Question

State which hypothesis test would be appropriate under the following conditions. We know that our two data sets come from approximately normally distributed populations and that they have very different variances.

The Answer Options are:

2-sample t-test with unequal variances

2-sample t-test with equal variances

t-test Mann-Whitney

U Test

z-test

Answer 1

2-sample t-test with unequal variances

Explanation:

We are given two samples which are come from the normally distributed populations with unequal population variances. So, we are using two sample t test for the difference between the two population means by assuming unequal population variances. We are using t test because we are not given the values for the population standard deviations. Data is numerical so we don’t use non-parametric test like U test.