You are the cadet Industrial Engineer who was to check on work standards. A certain assembly task has a prescribed normal time of 25 seconds, with an allowance of 10 seconds, such that it is standardized that 95% of workers should be able to finish the task within 35 seconds. The following 36 randomly timed instances of workers’ assembly times (in seconds) are available for your audit. 23, 18, 27, 47, 29, 24, 18, 46, 31, 36, 22, 18, 26, 32, 15, 27, 26, 21, 37, 30, 15, 19, 12, 27, 18, 17, 14, 17, 36, 42, 27, 20, 15, 26, 29, 19 Use a 5% level of significance for the following: a) Is the standard deviation of the sample data consistent with the standard time of 35 secs? b) Does the data show evidence that the mean time to assemble has shifted? c) What practical implications do your results in (a) and (b) mean for the established work standard of 35 seconds? (in 50 words) d) Give the highest possible median (to the nearest second) that we could accept with 95% certainty.
You are the cadet Industrial Engineer who was to check on work standards. A certain assembly task has a prescribed
normal time of 25 seconds, with an allowance of 10 seconds, such that it is standardized that 95% of workers should
be able to finish the task within 35 seconds. The following 36 randomly timed instances of workers’ assembly times
(in seconds) are available for your audit.
23, 18, 27, 47, 29, 24, 18, 46, 31, 36, 22, 18, 26, 32, 15, 27, 26, 21,
37, 30, 15, 19, 12, 27, 18, 17, 14, 17, 36, 42, 27, 20, 15, 26, 29, 19
Use a 5% level of significance for the following:
a) Is the standard deviation of the sample data consistent with the standard time of 35 secs?
b) Does the data show evidence that the mean time to assemble has shifted?
c) What practical implications do your results in (a) and (b) mean for the established work standard
of 35 seconds? (in 50 words)
d) Give the highest possible
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