RESEARCH QUESTION 1

Write the first research question. Perform the statistical hypothesis tests to answer your research question. Perform both the parametric test and the corresponding non-parametric test and explain the results. For the parametric test, check all necessary assumptions. Finally, describe which test (parametric or non-parametric) is more suitable for your particular case and why. Also calculate the effect size and explain it. Finally, answer your research question clearly.

mydata <- read.table("./mba_decision_dataset_500.csv", 
                     header=TRUE, 
                     sep=",")

head(mydata)
##   Person.ID Age Gender Undergraduate.Major Undergraduate.GPA Years.of.Work.Experience
## 1         1  27   Male                Arts              3.18                        8
## 2         2  24   Male                Arts              3.03                        4
## 3         3  33 Female            Business              3.66                        9
## 4         4  31   Male         Engineering              2.46                        1
## 5         5  28 Female            Business              2.75                        9
## 6         6  33   Male            Business              3.58                        3
##   Current.Job.Title Annual.Salary..Before.MBA. Has.Management.Experience GRE.GMAT.Score
## 1      Entrepreneur                      90624                        No            688
## 2           Analyst                      53576                       Yes            791
## 3          Engineer                      79796                        No            430
## 4           Manager                     105956                        No            356
## 5      Entrepreneur                      96132                        No            472
## 6           Manager                     101925                        No            409
##   Undergrad.University.Ranking Entrepreneurial.Interest Networking.Importance MBA.Funding.Source
## 1                          185                      7.9                   7.6               Loan
## 2                          405                      3.8                   4.1               Loan
## 3                          107                      6.7                   5.5        Scholarship
## 4                          257                      1.0                   5.3               Loan
## 5                          338                      9.5                   4.9               Loan
## 6                          280                      3.4                   7.1        Scholarship
##   Desired.Post.MBA.Role Expected.Post.MBA.Salary Location.Preference..Post.MBA.    Reason.for.MBA
## 1       Finance Manager                   156165                  International  Entrepreneurship
## 2       Startup Founder                   165612                  International     Career Growth
## 3            Consultant                   122248                       Domestic Skill Enhancement
## 4            Consultant                   123797                  International  Entrepreneurship
## 5            Consultant                   197509                       Domestic Skill Enhancement
## 6    Marketing Director                    99591                  International        Networking
##   Online.vs..On.Campus.MBA Decided.to.Pursue.MBA.
## 1                On-Campus                    Yes
## 2                   Online                     No
## 3                   Online                     No
## 4                On-Campus                     No
## 5                   Online                    Yes
## 6                On-Campus                     No

Description: - Person ID – Unique identifier - Age – Age at the time of decision - Gender – Male, Female, Other - Undergraduate Major – Engineering, Business, Arts, Science, etc. - Undergraduate GPA – Scale from 0 to 4 - Years of Work Experience – Years before MBA decision - Current Job Title – Analyst, Manager, Consultant, etc. - Annual Salary (Before MBA) – In USD - Has Management Experience – Yes/No - GRE/GMAT Score – Standardized test score - Undergrad University Ranking – Ranking of Bachelor’s institution - Entrepreneurial Interest – Scale from 1 to 10 - Networking Importance – Scale from 1 to 10 - MBA Funding Source – Self-funded, Loan, Scholarship, Employer Desired Post-MBA Role – Consultant, Executive, Startup Founder, etc. Expected Post-MBA Salary – Expected salary after MBA Location Preference (Post-MBA) – Domestic, International Reason for MBA – Career Growth, Skill Enhancement, Entrepreneurship, etc. Online vs. On-Campus MBA – Preference for learning mode Decided to Pursue MBA? – Yes/No (Target Variable)

Research question: The imported dataset recorded the Expected post MBA Salaries for all students. Can I conclude, that the expected salaries are the same, in other words that the gender of the student does not affect their expected post MBA salaries?