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 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
Simulated Differences in
Mean Distances of Golf Balls
O 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.
O 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.
O 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
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