Solution Found!
Two populations are described in each of the following
Chapter 8, Problem 5E(choose chapter or problem)
Two populations are described in each of the following cases. In which cases would it be appropriate to apply the small-sample t-test to investigate the difference between the population means?
a. Population 1: Normal distribution with variance \(\sigma_{1}^{2}\). Population 2: Skewed to the right with variance \(\sigma_{2}^{2}=\sigma_{1}^{2}\).
b. Population 1: Normal distribution with variance \(\sigma_{1}^{2}\). Population 2: Normal distribution with variance \(\sigma_{2}^{2}\ \neq\ \sigma_{1}^{2}\).
c. Population 1: Skewed to the left with variance \(\sigma_{1}^{2}\). Population 2: Skewed to the left with variance \(\sigma_{2}^{2}=\sigma_{1}^{2}\).
d. Population 1: Normal distribution with variance \(\sigma_{1}^{2}\). Population 2: Normal distribution with variance \(\sigma_{2}^{2}=\sigma_{1}^{2}\).
e. Population 1: Uniform distribution with variance \(\sigma_{1}^{2}\). Population 2: Uniform distribution with variance \(\sigma_{2}^{2}=\sigma_{1}^{2}\).
Questions & Answers
QUESTION:
Two populations are described in each of the following cases. In which cases would it be appropriate to apply the small-sample t-test to investigate the difference between the population means?
a. Population 1: Normal distribution with variance \(\sigma_{1}^{2}\). Population 2: Skewed to the right with variance \(\sigma_{2}^{2}=\sigma_{1}^{2}\).
b. Population 1: Normal distribution with variance \(\sigma_{1}^{2}\). Population 2: Normal distribution with variance \(\sigma_{2}^{2}\ \neq\ \sigma_{1}^{2}\).
c. Population 1: Skewed to the left with variance \(\sigma_{1}^{2}\). Population 2: Skewed to the left with variance \(\sigma_{2}^{2}=\sigma_{1}^{2}\).
d. Population 1: Normal distribution with variance \(\sigma_{1}^{2}\). Population 2: Normal distribution with variance \(\sigma_{2}^{2}=\sigma_{1}^{2}\).
e. Population 1: Uniform distribution with variance \(\sigma_{1}^{2}\). Population 2: Uniform distribution with variance \(\sigma_{2}^{2}=\sigma_{1}^{2}\).
ANSWER:Step 1 of 2
Population serves a different meaning in statistics. This indicates all items which are to be studied for conducting the particular investigation.