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Question
The management of the Seaside Golf Club regularly monitors the golfers on its course for speed of play. Suppose a random sample of golfers was taken in 2011 and another random sample of golfers was selected in 2006. The results of the two samples are as follows:
A) Because the calculated value of t = -2.03 is less than the lower tail critical value of t = - 1.6686, reject the null hypothesis. Based on these sample data, at the α = 0.10 level of significance there is sufficient evidence to conclude that the average speed of play is different in 2012 than in 2011.
B) Because the calculated value of t = 1.84 is greater than the upper tail critical value of t = 1.6686, reject the null hypothesis. Based on these sample data, at the α = 0.10 level of significance there is sufficient evidence to conclude that the average speed of play is different in 2012 than in 2011.
C) Because the calculated value of t = 0.89 is neither less than the lower tail critical value of t = - 1.6686, nor greater than the upper tail critical value of t = 1.6686, do not reject the null hypothesis. Based on these sample data, at the α = 0.10 level of significance there is not sufficient evidence to conclude that the average speed of play is different in 2012 than in 2011.
D) Because the calculated value of t = 1.17 is neither less than the lower tail critical value of t = - 1.6686, nor greater than the upper tail critical value of t = 1.6686, do not reject the null hypothesis. Based on these sample data, at the α = 0.10 level of significance there is not sufficient evidence to conclude that the average speed of play is different in 2012 than in 2011.
Answer
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