Consider the Following to Answer the Question(s) Below

question 9

Multiple Choice

Consider the following to answer the question(s) below.
A recent study of two brands of golf balls was undertaken to determine whether there is a difference in the mean distance that the two golf ball brands will fly off the tee. To conduct the test, a robot which swings the club at the same speed and with the same swing pattern each time was used. The following data reflect sample data for a random sample of balls of each brand. We assume that the variances of the two groups are the same.
Brand A: 234 236 230 227 234 233 228 229 230 238
Brand B: 240 236 241 236 239 243 230 239 243 240
-Which test would be most appropriate for testing this hypothesis?

• A) the pooled t-test
• B) the two sample t-test
• C) the paired t-test
• D) the two proportion z-test
• E) the one sample t-test

---

Definitions:

Path-goal Theory

A leadership theory that suggests a leader's effectiveness is determined by their ability to clear pathways to their followers' goals, modifying their style to the situation and the follower's characteristics.

Environment

The surrounding conditions or context in which a person, animal, or plant lives or operates, encompassing both natural and built elements.

Leader-member Exchanges

A theory focusing on the two-way (dyadic) relationship between leaders and followers, emphasizing the mutual benefits derived from a high-quality relationship.

Skill Development

The process of identifying, learning, and refining skills necessary for a particular job or activity.