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?
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 4.9 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.
Simulated Differences in
Mean Distances of Golf Balls
O Yes, because a difference in mean distances of 4.9
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.
Yes, because a difference in mean distances of 4.9
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.
No, because a difference in mean distances of 4.9
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