Ten samples of n= 5 were collected to construct an F chart. The sample mean and

Question

Ten samples of n= 5 were collected to construct an F chart. The sample mean and range for each sample are shown in the table below Sample MeanRange SampleMean Rage 215 204 160 226 224 205 184 207 212 20 27 19 24 Calculate the empirical lower and upper control limits for the chart. (You will need a table of control chart factors.) Subgroup Size d. 1.128 1.693 2.059 2.326 2.534 2.704 2.847 2.970 3.267 2.574 2.282 2.114 2.004 1.924 1.864 1.816 0.076 0.136 0.184 O 196.46, 217.34 O 171.81, 241.39 O 188.03, 225.17 O 163.64, 250.56

Explanation / Answer

for n=5 ; criical value d2 =2.326

hence

lower limit =Xbar -d2*Rbar =206.9-2.326*18.1= 163.64

upper limit =Xbar +d2*Rbar =206.9+2.3626*18.1= 250.56

correct option is : 163.64 ; 250.56

sample mean range 1 215 15 2 204 20 3 160 10 4 226 19 5 232 24 6 224 21 7 205 27 8 184 12 9 207 16 10 212 17 total 2069 181 average 206.9 18.1

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.