Two Population Means with Unknown Standard Deviations · Exercise 40

The Eastern and Western Major League Soccer conferences have a new Reserve Division that allows new players to develop their skills. Data for a randomly picked date showed the following annual goals.
$$\begin{array}{cc}\text{Western}& \text{Eastern}\\ \text{Los Angeles 9}& \text{D.C. United 9}\\ \text{FC Dallas 3}& \text{Chicago 8}\\ \text{Chivas USA 4}& \text{Columbus 7}\\ \text{Real Salt Lake 3}& \text{New England 6}\\ \text{Colorado 4}& \text{MetroStars 5}\\ \text{San Jose 4}& \text{Kansas City 3}\end{array}$$

Conduct a hypothesis test to answer the next two exercises.

The exact distribution for the hypothesis test is:

(a) the normal distribution
(b) the Student's t-distribution
(c) the uniform distribution
(d) the exponential distribution

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §10.1 Two Population Means with Unknown Standard Deviations · Exercise 40