The pooled variance is 30.68. Calculate the individual estimated variance for population 1 and population 2. StylesIn a cognitive psychology experiment, the researcher is interested in whether the encoding conditionhas a significant effect on memory for a set of drawings. In encoding condition A, subjects are asked toname the object in each drawing; in encoding condition B, subjects are asked to name the color of eachdrawing. Then all subjects are tested on their memory of the drawings. Each recruited subject israndomly assigned to either encoding condition A or encoding condition B.Based on memory theories, the researcher hypothesized that condition A (object naming) would lead tosignificantly better memory compared to condition B (color naming), and she sets the significance levelat a = .01 for a one-tailed test.Hint: You may remember a similar scenario in the previous assignment, but with a crucial difference. Inthe previous assignment, each subject is tested in BOTH condition A and condition B, while each subjecthere is tested in only ONE condition (either A or B).SubjectID123456789101112EncodingA778290789283918791798592SubjectID131415161718192021222324EncodingB868380779190887787768489

Formula of estimated variance (s2) is given by Sample variance (s2)=∑xi-x2n-1…

Answered: The pooled variance is 30.68. Calculate…

Math

Statistics

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

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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Question

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

Expert Solution

Formula :

Formula of estimated variance (s²) is given by

$S a m p l e v a r i a n c e (s^{2}) = \frac{\sum_{}^{} {(x_{i} - x)}^{2}}{n - 1}$

Where, x_i is the set of data

x^- is the mean of set

n is the number of samples in the set

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