Question

An investigator thinks that college students who pay for most of their own education study more than college students whose parents pay for most of their education. He gathers information on students regarding who is paying the greater portion of their college bills in order to put them into groups (parents pay (P) or student pays (S)) and also on the number of hours they report studying per week.

Choose the type of test you should use to test this hypothesis?

A) Z test
B) Single sample T test
C) Dependent T test
D) Independent T test
E) ANOVA
F) Pearson correlation T test

Answer 1

Here basically investigator want to asses whether students of whom most of the expense is paid by their own study more or students of whom most of the expense is paid by their parents.

So we are getting information about study hours put by them.

We have to group these students in two groups as per who is paying for their education

A) We can use the Z test if we know the variance of both the groups in advance else we can't do this.

B) single sample t-test can not be done as we have 2 samples.

C) Dependent sample t-test is used when we measure the variable on the same population, before and after applying some treatment . But here we are measuring the number of study hours on two separate samples. So this can not be used.

D) Independent Sample T-test would be the best choice for this.

E) Anova is the general case of the Independent Sample T-test when the number of groups are greater than 2.

So this can also be uised.

F) Pearson correlation test is used to check whether two populations are related or not but it won't give any comparison.

So If there is only one choice D) Independent T test is the best choice.

Else we can also use

E) ANOVA or

A) Z test (If we know variance of two populations in advance)