A golf pro wants to determine if Titleist Pro V1 golf balls (1) travel farther, on average, than Callaway Chrome Soft golf balls (2). A robot hits 9 of each ball, selected at random, and the distance traveled is measured. Assume the distances traveled are normally distributed. The average distance traveled by the 9 Titleist Pro V1 golf balls is 261.1 yards with standard deviation 10 yards, and the average distance traveled by the 9 Callaway Chrome Soft golf balls is 249.3 yards with standard deviation 12 yards.
Which test should the golf pro use to determine if Titleist Pro V1 golf balls travel a longer average distance than Callaway Chrome Soft golf balls?
a. pairedt test for means
b. paredz test for means
c. Ottest for proportions
d. test for means
e. test for means
f. Ottest for proportions

We are also trying to find out if the average distance travelled by the Titleist Pro V1 golf balls is farther than that of the Callaway Chrome Soft golf balls.

Also, the standard deviation of both cases are known.

Thus, this is where Paired Z-test for means is used.

joaobezerra joaobezerra · Answer 2 · 2021-12-14T10:31:13+01:00

According to the desired test, the correct option is:

a. paired t-test for means

At the null hypothesis, it is tested that ball 1 does not travel farther than ball 2, that is, the subtraction is of at most 0:

[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]

At the alternative hypothesis, it is tested if it travels farther, that is:

[tex]H_1: \mu_1 - \mu_2 > 0[/tex]

Since we have the standard deviation for the sample, the t-distribution is used.

The values tested are greater than 1, hence, the test is for means.

There are two samples, hence a paired test is used.

Considering the three bullet points above, the correct option is a.

For more on a paired t-test for means, you can check https://brainly.com/question/16162795