Question

1. The net weight (in oz.) of a dry bleach product is to be monitored by  and R  and  and S  control charts using a sample size of n = 5. Data for 20 preliminary samples are shown below.

2. Subgroup Number	X1	X2	X3	X4	X5
   1	12	9	13	15	12
   2	10	7	16	14	8
   3	7	8	10	6	9
   4	8	9	15	13	7
   5	9	10	7	13	16
   6	12	11	10	10	8
   7	16	10	8	9	12
   8	17	8	10	14	13
   9	9	7	8	12	10
   10	15	16	10	13	12
   11	8	12	14	16	11
   12	16	13	9	11	8
   13	16	11	13	15	10
   14	17	13	10	12	9
   15	11	9	8	16	11
   16	15	13	11	14	12
   17	9	8	12	10	14
   18	15	12	10	11	13
   19	8	6	9	12	10
   20	13	8	11	15	6

   Determine the trial central line and control limits for the  and S (24 points).

Answer 1

I have used minitab for plotting R and S chart .

Steps for plotting R chart :

1) Open worksheet file containing the data.

2) Stat -> select Control Charts -> Variable Charts for subgroups-> R chart -> ok.

Choose the option, " Observations for a subgroup are in one row of columns.

Select X1-X5 -> ok.

Steps for plotting S chart ,

1) Select Stat -> Control Charts-> Variable Charts for Subgroups -> S chart -> ok