A recent study examined how applicants with a facial blemish such as a scar or birthmark fared in job interviews (Madera & Hebl, 2011). The results indicate that interviewers recalled less information and gave lower ratings to applicants with a blemish. In a similar study, participants conducted computersimulated interviews with a series of applicants including one with a facial scar and one with a facial birthmark. The following data represent the ratings given to each applicant.
a.
Given info:
The data is provided in the question:
Participant  Applicant  Person total 


Scan  Birthmark  No Blemish  
A  1  1  4 


B  3  4  8 


C  0  2  7 


D  0  0  6 


E  1  3  5 





Calculation:
Step 1:
The null and alternative hypotheses are:
Null hypothesis:
Where
Alternate hypothesis:
Step 2:
First stage:
Compute the degrees of freedom (df) for the between treatment effects, within treatment effects and total and corresponding sum of squares (SS).
Now, it is known that, for a given sample size, the degrees of freedom (df) is:
Thus,
The number of treatments,
As within treatments degrees of freedom,
The total sum of squares is:
The within treatment sum of squares is:
The within treatment sum of squares is:
Thus, here,
Second stage:
Compute the values of between subject sum of squares and sum of squares due to error
b.
To find: The value of
c.
To write: The results in from of a report.
Probability and Statistics for Engineering and the Sciences
Statistics for The Behavioral Sciences (MindTap Course List)
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Understanding Basic Statistics
Essentials Of Statistics
Calculus: Early Transcendental Functions (MindTap Course List)
Mathematical Excursions (MindTap Course List)
Calculus of a Single Variable
Single Variable Calculus: Early Transcendentals
Elementary Geometry For College Students, 7e
Mathematical Applications for the Management, Life, and Social Sciences
Intermediate Algebra
Calculus: An Applied Approach (MindTap Course List)
Finite Mathematics
Trigonometry (MindTap Course List)
Multivariable Calculus
Finite Mathematics and Applied Calculus (MindTap Course List)
Calculus: Early Transcendental Functions
Precalculus: Mathematics for Calculus (Standalone Book)
Contemporary Mathematics for Business & Consumers
Finite Mathematics for the Managerial, Life, and Social Sciences
Elements Of Modern Algebra
Calculus (MindTap Course List)
Elementary Technical Mathematics
Calculus (MindTap Course List)
Calculus: Early Transcendentals
Single Variable Calculus
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Single Variable Calculus: Early Transcendentals, Volume I
Introduction To Statistics And Data Analysis
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Study Guide for Stewart's Multivariable Calculus, 8th
Elementary Geometry for College Students