Problem 5E

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

b. Population 1: Normal distribution with variance

c. Population 1: Skewed to the left with variance

d. Population 1: Normal distribution with variance

e. Population 1: Uniform distribution with variance

Kelsey A. Jackson PSY 1110 Notes for Friday, September 30 .th 1. Normal Distribution a. Many distributions of measures conform to the normal or bell curve. i. Examples are IQ tests, or height and weight numbers for each gender. b. The Normal Distribution is a theoretical distribution that is based on a population of an infinite number of cases. c. The mean is represented by u (mu) and the variance is represented by (sigma). d. Key Features of Normal Distribution i. Normal distribution is asymptotic to the xaxis. 1. The data will never touch the xaxis because there is an infinite number of cases.