Installing a muffler at Barut Garage, Inc. involves a five work
tasks. Azra has timed workers performing these tasks seven times,
with the results (in minutes) shown in the following
table.
No |
Tasks |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
PR |
1 |
Select correct mufflers |
5 |
4 |
6 |
3 |
4 |
5 |
5 |
120 |
2 |
Remove old muffler |
8 |
8 |
8 |
6 |
8 |
7 |
6 |
85 |
3 |
Install new muffler |
15 |
13 |
15 |
14 |
12 |
15 |
13 |
85 |
4 |
Inspect the work |
4 |
4 |
3 |
3 |
3 |
3 |
3 |
110 |
5 |
Complete paperwork |
9 |
8 |
9 |
8 |
10 |
7 |
10 |
110 |
Given that Azra does not want an error of more than 0.07 and a
confidence level less than 0.85 answer the following:
Provide the z-score: Round to the nearest hundredth, for
example 4.22
Does the number of observations for the following tasks warrant
such confidence level?
Enter YES or NO.
Task # 3 Install new
muffler :
Task # 5 Complete paperwork :
What are the required numbers of observations for these tasks?
Enter the number.
Task # 3 Install new
muffler :
Task # 5 Complete paperwork :
Assume that the number of observations for the following tasks
justifies the confidence level and accuracy mentioned above. Also
note that Azra factors in a total of fatigue and personal allowance
of 0.15 applied to job time. Provide the following results from
your solution:
Task |
Normal Time* |
Standard Time* |
# 2 Remove old muffler |
min |
min |
# 4 Inspect the work |
min |
min |
Provide the total standard time* for the whole
job: minutes.
*Round to the nearest hundredth, for example 8.45 minutes
Task | 1 | 2 | 3 | 4 | 5 | 6 | 7 | PR | mean | NT |
1 | 5 | 4 | 6 | 3 | 4 | 5 | 5 | 120 | 4.571429 | 5.485714 |
2 | 8 | 8 | 8 | 6 | 8 | 7 | 6 | 85 | 7.285714 | 6.192857 |
3 | 15 | 13 | 15 | 14 | 12 | 15 | 13 | 85 | 13.85714 | 11.77857 |
4 | 4 | 4 | 3 | 3 | 3 | 3 | 3 | 110 | 3.285714 | 3.614286 |
5 | 9 | 8 | 9 | 8 | 10 | 7 | 10 | 110 | 8.714286 | 9.585714 |
for 0.85 confidence level, z score will be 0.935
Number of observations needed for a task =[ z xSD / h x Mean]2
where h is the tolerance level
for task 3 N= [ 0.935 x1.2149 / 0.07x13.857]2 = 1.37 =2
hence the process does not warrant such high confidence level,since current number of observations is 7
For task 5 N = [ 0.935 x 1.1126 / 0.07x8.7142]2 = 2.9
Hence the process does not warrant such high confidence level, since current number of observations is 7
Task 2 normal time = rating * mean time = 6.1928
Task 2 standard time = 6.1928 /1- fatigue allowance = 6.1928 /1-0.15 =7.2856
Task 4 normal time = 3.6142
Task 4 standard time = 3,6142 / 1- 0.15 =4.252
Normal time for complete task = 36.657
Standard time for complete task = 36.657 /1-0.15 = 43.1258
Installing a muffler at Barut Garage, Inc. involves a five work tasks. Azra has timed workers...
Please solve in MS Excel only Installing a muffler at Barut Garage, Inc. involves a five work tasks. Azra has timed workers performing these tasks seven times, with the results (in minutes) shown in the following table. No Tasks 1 2 3 4 5 6 7 PR 1 Select correct mufflers 3 3 6 3 5 3 3 85 2 Remove old muffler 8 5 7 5 7 5 8 120 3 Install new muffler 13 11 11 12 14...
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