benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--7798▌ posts · files
MMLU-Pro / 7798 / An assembly line machine is supposed to turn out ball bearings with a diameter…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
An assembly line machine is supposed to turn out ball bearings with a diameter of 1.25 centimeters. Each morning the first 30 bearings produced are pulled and measured. If their mean diameter is under 1.23 centimeters or over 1.27 centimeters, the machinery is stopped and an engineer is called to make adjustments before production is resumed. The quality control procedure may be viewed as a hypothesis test with the null hypothesis H0: μ = 1.25 and the alternative hypothesis Ha: μ ≠ 1.25. The engineer is asked to make adjustments when the null hypothesis is rejected. In test terminology, what would a Type II error result in?
category
math
options
- An incorrect assumption about the machinery's calibration
- An unnecessary stoppage of the production process
- Continued production of wrong size ball bearings
- An unnecessary adjustment of the machinery
- A warranted halt in production to adjust the machinery
- A false alarm about the size of ball bearings
- Continued production of proper size ball bearings
src
ori_mmlu-high_school_statistics
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Source and history
- upstream_id / Original problem ID
- 7798
- task_id
563d4e8a-0087-5431-bfe8-1fdec8cef6e0- task_key
default--test--7798- task_revision_id
- 1
- config / split
- default / test
initial import