A certified mechanic was timed for the repair of an automobile on 14 separate occasions. Over the same period a trainee mechanic was timed for the repair of a similar automobile. The times in minutes are given below. Certified 344 276 257 334 267 164 222 343 212 175 211 311 209 188 Trainee 222 342 178 234 398 232 377 211 309 190 351 343 177 269 b. Test a hypothesis that the two mean times for both mechanics are equal. Use the 5% level of significance. c. Subsequently, it was learnt that the times for the trainee were incorrectly recorded and that each of the values abouve is 30 minutes too small. What, if, any, differences does this make to the results of the test done in part (b)?
A certified mechanic was timed for the repair of an automobile on 14 separate occasions. Over the same period a trainee mechanic was timed for the repair of a similar automobile. The times in minutes are given below. Certified 344 276 257 334 267 164 222 343 212 175 211 311 209 188 Trainee 222 342 178 234 398 232 377 211 309 190 351 343 177 269 b. Test a hypothesis that the two mean times for both mechanics are equal. Use the 5% level of significance. c. Subsequently, it was learnt that the times for the trainee were incorrectly recorded and that each of the values abouve is 30 minutes too small. What, if, any, differences does this make to the results of the test done in part (b)?
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Author:Amos Gilat
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A certified mechanic was timed for the repair of an automobile on 14 separate occasions. Over the same period a trainee mechanic was timed for the repair of a similar automobile. The times in minutes are given below.
Certified | 344 | 276 | 257 | 334 | 267 | 164 | 222 | 343 | 212 |
175 | 211 | 311 | 209 | 188 | |||||
Trainee | 222 | 342 | 178 | 234 | 398 | 232 | 377 | 211 | 309 |
190 | 351 | 343 | 177 | 269 |
b. Test a hypothesis that the two mean times for both mechanics are equal. Use the 5% level of significance.
c. Subsequently, it was learnt that the times for the trainee were incorrectly recorded and that each of the values abouve is 30 minutes too small. What, if, any, differences does this make to the results of the test done in part (b)?
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