Question

PLEASE HELP

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 randomly selects a ball, not knowing which type is chosen, and hits it. The difference in mean distances traveled (new – original) for the samples was 2.6 feet. Assuming there is no difference in distance traveled between the two types of golf balls, 200 simulated differences in sample means are displayed in the dotplot.



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?

Yes, because a difference in mean distances of 2.6 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 2.6 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.
No, because a difference in mean distances of 2.6 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.
No, because a difference in mean distances of 2.6 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.

Answer 1

Answer: A Yes, because the balls are randomly selected, the distances of the new ball can be compared to the distances of the original ball.

B Yes, because the original ball type is included in this experiment, the distances the different balls travel can be accurately compared.

Explanation:

C No, because a placebo ball was not used, a comparison cannot be made to determine if the new ball travels significantly farther.

D No, because all of the new type of balls are not hit first, the distances they travel cannot be compared to the distances of the original ball.

Answer 2

B.

Explanation: