In an investigation to compare the accuracy of Crackshot and Fastfire 12-gauge shotguns in clay pigeon shooting, ten competitors each fired 100 shots with each make of gun. Their scores are shown below:
|
Competitor
|
A
|
B
|
C
|
D
|
E
|
F
|
G
|
H
|
I
|
J
|
|
Crackshot
|
93
|
99
|
90
|
86
|
85
|
94
|
87
|
91
|
96
|
79
|
|
Fastfire
|
87
|
91
|
86
|
87
|
78
|
95
|
89
|
84
|
88
|
74
|
It may be assumed that the differences between the pairs of scores are approximately normally distributed. Examine the claim that the Crackshot shotgun is the more accurate for clay pigeon shooting. Use a complete 5-step process including a formal decision regarding the null and an interpretation that addresses the question. Show all your work.