The alumni association for our college has gathered a large dataset on graduating seniors. Some of the variables in the data set are gender, major, GPA, and starting salary. They are interested in looking at relationships among these variables. For which of the following pairs of variables would a two sample t-test be appropriate to examine whether there is a relationship between the two variables?

a. GPA and gender

b. Major and salary

c. None of the above because two sample t-tests are for comparing numerical variables.

d. Gender and major

e. GPA and salary

Answer: The answer is a GPA and gender

Explanation:

statistics is a numerical science which deals with the process of collecting, classifying, analysing and interpreting numerical data. It is based on the following elements which are

Data collection : This is the process of gathering raw data to be measured which can be collected by means of interviewing, observation, questionnaire.

Data classification : This is the process of arranging data into classes based on their relationship to each other. It includes the grouping of the data in order to establish the basis of the proposed studies.

Data Analysis : This is the method of getting out the essential facts from the collected data. this can be achieved through the use of frequency distribution tables, measures of dispersion, percentages, correlation coefficient, t - test and so on

Data interpretation : This is the process of interpreting the collected data in order to determine the kind of relationship that exist between two or more variables. It consists of those method by which judgement are formed one of them is the t - test which can be described as the method of determining the difference between the mean of two variables. While a two sample t - test is the method used to know the difference between the mean of two independent population. Therefore in terms of cases above the two sample t - test would be appropriate to examine the relationship between the two variables of GPA and gender