John Thomas, the owner of Thomas Testing, has for some time done contract work for insurance companies regarding drunk d
Posted: Mon Jul 11, 2022 11:38 am
John Thomas, the owner of ThomasTesting, has for some time done contract work for insurancecompanies regarding drunk driving. To improve his researchcapabilities, he recently purchased the Rupple DrivingSimulator. This device will allow a subject to take a“road test” and provide a score indicating the number of errorscommitted during the test drive. Higher scores indicate moredriving errors. Driving errors would include not coming to acomplete stop at a stop sign, not using turn signals, notexercising caution on wet or snowy pavement, and so on. During theroad test, problems appear at random and not all problems appear ineach road test. These are major advantages to the Rupple DrivingSimulator because subjects do not gain any advantage by taking thetest several times.
With the new driving simulator, Mr.Thomas would like to study in detail the problem of drunk driving.He begins by selecting a random sample of 25 drivers. He asks eachof the selected individuals to take the test drive in the RuppleDriving Simulator. The number of errors for each driver isrecorded. Next, he has each of the individuals in the group drinkthree 16-ounce cans of beer in a 60-minute period and returns tothe Rupple Driving Simulator for another test drive. The number ofdriving errors after drinking the beer is also known. The researchquestion is: Does alcohol impair the driver’s ability and,therefore, increase the number of driving errors?
Mr. Thomas believes the distributionof scores on the test drive does not follow a normal distributionand, therefore a nonparametric test should be used. Because theobservations are paired, he decides to use both the sign test andthe Wilcoxon signed-rank test.
Conduct an appropriate test ofhypothesis to determine if alcohol is related to drivingerrors.
Driving Errors
Driving Errors
Subject
Without Alcohol
With
Alcohol
Subject
Without Alcohol
With
Alcohol
1
75
89
14
72
106
2
78
83
15
83
89
3
89
80
16
99
89
4
100
90
17
75
77
5
85
84
18
58
78
6
70
68
19
93
108
7
64
84
20
69
69
8
79
104
21
86
84
9
83
81
22
97
86
10
82
88
23
65
92
11
83
93
24
96
97
12
84
92
25
85
94
13
80
103
With the new driving simulator, Mr.Thomas would like to study in detail the problem of drunk driving.He begins by selecting a random sample of 25 drivers. He asks eachof the selected individuals to take the test drive in the RuppleDriving Simulator. The number of errors for each driver isrecorded. Next, he has each of the individuals in the group drinkthree 16-ounce cans of beer in a 60-minute period and returns tothe Rupple Driving Simulator for another test drive. The number ofdriving errors after drinking the beer is also known. The researchquestion is: Does alcohol impair the driver’s ability and,therefore, increase the number of driving errors?
Mr. Thomas believes the distributionof scores on the test drive does not follow a normal distributionand, therefore a nonparametric test should be used. Because theobservations are paired, he decides to use both the sign test andthe Wilcoxon signed-rank test.
Conduct an appropriate test ofhypothesis to determine if alcohol is related to drivingerrors.
Driving Errors
Driving Errors
Subject
Without Alcohol
With
Alcohol
Subject
Without Alcohol
With
Alcohol
1
75
89
14
72
106
2
78
83
15
83
89
3
89
80
16
99
89
4
100
90
17
75
77
5
85
84
18
58
78
6
70
68
19
93
108
7
64
84
20
69
69
8
79
104
21
86
84
9
83
81
22
97
86
10
82
88
23
65
92
11
83
93
24
96
97
12
84
92
25
85
94
13
80
103