John is the manager at the Deerfield Golf Course and would like to test the hypothesis that the average golf score at his course is different from the average golf score at the Pike Creek Golf Course, which is a competitor in the area. The following data represents the golf scores for seven golfers who recently played at both courses.
|
Golfer
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
|
Deerfield
|
85
|
93
|
96
|
83
|
78
|
80
|
80
|
|
Pike Creek
|
88
|
91
|
99
|
94
|
82
|
85
|
91
|
Define Population 1 as the Deerfield course and Population 2 as the Pike Creek course. Construct a 95% confidence interval for the difference in population mean and interpret the results.