Question

Ten professional golfers are asked to hit each of two brands of golf ball with their drivers. The golfers do not know which brand they are hitting, and the order in which they hit the balls is determined by flipping a coin. The distances of their drives are listed in the table.

Golfer	Brand 1	Brand 2
1	265	268
2	281	283
3	260	257
4	274	277
5	269	270
6	288	291
7	271	275
8	270	274
9	267	269
10	284	288

To test for a difference in the mean length of the two brands, we would use the

Select one:

a. one-sample t test.

b. matched pairs t test.

c. two-sample t test.

Answer 1

Solution:

We are given that: Ten professional golfers are asked to hit each of two brands of golf ball with their drivers. The distances of their drives are measured.

We have to determine which test should be used to test for a difference in the mean length of the two brands.

Here we are measuring the distances of drives by golfers by using two different Brands of golf ball, thus subject ( golfer) in the study of two brands of golf ball is same.

That is we are taking or considering pairs of observations made on two golf ball by same subject ( golfer) Thus this is paired sample.

Thus we use Matched Pairs t test.

Thus correct option is: b. Matched Pairs t test.