Question

Please compute the value, upper control limit, and lower control limit for the x-bar chart, r-bar chart, p chart, and np chart.

Sample #	Observations					Defects
1	44	49	44	44	40	0
2	42	46	51	51	42	2
3	45	45	49	49	46	2
4	40	39	42	42	47	7
5	44	51	53	53	44	2
6	41	44	43	43	46	8
7	40	44	46	46	48	3
8	54	49	48	48	40	11
9	48	47	44	44	42	0
10	45	51	42	42	46	2
11	43	46	49	49	47	2
12	44	50	49	49	44	2
13	41	39	38	38	44	2
14	40	39	44	44	44	1
15	42	41	45	45	44	1
16	46	45	42	40	44	3
17	47	44	43	42	51	2
18	44	46	50	46	49	0
19	46	52	51	47	42	3
20	48	43	45	44	53	1
21	40	39	40	46	43	5
22	42	39	42	48	46	2
23	46	41	46	40	48	3
24	47	45	47	42	44	6
25	44	44	44	46	42	6

p=0.03

Answer 1

The control limits for the x-bar and R-chart are:

Sample size	5
Number of samples	25
	Mean	Range
Upper Control Limit, UCL	49.10	15.39
Center	44.90	7.28
Lower Control Limit, LCL	40.70	0.00

The control charts are:

The sample size is not mentioned for the p and np charts.