition has a significant effect on memory for a set of drawings. In encoding condition A, subjects are asked to name the object in each drawing; in encoding condition B, subjects are asked to name the color of each drawing. Then all subjects are tested on their memory of the drawings. Each recruited subject is randomly assigned to either encoding condition A or encoding condition B. Based on memory theories, the researcher hypothesized that condition A (object naming) would lead to significantly better memory compared to condition B (color naming), and she sets the significance level at a = .01 for a one-tailed test. Hint: You may remember a similar scenario in the previous assignment, but with a crucial difference. In the previous assignment, each subject is tested in BOTH condition A and condition B, while each subject here is tested in only ONE condition (either A or B). Subject ID 1 2 3 4 5 6 7 8 9 10 11 12 Encoding A 77 82 90 78 92 83 91 87 91 79 85 92 Subject ID 13 14 15 16 17 18 19 20 21 22 23 24 Encoding B 86 83 80 77 91 90 88 77 87 76 84 89
Expert Solution
Formula :

Formula of estimated variance (s2) is given by 

                Sample variance (s2)=∑xi-x2n-1

Where, xi is the set of data 

            x- is the mean of set 

            n is the number of samples in the set 

 

 

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