Two Population Means with Unknown Standard Deviations · Exercise 41

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.
$$\begin{array}{cc}\text{Western}& \text{Eastern}\\ \text{Los Angeles 9}& \text{D United 9}\\ \text{FC Dallas 3}& \text{Chicago 8}\\ \text{Chivas USA 4}& \text{Columbus 7}\\ \text{Real Salt Lake 3}& \text{New England 6}\\ \text{Colorado 4}& \text{MetroStars 5}\\ \text{San Jose 4}& \text{Kansas City 3}\end{array}$$

Conduct a hypothesis test to answer the next two exercises.

If the level of significance is 0.05, the conclusion is:

(a) There is sufficient evidence to conclude that the W Division teams score fewer goals, on average, than the E teams.
(b) There is insufficient evidence to conclude that the W Division teams score more goals, on average, than the E teams.
(c) There is insufficient evidence to conclude that the W teams score fewer goals, on average, than the E teams.
(d) There is not sufficient evidence to determine a conclusion.

OpenStax, Statistics · §10.1 Two Population Means with Unknown Standard Deviations · Exercise 41