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1. A production job was being timed to determine a baseline measure of the produ

ID: 337931 • Letter: 1

Question

1. A production job was being timed to determine a baseline measure of the productivity of the job.  The following times were taken for 5 cycles of the job.

Cycle

Assembly Time

(in hundredths)

1

12

2

14

3

13

4

12

5

14

a) Average Time =

-

If the standard deviation of the assembly times is 1, approximately how many samples need to be taken to be 95% sure that the accuracy of the time study is within 5% of the true mean value.

b) While observing the employee performing the task above, the employee was given a performance rating of 90% while the company generally grants a 20% allowance for PDF (personal, fatigue, and delay) allowances. What would be the “normal time” for the task?

c) What would be the “standard time” for the task?

d) What would be the production rate for the job for 8 hours (480 minutes = an 8 hour day)?

e) If the employee makes $12/hour for an 8 hour day, what would be the labor cost per unit of production?

Cycle

Assembly Time

(in hundredths)

1

12

2

14

3

13

4

12

5

14

a) Average Time =

-

Explanation / Answer

1. A production job was being timed to determine a baseline measure of the productivity of the job.  The following times were taken for 5 cycles of the job.

Cycle

Assembly Time

(in hundredths)

1

12

2

14

3

13

4

12

5

14

a) Average Time =

-

If the standard deviation of the assembly times is 1, approximately how many samples need to be taken to be 95% sure that the accuracy of the time study is within 5% of the true mean value.

b) While observing the employee performing the task above, the employee was given a performance rating of 90% while the company generally grants a 20% allowance for PDF (personal, fatigue, and delay) allowances. What would be the “normal time” for the task?

c) What would be the “standard time” for the task?

d) What would be the production rate for the job for 8 hours (480 minutes = an 8 hour day)?

e) If the employee makes $12/hour for an 8 hour day, what would be the labor cost per unit of production?

Cycle

Assembly Time

(in hundredths)

1

12

2

14

3

13

4

12

5

14

a) Average Time =

-