Quality Textiles International Scenario
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Quality Textiles International Scenario
Since Quality Textiles quality assurance department checks their product regularly, they know that their process for fabric weight has a mean of 2.73 oz/in² and a standard deviation of 0.31. Goetsch and Davis (2010), wrote ” UCL and LCL represent the ±3σ limits of the process averages and are drawn as dashed lines on the control charts” (p.450). They further wrote that “99.73% of all sample values will be found between + 3σ and -3σ” ( p. 366). Based on this information the following limits can be derived:
Lower Control Limit (LCL) = 2.73 – 3(.31) = 1.80 ( LCL = μ – 3σ)
Upper Control Limit (UCL) = 2.73 + 3(.31) = 3.66 ( UCL = μ + 3σ)
The table presented below provides the data retrieved from the University of Phoenix student website. The mean, standard deviation, and histogram of the provided data follow.
# of Samples
x values
C.1xC2
d
d²
Col 1 x Col5
-1.06
-0.98
-0.92
-0.66
-0.62
-0.57
-0.55
-0.54
-0.52
-0.41
-0.37
-0.36
-0.35
-0.29
-0.27
-0.24
-0.23
-0.19
-0.18
-0.17
-0.12
-0.08
-0.04
n= 50
∑ X=149.06
∑ d² =13.39
Mean (μ)
Standard