1. Make a statistical decision about the null. Will you reject or fail to reject the null based on your sample data? 2. Justify your decision regarding the null. 3. Calculate the effect size for the comparison of those who estimated the line while alone vs. those who estimated in the length of line B when others told them it was 7 inches long (using Cohen's d). How large of an effect size is this (small, medium, or large)?
1. Make a statistical decision about the null. Will you reject or fail to reject the null based on your sample data? 2. Justify your decision regarding the null. 3. Calculate the effect size for the comparison of those who estimated the line while alone vs. those who estimated in the length of line B when others told them it was 7 inches long (using Cohen's d). How large of an effect size is this (small, medium, or large)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
1. Make a statistical decision about the null. Will you reject or fail to reject the null based on your sample data?
2. Justify your decision regarding the null.
3. Calculate the effect size for the comparison of those who estimated the line while alone vs. those who estimated in the length of line B when others told them it was 7 inches long (using Cohen's d). How large of an effect size is this (small, medium, or large)?
![Soloman Asch conducted a series of highly influential studies in the 1950's on
conformity. In a typical study, subjects are shown a card with the figure below, and told
that the length of line “X” is exactly 6 inches. It is known that in the population, the
mean estimated length of line "B" is µ = 6 inches, when individuals are asked to
estimate the length of line "B" when they are alone.
|||
X
ABC
To study conformity, subjects in the experiment join a group with 4 other
individuals, all of whom are confederates (i.e. they are actors who are part of the
experiment). The group is told that line "X" is exactly 6 inches. Each confederate is
then asked, one at a time, to estimate the length of line "B", and after each of them
agrees that line “B” is 7 inches in length, the subject is asked to estimate the length
of line "B". A sample of 10 subjects participate, and in this sample, the estimated
length that each participant reports is shown in the table below. Complete all 4 steps
of hypothesis testing to decide if there is a significant difference in estimates of the
length of line "B" among people who are asked while they are alone, compared to
when they are in a group.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2261fbc-4911-4247-868b-1badab13198d%2Fbea0e0cd-8c33-4955-bd46-6cd9d9652e05%2Flur2hjq_processed.png&w=3840&q=75)
Transcribed Image Text:Soloman Asch conducted a series of highly influential studies in the 1950's on
conformity. In a typical study, subjects are shown a card with the figure below, and told
that the length of line “X” is exactly 6 inches. It is known that in the population, the
mean estimated length of line "B" is µ = 6 inches, when individuals are asked to
estimate the length of line "B" when they are alone.
|||
X
ABC
To study conformity, subjects in the experiment join a group with 4 other
individuals, all of whom are confederates (i.e. they are actors who are part of the
experiment). The group is told that line "X" is exactly 6 inches. Each confederate is
then asked, one at a time, to estimate the length of line "B", and after each of them
agrees that line “B” is 7 inches in length, the subject is asked to estimate the length
of line "B". A sample of 10 subjects participate, and in this sample, the estimated
length that each participant reports is shown in the table below. Complete all 4 steps
of hypothesis testing to decide if there is a significant difference in estimates of the
length of line "B" among people who are asked while they are alone, compared to
when they are in a group.
![Participant
1
2
3
4
5
6
7
8
9
10
Estimated Length of
Line B (inches)
5.5
8.2
7
5
5.5
6.9
7.4
8
5.5
M = 6.7
(x-M) 2
1.44
S
1.69
2.25
0.09
2.89
1.44
0.04
0.49
1.69
1.44
SS = 13.41
2 = 1.49
s = 1.22](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2261fbc-4911-4247-868b-1badab13198d%2Fbea0e0cd-8c33-4955-bd46-6cd9d9652e05%2Fcan4tey_processed.png&w=3840&q=75)
Transcribed Image Text:Participant
1
2
3
4
5
6
7
8
9
10
Estimated Length of
Line B (inches)
5.5
8.2
7
5
5.5
6.9
7.4
8
5.5
M = 6.7
(x-M) 2
1.44
S
1.69
2.25
0.09
2.89
1.44
0.04
0.49
1.69
1.44
SS = 13.41
2 = 1.49
s = 1.22
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