2
QuizMultiple Choice

Scope of Inference — Quiz

Question 2 • Statistics

Using the dotplot and the difference in mean distances from the samples, is there convincing evidence that the new golf ball travels farther than the original golf ball?

Answer
A
No, because a difference in mean distances of 4 point 9 feet or more occurred 6 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence the new golf ball travels farther than the original golf ball.
B
Yes, because a difference in mean distances of 4 point 9 feet or less occurred 194 out of 200 times, meaning the difference is statistically significant and there is convincing evidence the new golf ball travels farther than the original golf ball.
C
No, because a difference in mean distances of 4 point 9 feet or less occurred 194 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence the new golf ball travels farther than the original golf ball.
D
Yes, because a difference in mean distances of 4 point 9 feet or more occurred only 6 out of 200 times, meaning the difference is statistically significant and there is convincing evidence the new golf ball travels farther than the original golf ball.

Explanation

The observed difference in sample means is 4.9 feet in favor of the new golf ball. In the dotplot, only 6 of 200 simulated differences were 4.9 feet or greater, giving a small tail proportion of 6/200 = 0.03. Such a result would be uncommon if the balls performed the same, so there is convincing evidence that the new golf ball travels farther. Choice D states this conclusion.

AI-written and checked against the verified answer.

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