Question

A time study was conducted on a job that contains four elements. The observed times and performance ratings for six cycles are shown in the following table.

			OBSERVATIONS (minutes per cycle)
Element	Performance Rating			1			2			3			4			5			6
1		90	%		0.44			0.50			0.43			0.45			0.44			0.46
2		85			1.50			1.56			1.47			1.51			1.49			1.52
3		110			0.84			0.89			0.77			0.83			0.86			0.80
4		100			1.10			1.14			1.08			1.16			1.16			1.26

a. Determine the average cycle time for each element. (Round your answers to 3 decimal places.)

Element	Average cycle
1
2
3
4

b. Find the normal time for each element. (Round your answers to 3 decimal places.)

Element	Normal time
1
2
3
4

c. Assuming an allowance percentage of 15 percent of job time, compute the standard time for this job. (Round your answers to 3 decimal places.)

Element	Standard time
1
2
3
4

Answer 1

1.

a.

Average observed cycle time = (Sum of times recorded to perform each element)/ (number of cycles observed)

Element	Average cycle
1	(0.44+0.5+0.43+0.45+0.44+0.46)/6= 0.453
2	(1.5+1.56+1.47+1.51+1.49+1.52)/6= 1.508
3	(0.84+0.89+0.77+0.83+0.86+0.8)/6= 0.832
4	(1.1+1.14+1.08+1.16+1.16+1.26)/6= 1.150

b.

Normal time = (Average observed cycle time)*(performance rating factor)

Based on performance rating factor given for each element, we will calculate.

Element	Normal time
1	0.453*90% = 0.408
2	1.508*85%= 1.282
3	0.832*110%=0.915
4	1.15*100%= 1.15

c.

Add normal time for each element to develop total normal time for the task.

Standard time = Total normal time/ (1- Allowance time)

As given allowance time = 15%

Element	Standard time
1	0.408/ (1-0.15)= 0.480
2	1.282/ (1-0.15)= 1.508
3	0.915/ (1-0.15)= 1.076
4	1.15/ (1-0.15)= 1.353
Overall	(0.408 +1.282+0.915+1.15)/(1-0.15)= 4.418

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