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(1) Given the following information, determine the sample size needed if the standard time estimate is to be within 5 percent of the true mean 99...

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(1) Given the following information, determine the sample size needed if the standard time estimate is to be within 5  percent of the true mean 99 percent of the time. Work Element Standard  Deviation  (minutes) Mean  Observed  Time  (minutes) 1 0.20 1.10 2 0.10 0.80 3 0.15 0.90 4 0.10 1.00 (Round your answer to the nearest whole number, the tolerance is +/-1.)  _____ (2) Using the following information:  Work Element Standard  Deviation  (minutes) Mean  Observed  Time  (minutes) 1 0.60 2.40 2 0.20 1.50 3 1.10 3.85 4 0.85 2.55 5 0.40 1.60 6 0.50 2.50 calculate the sample size needed if the standard time estimate is to be within 5 percent of the true mean 99 percent of the  time.  _____    (Round up your answer to the nearest whole number, the tolerance is +/-1.) Calculate the percentage increase in sample size for 1 percent higher precision: _____%     (Round your answer to 1  decimal place, the tolerance is +/-0.5.) (3) Frank’s Fabricators has collected the following information to develop a standard time for producing their high- volume Navigator III, a universal remote control. All of the times are in minutes.   Element (in Minutes) Observations 1 2 3 4 5 6 Cycle 1 1.10 3.00 0.92 1.23 1.46 1.80 Cycle 2 1.08   0.88 1.30 1.64 1.78 Cycle 3 1.15 3.20 0.85 1.26 1.55 1.76 Cycle 4 1.16   0.88 1.33 1.52 1.80 Cycle 5 1.07 3.10 0.90 1.28 1.62 1.82 Cycle 6 1.10   0.94 1.30 1.60 1.82 Rating Factor 0.95 0.90 1.05 1.0 0.85 1.10 Frequency 1.00 0.50 1.0 1.0 1.0 1.0 Calculate the mean observed time for each element. (Round your answers to 3 decimal places, the tolerance is +/-0.001.) Element Mean Observed Time 1
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2 3 4 5 6 Calculate the normal time for each element. (Round your answers to 3 decimal places, the tolerance is +/-0.001. Do not round your intermediate computations.) Normal Time  element 1  = minutes Normal Time  element 2  = minutes Normal Time  element 3  = minutes Normal Time  element 4  = minutes Normal Time  element 5  = minutes Normal Time  element 6  = minutes Using an allowance factor of 15 percent of job time, calculate the standard time for each element. (Round your answers to 3 decimal places, the tolerance is +/-0.001. Do not round your intermediate computations.) ST  element 1  = minutes ST  element 2  = minutes ST  element 3  = minutes ST  element 4  = minutes ST  element 5  = minutes ST  element 6  = minutes Calculate the standard time for completing one Navigator III.     (Use your answer from the previous part to answer this question. Round your answer to 3 decimal places, the   tolerance is +/-0.006. ) If an employee is able to produce at a rate equal to the standard (100 percent efficiency), how many units should she  produce each hour?     (Round your answer to 2 decimal places, the tolerance is +/-0.01.) If an employee is working at 90 percent efficiency, how many units should she complete in one hour?     (Round your answer to 2 decimal places, the tolerance is +/-0.01.) If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, what is the new standard  time for the Navigator III?     (Round your answer to 2 decimal places, the tolerance is +/-0.01.) If the company builds 20,000 Navigator IIIs each month, how much less time does it require using the new process? minutes     (Round your answer to the nearest whole number. Do not round your intermediate computations.) (4) You have twenty-five observations of university policeman Sgt. Jack B. Nimble during his normal workday. The results  are shown here. Assume that the estimated proportion is to be within 5 percent of the true proportion 95 percent of the time. Activity Observed Number of Times  Observed Doing paperwork  9 On the phone  3 Eating doughnuts  3
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(1) Given the following information, determine the sample size needed if the standard time estimate is to be within 5 percent of the true mean 99 percent of the time. Work Element
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