# Fujiyama Electronics Inc. Case Study

Posted by Winnie Melda on January 30th, 2019

• Calculations of X-bar-bar

From the above table X-bar-bar is 5.10

• Calculations of control limits for x-chart are the same as calculations of average. It follows the following process:

UCL (x-bar-bar +A2)*R-bar where:

X-bar-bar = 5.10

A2 = 0.10

R-bar = 1.10

Therefore: UCL is (5.10+0.10)*1.1

= 5.72

• LCL follows the same formula but with a different sign as follows

(X-bar-bar +A2)*R-bar

(5.10-0.1)*1.1

= 5.5

Calculation of R chart control limits (Range)

UCL is calculated as D4*R-bar where 1.70*1.10 = 1.87. On the same note UCL is D3*R-bar where 0.5*1.10 = 0.55

The following are the Average and range control

Average Control Chart

Range Control Chart

The average is condensed and not sparsely distributed

Fujiyama Second Data Sample

 Sample 1 2 3 4 Average Range 1 4.65 5.54 5 5.42 4.60 0.68 2 5.77 5.26 4.76 4.79 5.15 0.89 3 5.22 5.38 5.08 4.65 5.15 1.01 4 5.47 4.68 4.56 4.7 5.31 1.81 5 5.71 4.54 4.17 4.87 5.40 1.11 6 5.24 5.58 4.72 5.41 5.08 0.73 7 4.42 5.18 4.79 4.73 4.85 0.91 8 5.14 4.26 4.71 5.48 4.82 1.54 9 4.92 5.78 5.5 5.05 5.24 0.86 10 4.92 4.8 4.75 5.59 4.78 0.76 11 5.68 5.74 4.65 5.2 4.90 1.22 12 5.43 4.81 5.27 4.96 5.31 0.86 13 4.79 6.04 4.47 5.18 4.70 1.96 14 5.03 4.66 5.25 4.46 5.01 0.84 15 4.3 5.47 4.27 4.34 5.32 1.09 16 6.07 4.97 5.51 5.02 5.12 0.62 17 5.11 4.9 5.91 4.66 5.12 1.57 18 4.5 5.24 4.86 4.35 4.91 2.74 19 4.91 4.79 5.74 5.03 6.12 0.46 20 4.65 4.71 4.81 5.32 4.85 0.79 21 4.7 5.5 6.04 4.3 5.98 0.75 22 4.41 4.75 4.95 5.11 4.60 1.20 Totals 111.04 112.58 109.77 108.62 Average 5.02 1.01

X-bar-bar new data is 5.02 while R-bar is 1.01. Therefore;

Control Limits for X-chart is:

New UCL will be (5.02+0.17)*1.01 = 5.25

New LCL will be (5.02-0.17)*1.01 = 4.90

Chart Control Limits

New UCL is D4*R-bar where 1.57*1.01=1.59

New LCL is D3*R-bar where 0.43*1.01= 0.43

New Average Control Chart

New R-bar Chart

Both charts are almost similar due to the distribution of range within similar spaces

Sherry Roberts is the author of this paper. A senior editor at MeldaResearch.Com in graduate paper writing service if you need a similar paper you can place your order from custom research paper writing service.