In: Statistics and Probability
During the 2016 Masters Golf tournament Jordan Spieth failed to repeat as champion. His scores relative to par in each round, on each hole are reported in the table below.
Hole | Round 1 | Round 2 | Round 3 | Round 4 | |||||||||||||||
1 | 0 | –1 | 0 | 0 | |||||||||||||||
2 | 0 | 0 | –1 | –1 | |||||||||||||||
3 | –1 | –1 | 0 | 0 | |||||||||||||||
4 | 0 | 0 | 0 | 0 | |||||||||||||||
5 | 0 | 2 | 0 | 1 | |||||||||||||||
6 | –1 | 0 | 0 | –1 | |||||||||||||||
7 | 0 | 0 | 1 | –1 | |||||||||||||||
8 | –1 | –1 | –1 | –1 | |||||||||||||||
9 | 0 | 1 | 0 | –1 | |||||||||||||||
10 | –1 | 1 | 0 | –1 | |||||||||||||||
11 | 0 | 0 | 2 | 1 | |||||||||||||||
12 | 0 | 0 | –1 | 4 | |||||||||||||||
13 | –1 | 0 | –1 | 0 | |||||||||||||||
14 | 0 | 0 | –1 | 0 | |||||||||||||||
15 | 0 | –1 | –1 | –1 | |||||||||||||||
16 | 0 | 1 | 0 | 0 | |||||||||||||||
17 | 0 | 1 | 1 | 1 | |||||||||||||||
18 | –1 | 0 | 2 | 0 | |||||||||||||||
Determine the control limits of appropriate control charts for Jordan Spieth performance. Report your findings. (Round your mean values to 4 decimal places and control limits to 3 decimal places.)
Mean of the sample means | |
Mean of the sample ranges | |
UCL for X-bar chart | |
LCL for X-bar chart | |
UCL for R-bar chart |
Solution:
PFA the image for all the values required. The formula is mentioned in the image itself.
Caution:
Check for your required values of control chart constants (D3, D4, A2) since these values vary (in case of few decimal points.