A Manager Is Interested in Testing Whether Three Populations of Interest

question 71

Multiple Choice

A manager is interested in testing whether three populations of interest have equal population means. Simple random samples of size 10 were selected from each population. The following ANOVA table and related statistics were computed: Conduct the appropriate test of the null hypothesis assuming that the populations have equal variances and the populations are normally distributed. Use a 0.05 level of significance.

• A) Using the F test approach, because F = 3.354 < critical F = 9.84, we reject the null hypothesis and conclude that the population means are not all equal.
• B) Using the F test approach, because F = 3.354 < critical F = 9.84, we do not reject the null hypothesis and conclude that the population means are all equal.
• C) Using the F test approach, because F = 9.84 > critical F = 3.35, we reject the null hypothesis and conclude that the population means are not all equal.
• D) Using the F test approach, because F = 9.84 > critical F = 3.35, we do not reject the null hypothesis and conclude that the population means are all equal.

---

Definitions:

War Hawks

A term used to describe members of Congress who strongly supported war against Britain in the lead-up to the War of 1812, advocating for an aggressive stance.

Public Discourse

The exchange of ideas, information, and opinions in the public sphere, typically involving discussion on matters of common concern to society.

Late Eighteenth

Referring to the late 1700s, a period marked by significant historical events such as the American Revolution and the early stages of the Industrial Revolution.

Early Nineteenth

Pertaining to the period from 1801 to 1830, typically involving events and developments in the early 19th century.