ezto.mheducat McGraw-Hill Connect Student Performance Assignment 5- Chapter 1 Pr

Question

ezto.mheducat McGraw-Hill Connect Student Performance Assignment 5- Chapter 1 Problem 10-4 Computer upgrades have a nominal time of 80 minutes. Samples of five observations each have beern taken, and the results are as listed SAMPLE 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 80.6 788 81.1 Factors for three-sigma control limits for and R charts FACTORS FOR R CHARTS Number o Observations in Factor for Chart, Lower Control Limit, 03 Upper Control Limit, 1.88 1.02 0.73 0.58 0.48 0.42 0.37 0.34 0.31 0.29 0.27 0.25 0.24 0.22 0.21 0.20 0.19 0.19 0.18 0.08 0.14 0.18 0.22 0.26 0.28 0.31 0.33 0.35 0.36 0.38 0.39 0.40 0.41 3.27 2.57 2.28 2.11 2.00 1.92 1.86 1.82 1.78 1.74 1.72 1.69 1.67 1.65 .64 1.62 1.61 1.60 1.59 10 14 16 17 20 a. Using factors from above table, determine upper and lower control limits for mean and range charts Round your intermediate calculations and final answers to 2 decimal places. Leave no cells blank- be certain to enter "O" wherever required.) Mean Chart Range Chart

Explanation / Answer

Number of observation ineach sample (n) = 5

Average of sample = Average of all values of a sample

Range of sample = Maximum value in a sample - Minimum value in a sample

X-bar = Average of (Sample Average) = Average(79.48,80.14,80.14,79.60,80.02,80.38) = 79.96

R-bar = Average of (Sample Range) = Average(2.6,2.3,1.2,1.7,2,1.4) = 1.87

Mean Chart:

For n = 5, A2 = 0.58

UCL = X-bar + A2*R-bar = 79.96 + 0.58*1.87 = 81.04

LCL = X-bar - A2*R-bar = 79.96 - 0.58*1.87 = 78.88

Range Chart:

For n = 5, D3 = 0, D4 = 2.11

UCL = D4*R-bar = 2.11*1.87 = 3.94

LCL = D3*R-bar = 0*1.87 = 0.00

b) Process is not in control as few values are lower than LCL of 78.88 and higher than UCL

Sample 1 2 3 4 5 6 79.20 80.50 79.60 78.90 80.50 79.70 78.80 78.70 79.60 79.40 79.60 80.60 80.00 81.00 80.40 79.70 80.40 80.50 78.40 80.40 80.30 79.40 80.80 80.00 81.00 80.10 80.80 80.60 78.80 81.10 Average of sample 79.48 80.14 80.14 79.60 80.02 80.38 Range 2.60 2.30 1.20 1.70 2.00 1.40

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