ACC 300 Assignment 7

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1. ​Problem 7-1
An analyst has timed a metal-cutting operation for 50 cycles. The average time per cycle was
10.7 minutes, and the standard deviation was 1.20 minutes for a worker with a performance
rating of 138 percent. Assume an allowance of 19 percent of job time. Find the standard time
for this operation. ​(Do not round intermediate calculations. Round your final answer to 2
decimal places.)
2. ​Problem 7-4
Given these observed times (in minutes) for four elements of a job, determine the observed time
(OT) for each element. ​Note​ : The second element only occurs every other cycle. ​(Round your
answers to 2 decimal places.)
CYCLE
Element 1 2 3 4 5 6
1 4.1 4.0 5.0 4.1 4.1 4.1

2. 2 - 1.5 - 2.0 - 1.4
3 3.2 3.2 3.9 3.2 3.3 3.3
4 2.7 3.7 2.7 2.8 2.8 2.8
3. ​Problem 7-5
Given these observed times (in minutes) for five elements of a job, determine the observed time
(OT) for each element. Note: Some of the elements occur only periodically. ​(Round your
answers to 2 decimal places.)
CYCLE

3. Elemen
t
1 2 3 4 5 6
1 2.1 2.0 2.6 2.1 2.1 -
2 - 1.6 - 1.0 - 1.2
3 3.4 3.5 3.3 3.8 3.4 3.3
4 4.0 - - 4.5 - -
5 1.4 1.4 2.1 1.5 1.5 1.4
4. ​Problem 7-6
Using the following data, develop an allowance percentage for a job element that requires the
worker to lift a weight of 40 pounds while (1) standing in a slightly awkward position, (2) in light

4. that is well below recommended standards, and (3) with intermittent loud noises occurring. The
monotony for this element is high. Include a personal allowance of 5 percent and a basic fatigue
allowance of 4 percent of job time. ​(Leave no cells blank - be certain to enter "0" wherever
required. Omit the "%" sign in your response.)
Percent Percent
A. Constant allowances: 4. Bad light:
1. Personal allowance 5 a. Slightly below
recommended
0
2. Basic fatigue allowances 4 b. Well below 2
B. Variable allowances: c. Very inadequate 5

5. 1. Standing allowance 2 5. Atmospheric conditions
2. Abnormal position allowance: (heat and
humidity)—variable
0-10
a. Slightly awkward 0 6. Close attention:
b. Awkward (bending) 2 a. Fairly fine work 0
c. Very awkward (lying,
stretching)
7 b. Fine or exacting 2
3. Use of force or muscular
energy
c. Very fine or very exacting 5
(lifting, pulling, or pushing): 7. Noise level:

6. Weight lifted (in pounds): a. Continuous 0
5 0 b. Intermittent—loud 2
10 1 c. Intermittent—very loud 5
15 2 d. High-pitched—loud 5
20 3 8. Mental strain:
25 4 a. Fairly complex process 1
30 5 b. Complex or wide span of
attention
4

7. 35 7 c. Very complex 8
40 9 9. Monotony:
45 11 a. Low 0
50 13 b. Medium 1
60 17 c. High 4
70 22 10.Tediousness:
a.Rather tedious 0
b. Tedious 2

8. c. Very tedious 5
5. ​Problem 7-10
The data in the table below represent time study observations for a woodworking operation.
(​Hint: See Solved Problems section.)
OBSERVATIONS (minutes per cycle)
Performanc
e
Elemen
t
Rating 1 2 3 4 5 6
1 110% 1.20 1.17 1.16 1.22 1.24 1.15
2 115 0.83 0.87 0.78 0.82 0.85 1.32*

9. 3 105 0.58 0.53 0.52 0.59 0.60 0.54
*Unusual delay, disregard time.
1. a. ​Based on the observations, determine the standard time for the operation,
assuming an allowance of 15 percent of job time. ​(Round your intermediate
calculations and final answers to 3 decimal places.)
Element Standard time
6. ​Problem 7-11
How many observations should a time study analyst plan for in an operation that has a standard
deviation of 1.7 minutes per piece if the goal is to estimate the mean time per piece to
within .2 minute with a confidence of 95.5 percent? ​(Do not round intermediate calculations.
Round up your final answer to the next whole number.)