menu
bartleby
search
close search
Hit Return to see all results

Computer upgrade times (in minutes) are being evaluated. Samples of five observations each have been taken, and the results are as listed. Using factors from Table 10.3, determine upper and lower control limits for mean and range charts, and decide if the process is in control. SAMPLE12345679.280.579.678.980.579.778.878.779.679.479.680.680.081.080.479.780.480.578.480.480.379.480.880.081.080.180.880.678.881.1

Question

Computer upgrade times (in minutes) are being evaluated. Samples of five observations each have been taken, and the results are as listed. Using factors from Table 10.3, determine upper and lower control limits for mean and range charts, and decide if the process is in control.

 

SAMPLE

1

2

3

4

5

6

79.2

80.5

79.6

78.9

80.5

79.7

78.8

78.7

79.6

79.4

79.6

80.6

80.0

81.0

80.4

79.7

80.4

80.5

78.4

80.4

80.3

79.4

80.8

80.0

81.0

80.1

80.8

80.6

78.8

81.1

check_circleAnswer
Step 1

Determine the average of mean and range:

А
В
C
Е
F
G
3
1
2
3
6
4
79.6 78.980.5 |79.7
79.6 79.4 79.6 80.6
81.080.479.780.480.5
78.4 80.480.3 79.480.8|80.0
81.080.180.8 80.678.881.1
79.48 80.14 80.14| 79.6 | 80.02 |80.38
79.2 80.5
4
78.7
78.8
5
80.0
7
9 Mean
10 Average of mean
11 Range
12 Average of range
79.96
1.7
2.6
2.3
1.2
2
1.4
1.87
D
G
A
6
79.7
8S0.6
S0 5
80
81.1
|-AVERAGE(G4GS)
1
79 2
78 8
S0.5
78.7
81
s0 4
80.1
-AVERAGE(C4CS)
79.6
79.6
S0 4
803
808
AVERAGE(D4DS)
78.9
79.4
79.7
79.4
80.6
=AVERAGE(E4 ES)
80.5
79.6
804
6
78.4
S1
-AVERAGE(B4BS)
RAGE(B9
|-MAX(B4 BS ) -MIN(B4BS )- MAX(C4CS)-MIN(C4CS) -MAX(D4D8 )-MIND4D8 ) - MAXEAES)-MINEAES) -MAXF4F8)-MINF4FS) MAXG4GS)-MIN(G4G8)
78.8
=AVERAGE(F4FS)
9 Mean
10 Average of mean
11 Range
12 Average of range |-AVERAGE(B11G11)
help_outline

Image Transcriptionclose

А В C Е F G 3 1 2 3 6 4 79.6 78.980.5 |79.7 79.6 79.4 79.6 80.6 81.080.479.780.480.5 78.4 80.480.3 79.480.8|80.0 81.080.180.8 80.678.881.1 79.48 80.14 80.14| 79.6 | 80.02 |80.38 79.2 80.5 4 78.7 78.8 5 80.0 7 9 Mean 10 Average of mean 11 Range 12 Average of range 79.96 1.7 2.6 2.3 1.2 2 1.4 1.87 D G A 6 79.7 8S0.6 S0 5 80 81.1 |-AVERAGE(G4GS) 1 79 2 78 8 S0.5 78.7 81 s0 4 80.1 -AVERAGE(C4CS) 79.6 79.6 S0 4 803 808 AVERAGE(D4DS) 78.9 79.4 79.7 79.4 80.6 =AVERAGE(E4 ES) 80.5 79.6 804 6 78.4 S1 -AVERAGE(B4BS) RAGE(B9 |-MAX(B4 BS ) -MIN(B4BS )- MAX(C4CS)-MIN(C4CS) -MAX(D4D8 )-MIND4D8 ) - MAXEAES)-MINEAES) -MAXF4F8)-MINF4FS) MAXG4GS)-MIN(G4G8) 78.8 =AVERAGE(F4FS) 9 Mean 10 Average of mean 11 Range 12 Average of range |-AVERAGE(B11G11)

fullscreen
Step 2

Determine upper control limit and lower control limit for X-bar chart:

UCL XAR
=79.96 0.58 x 1.87
=81.04
LCL XAR
79.96-0.58x1.87
= 78.88
help_outline

Image Transcriptionclose

UCL XAR =79.96 0.58 x 1.87 =81.04 LCL XAR 79.96-0.58x1.87 = 78.88

fullscreen
Step 3

Determine upper control limit and lower cont...

UCL2 DxR
- 2.11x 1.87
=3.95
LCL2 DxR
=0x1.87
= 0
help_outline

Image Transcriptionclose

UCL2 DxR - 2.11x 1.87 =3.95 LCL2 DxR =0x1.87 = 0

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Business

Operations Management

Related Operations Management Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: When Ford CEO Alan Mulally arrived at the company in 2006 after a long career at Boeing, he was shoc...

A: Part A.Prior to the arrival of the Allan Mullaly, Ford motors was country-specific and manufactures ...

question_answer

Q: 15

A: Since the production of each unit of A requires 3 units of B and 2 units of C. Hence the requirement...

question_answer

Q: While monitoring the forecast values in last 5 months, the tracking signals are consistently coming ...

A: The tracking signal is given the ratio of the cumulative forecast error to the average error and a v...

question_answer

Q: Which manufacturing strategies are used in a fast-food business? How does this affect the lead time ...

A: Determine the manufacturing strategy used in the fast-food business:"Assemble to order" is the manuf...

question_answer

Q: Define 2 different archetypes Limits of Growth and Shifting the Burden. What is their relationship? ...

A: Different types of Archetypes:1)Limits to growth2)shifting the Burden3)Escalation4)Fixes that fail5)...

question_answer

Q: Summarize two concerns regarding cash balance plans.

A: Cash-balance plans The cash-balance plan refers to the pension plans where the employees’ account is...

question_answer

Q: A new training program has been put into effect and here are teh results: X = Numbers of hours of tr...

A: The correlation coefficient between X and Y is: -0.96943. Hence there is almost a direct relationshi...

question_answer

Q: There is very high level of performance ambiguity in firms pursuing a ________ strategy compared to ...

A: Performance ambiguity:Performance ambiguity would incur when the sources for the bad performance of ...

question_answer

Q: I need assistance with the following questions in: Project Scheduling. This is a follow up to a ques...

A: Given the activity sequence and timings the following are the paths (in AOA notation):A-D (length 77...

Sorry about that. What wasn’t helpful?