14
QuizMultiple Choice

Unit Test — Unit test

Question 14 • NC-Math 4 CR

A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. A golf pro takes the balls to the driving range and hits the 40 new-style golf balls first and then the 40 original-style golf balls. The distance each ball travels is recorded. At the end of the session, the mean distance traveled for the new type of golf ball was found to be significantly greater than the mean distance for the original-style golf ball.

Answer
A
Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that new-style golf balls travel farther than the original-style of golf ball for this golf pro.
B
Inferences can be made about all the golf balls produced on that day; however, a conclusion cannot be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.
C
Inferences cannot be made about all the golf balls produced on that day, and a conclusion cannot be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.
D
Inferences cannot be made about all the golf balls produced on that day; however, the conclusion can be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.

Explanation

The balls were randomly selected from the company’s production line that day, so the results can be used to make inferences about that day’s production. However, the pro hit all the new-style balls before all the original-style balls. Changes in conditions or the pro’s performance over time could explain the difference, so the study cannot establish that the new-style balls travel farther for this pro.

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