Question

Which conditions are necessary for conducting a two-sample t-test?

a) The scores are independently sampled
b) The scores are randomly sampled
c) The scores in the population are continuously distributed
d) The populations have similar shapes or are both symmetric

Answer 1

The two-sample t-test requires independently and randomly sampled scores from normally distributed populations, with continuous data and ideally similar distribution shapes.

Step-by-step explanation:

The conditions necessary for conducting a two-sample t-test include independently sampled scores, which means that the samples come from different non-related groups, and randomly sampled scores, which ensures that each member of the population has an equal chance of being included in the sample. Additionally, it is assumed that the scores in the population are continuously distributed, and that the populations from which the samples are drawn are normally distributed. Moreover, although not strictly necessary, similar shapes of distribution or both distributions being symmetric can increase the robustness of the test.