To determine the standard working time for a special job, following observation

Question

To determine the standard working time for a special job, following observation data is collected: Observation 1 2 3 4 5 6 7 8 Time (in second) 17 18 15 14 13 15 16 13 a) If the person observed worked at a pace that is 80 percent of normal, and if the appropriate allowance for this task is 25 percent of job time, what should be the standard time? b) How many observations would be needed to be 95% confident that the maximum error in the observed time is 1 second? Assume that the standard deviation of the task time is 2 seconds. c) How many observations would be needed to be 99 % confident that the maximum error is 5% of the observed time? Assume that the standard deviation of the task time is 2 seconds. Thank you!! Please show the work so I know how to properly solve.

Explanation / Answer

Standard time = (observed time)(rating factor)(1+allowance)

observed time = (17+18+15+14+13+15+16+13)/8 = 15.125

standard time = 15.125*.8*(1+.25) = 15.125

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