3) A researcher wants to determine if exposure to subliminal (unconscious) images depicting older adults (80-95 years old) will influence the time it takes pedestrians to get across a busy intersection using a crosswalk. A random sample of sixty pedestrians are exposed to a set of subliminally presented positive images using a special electronic traffic signal before the signal prompts them to cross. From previous studies (using the same crosswalk and intersection), the experimenter knows that when no subliminal images are presented, the average time it takes the city's population to cross is 30.5 seconds, with a standard deviation = 5.5 seconds.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
3) A researcher wants to determine if exposure to subliminal (unconscious) images depicting older adults (80-95
years old) will influence the time it takes pedestrians to get across a busy intersection using a crosswalk. A
random sample of sixty pedestrians are exposed to a set of subliminally presented positive images using a
special electronic traffic signal before the signal prompts them to cross. From previous studies (using the same
crosswalk and intersection), the experimenter knows that when no subliminal images are presented, the average
time it takes the city's population to cross is 30.5 seconds, with a standard deviation = 5.5 seconds.
Transcribed Image Text:3) A researcher wants to determine if exposure to subliminal (unconscious) images depicting older adults (80-95 years old) will influence the time it takes pedestrians to get across a busy intersection using a crosswalk. A random sample of sixty pedestrians are exposed to a set of subliminally presented positive images using a special electronic traffic signal before the signal prompts them to cross. From previous studies (using the same crosswalk and intersection), the experimenter knows that when no subliminal images are presented, the average time it takes the city's population to cross is 30.5 seconds, with a standard deviation = 5.5 seconds.
ΣD
n(E D²) – (E D)*
t =
n - 1
n= number of pairs of scores (for example, if 8 people are measured at tl and t2, df = 8-1 = 7)
D= the difference between each pair of scores
ED = the sum of the differences
(ED²) = the sum of the squares of the differences
(ED)²= the sum of the differences squared
t score: Independent Samples t-test (degrees of freedom = (n1 – 1) + (n2 – 1))
え-る
t =
n, -1
n, -1
X1= mean of first group (sample)
X2= mean of second group (sample)
s1 = sample variance of first group
s?, = sample variance of second group
n1 = number of subjects (or observations) in the first group
n, = number of subjects in second group
Be careful about computing the denominator; pay attention to whether you are working with sample variances or standard
deviations to make sure your computations are correct.
One Way ANOVA (see ANOVA table for degrees of freedom)
Between Groups Sum of Squares: Subtract the grand mean from each group mean, square the deviation,
multiply by n in each group and add the values together.
. Σn(Χ, - X.
SSB =
n = the number of subjects or observations in a group
X. = the mean for any group (1 through n) of subjects
X
g = the overall, or grand, mean for all subjects or observations
Within Groups Sum of Squares: Subtract each group's mean from the individual scores and add them all up.
SSw ΣΣ (X - X
X = any single score within any particular group
X,= the mean of any particular group
nG = number of groups
N= total # of subjects/observations
S
df
MS
F
Treatment
df =
F =
MS =
SS, / dfp
(Between= B)
MS, /MSw
ng-1
dfw =
N - nG
Error (Within= W) SSw
MSw =
SSw/ dfw
SSrotal
SSg + SSw
Total
dfr.
Total =
N -1 =
df,+ dfw
Transcribed Image Text:ΣD n(E D²) – (E D)* t = n - 1 n= number of pairs of scores (for example, if 8 people are measured at tl and t2, df = 8-1 = 7) D= the difference between each pair of scores ED = the sum of the differences (ED²) = the sum of the squares of the differences (ED)²= the sum of the differences squared t score: Independent Samples t-test (degrees of freedom = (n1 – 1) + (n2 – 1)) え-る t = n, -1 n, -1 X1= mean of first group (sample) X2= mean of second group (sample) s1 = sample variance of first group s?, = sample variance of second group n1 = number of subjects (or observations) in the first group n, = number of subjects in second group Be careful about computing the denominator; pay attention to whether you are working with sample variances or standard deviations to make sure your computations are correct. One Way ANOVA (see ANOVA table for degrees of freedom) Between Groups Sum of Squares: Subtract the grand mean from each group mean, square the deviation, multiply by n in each group and add the values together. . Σn(Χ, - X. SSB = n = the number of subjects or observations in a group X. = the mean for any group (1 through n) of subjects X g = the overall, or grand, mean for all subjects or observations Within Groups Sum of Squares: Subtract each group's mean from the individual scores and add them all up. SSw ΣΣ (X - X X = any single score within any particular group X,= the mean of any particular group nG = number of groups N= total # of subjects/observations S df MS F Treatment df = F = MS = SS, / dfp (Between= B) MS, /MSw ng-1 dfw = N - nG Error (Within= W) SSw MSw = SSw/ dfw SSrotal SSg + SSw Total dfr. Total = N -1 = df,+ dfw
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar 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