a.) A preliminary study suggests that 25 percent of a food processing line worke

Question

a.) A preliminary study suggests that 25 percent of a food processing line worker's time is spent attending equipment problems; fixing breakdowns, hang-ups and jams. A work sampling is to be performed that will be +/- 15 percent accurate at a 90% confidence level. How many random observations should be taken of the worker's activity? b.) If data was collected on the time to perform all equipment corrections and an average for all corrections proved to be 10 minutes, how many corrections took place in the past year (use the preliminary p-value above)? c.) How many corrections take place per week? d.) What kind of process improvement goal might you establish that might be effective as both a long and short term goal? Explain.

Explanation / Answer

a) margin of error = z0.1 * sqrt(p (1-p) / n)

0.15^2 = 1.645^2 * 0.25*0.75/ n

n = 23 (approx)

b) 25% of the time corrections take place which is 10 minutes

Total time taken then is 100% which is 40 minutes.

25% of 365 days is 91.25 days

c) in a week, 25% is 1.75

I think some critical data is missing here as the answer is a random approximation

d) Reduce the margin of error

increase the sample size

Increase the confidence level and thus reduce the margin of error

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