Question

A golf instructor is interested in determining if her new technique for improving players’ golf scores is effective. She takes four (4) new students. She records their $18$-hole scores before learning the technique and then after having taken her class. She conducts a hypothesis test. The data are as Table 10.37.

$\begin{array}{|lllll|}\hline & \text{Player 1}& \text{Player 2}& \text{Player 3}& \text{Player 4}\\ \text{Mean score before class}& 83& 78& 93& 87\\ \text{Mean score after class}& 80& 80& 86& 86\\ \hline\end{array}$

This is:

a. a test of two independent means.

b. a test of two proportions.

c. a test of a single mean.

d. a test of a single proportion.

Short answer

This is a test of two independent means.

Step-by-step solution

Given Information

Given data:

$\begin{array}{|lllll|}\hline & \text{Player 1}& \text{Player 2}& \text{Player 3}& \text{Player 4}\\ \text{Mean score before class}& 83& 78& 93& 87\\ \text{Mean score after class}& 80& 80& 86& 86\\ \hline\end{array}$

Explanation

Testing can be carried out if the data and mean-variance of both samples are determined, and the population standard deviation is unknown, that is a test of two independent means.