BY HAND ONLY. SHOW ALL STEPS FOR CREDIT. Thank you! The net weight (in oz) of a
ID: 3207586 • Letter: B
Question
BY HAND ONLY. SHOW ALL STEPS FOR CREDIT. Thank you!
The net weight (in oz) of a dry bleach product is to be monitored by Xand R control charts using a sample size of n 35. Data for 20 preliminary samples are shown in Table 2. Table 2: Data for 20 preliminary samples Sample Number x2 x, 1 15.8 16.3 16.2 16.1 16.6 2 16.3 15.9 15.9 16.2 164 16.1 16.2 16.5 16.4 16.3 4 16.3 16.2 15.9 16.4 16.2 16.1 16.1 16.4 16.5 16.0 6 16.1 15.8 16.7 16.6 16.4 16.1 16.3 16.5 16.1 16.5 8 16.2 16.1 16.2 16.1 16.3 9 16.3 16.2 16.4 16.3 16.5 10 16.6 16.3 16.4 16.1 16.5 11 16.2 16.4 15.9 16.3 16.4 12 15.9 16.6 16.7 16.2 16.5 13 16.4 16.1 16.6 16.4 16.1 14 16.5 16.3 16.2 16.3 164 15 16.4 16.1 16.3 16.2 16.2 16 16.0 16.2 16.3 16.3 16.2 17 16.4 16.2 16.4 16.3 16.2 18 16.0 16.2 16.4 16.5 16.1 19 16.4 16.0 16.3 16.4 16.4 20 16.4 16.4 16.5 16.0 15.8Explanation / Answer
a)
Control limits for s-Chart:
UCL = B4*S(bar)=2.09*0.196 =0.419
CL = S(bar)=0.196
LCL = B3 S(bar)=0*0.196=0
It can be concluded that all the observations are insidethe control limits. Hence, the process variability is in control.
b)
S (bar) = 3.93 / 20 = 0.1965 and
x (Double bar) = 325.36 / 20 = 16.268
c) question with a Chi-Square test of hypothesis at the 5% level of significance.
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