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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:
| 2011 | 2012 |
 1 = 225 | 2 = 219 |
| s1 = 20.25 | s2 = 21.70 |
| n1 = 36 | n2 = 31 |
Based on the sample results, can the management of the Seaside Golf Club conclude that average speed of play was different in 2012 than in 2011? Conduct the appropriate hypothesis test at the 0.10 level of significance. Assume that the management of the club is willing to accept the assumption that the populations of playing times for each year are approximately normally distributed with equal variances.
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 
= 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 = 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 = 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 = 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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