The management of the Scaside Golf Club regularly monitors the golfers on its course for speed of play. Suppose a random sample of golfers was taken in 2005 and another random sample of golfers was selected in 2006. The results of the two samples are as follows: 2005 2006 Iị = 225 20.25 82 = 21.70 E2 = 219 $1 n1 = 36 n2 = 31 Based on the sample results, can the management of the Seaside Golf Course conclude that the average speed of play was different in 2006 than in 2005? Conduct the appro- priate 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 cach year are approximately normally distributed.

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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 2005 and another random sample of golfers was selected in 2006. The results of the two samples are as follows:

### 2005
- Mean (\( \bar{x}_1 \)): 225
- Standard Deviation (\( s_1 \)): 20.25
- Sample Size (\( n_1 \)): 36

### 2006
- Mean (\( \bar{x}_2 \)): 219
- Standard Deviation (\( s_2 \)): 21.70
- Sample Size (\( n_2 \)): 31

Based on the sample results, can the management of the Seaside Golf Course conclude that the average speed of play was different in 2006 than in 2005? 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.
Transcribed Image Text: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 2005 and another random sample of golfers was selected in 2006. The results of the two samples are as follows: ### 2005 - Mean (\( \bar{x}_1 \)): 225 - Standard Deviation (\( s_1 \)): 20.25 - Sample Size (\( n_1 \)): 36 ### 2006 - Mean (\( \bar{x}_2 \)): 219 - Standard Deviation (\( s_2 \)): 21.70 - Sample Size (\( n_2 \)): 31 Based on the sample results, can the management of the Seaside Golf Course conclude that the average speed of play was different in 2006 than in 2005? 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.
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Step 1

Denote μ1, μ2 as the population average speed of play of the Golf Course in 2005 and 2006, respectively.

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