Question

The one-sample t-test makes the following assumptions:

A. The data are normally distributed, OR the sample size is large enough that the means are normally distributed

B. The data are collected by a simple random sampling design

C. Both A and B

D. Neither A nor B

E. The individual observations are independent

F. The measurements are collected on an interval or absolute scale

G. All of the above

Answer 1

As a parametric procedure (a procedure which estimates unknown parameters), the one sample t-test makes several assumptions. Although t-tests are quite robust, it is good practice to evaluate the degree of deviation from these assumptions in order to assess the quality of the results. The one sample t-test has four main assumptions:

• The dependent variable must be continuous (interval/ratio).
• The observations are independent of one another.
• The dependent variable should be approximately normally distributed.
• The dependent variable should not contain any outliers.

So answers are C, F and E