Does moderate alcohol consumption impact the performance of heavy machinery opera- tors in the workplace? A large stevedoring company studied the time on task (in seconds) to complete a complex manoeuvre by crane operators on the dock, firstly in a completely sober condition, and then five days later, after consuming a moderate amount of alcohol (as measured by a blood alcohol test). The data are given below: Operator Time taken while sober Time taken after consuming alcohol 186 375 310 240 220 420 410 205 250 900 2 3 4 5 6 8 9 10 262 565 800 630 285 365 405 735 425 900 (a) Does moderate alcohol consumption increase the time it takes to complete a complex crane manoevure on the docks? Use an appropriate non-parametric test at a = 0.05

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Does moderate alcohol consumption impact the performance of heavy machinery opera-
tors in the workplace? A large stevedoring company studied the time on task (in seconds)
to complete a complex manoeuvre by crane operators on the dock, firstly in a completely
sober condition, and then five days later, after consuming a moderate amount of alcohol
(as measured by a blood alcohol test). The data are given below:
Operator Time taken while sober Time taken after consuming alcohol
2
3
4
5
6
9
10
186
375
310
240
220
420
410
205
250
900
262
565
800
630
285
365
405
735
425
900
(a) Does moderate alcohol consumption increase the time it takes to complete a complex
crane manoevure on the docks? Use an appropriate non-parametric test at a = 0.05
to support your conclusion.
(b) Give a normal approximation to the above test (ignore that n is less than 25).
Comment on the outcomes of the two different tests at the 1% level of significance.
Transcribed Image Text:Does moderate alcohol consumption impact the performance of heavy machinery opera- tors in the workplace? A large stevedoring company studied the time on task (in seconds) to complete a complex manoeuvre by crane operators on the dock, firstly in a completely sober condition, and then five days later, after consuming a moderate amount of alcohol (as measured by a blood alcohol test). The data are given below: Operator Time taken while sober Time taken after consuming alcohol 2 3 4 5 6 9 10 186 375 310 240 220 420 410 205 250 900 262 565 800 630 285 365 405 735 425 900 (a) Does moderate alcohol consumption increase the time it takes to complete a complex crane manoevure on the docks? Use an appropriate non-parametric test at a = 0.05 to support your conclusion. (b) Give a normal approximation to the above test (ignore that n is less than 25). Comment on the outcomes of the two different tests at the 1% level of significance.
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