Sampling and Experimentation — Test

Question 14 • 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

No, because a difference in mean distances of 2 point 6 feet or less occurred 166 out of 200 times, meaning the difference is not statistically significant. There is not convincing evidence the new golf ball travels farther than the original golf ball.

No, because a difference in mean distances of 2 point 6 feet or more occurred 34 out of 200 times, meaning the difference is not statistically significant. There is not convincing evidence the new golf ball travels farther than the original golf ball.

Yes, because a difference in mean distances of 2 point 6 feet or more occurred only 34 out of 200 times, meaning the difference is statistically significant. There is convincing evidence the new golf ball travels farther than the original golf ball.

Yes, because a difference in mean distances of 2 point 6 feet or less occurred 166 out of 200 times, meaning the difference is statistically significant. There is convincing evidence the new golf ball travels farther than the original golf ball.

Explanation

To test whether the new ball travels farther, compare the observed difference of 2.6 feet with random differences at least that large. This happened 34 out of 200 times, or 34 ÷ 200 = 0.17 (17%). Since that proportion is not small, the result is not statistically significant, so there is not convincing evidence that the new golf ball travels farther. Choice B states this conclusion.

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