The t-test is INAPPROPRIATE for investigating the difference in two sample means when
A) the variance in the two populations can be assumed equal.
B) the characteristic of interest is normally distributed in each population.
C) a pooled estimator for the overall variance is warranted.
D) the data is ordinal or nominally scaled.
E) the samples are independent.

Question

Quizplus · Accepted Answer

The t-test requires interval or ratio level data because it relies on the mean and standard deviation as measures of central tendency and dispersion. Ordinal or nominally scaled data do not meet these requirements, making the t-test inappropriate for such data types.

The T-Test Is INAPPROPRIATE for Investigating the Difference in Two