Question

1. Identify and describe a process in your own organisation that can be used to generate relevant data.

2. Choose a quantitative variable associated with the process and discuss a relevant research question that could be investigated using the data.

3. Generate a data set for the quantitative variable comprising of at least 40 values.

4. Analyse the data set to include both relevant visual representations (graphs) and reduction methodologies (summary statistics)

5. State clearly the outcomes of your analysis.

Answer 1

These data will be used to construct a p control chart the subgroup size is n=100 the p values for each subgroup have been calculated and are shown in the table for in the 100 invoices inspected thus p=np/n=22/100=0.22 or 22% the p valus for the other days are calculates similarly

Cl=p

Ucl= p+3under root(pq/n)

Lcl= p-3under rrot(pq/n

P chart

Day Number	Invoices speed(n)	Number defective(np)	Fraction defective(p)	Q
1	100	22	0.22	0.78
2	100	23	0.23	0.77
3	100	25	0.25	0.75
4	100	36	0.36	0.64
5	100	25	0.25	0.75
6	100	24	0.24	0.76
7	100	45	0.45	0.55
8	100	21	0.21	0.79
9	100	25	0.25	0.75
10	100	28	0.28	0.72
11	100	26	0.26	0.74
12	100	21	0.21	0.79
13	100	23	0.23	0.77
14	100	26	0.26	0.76
15	100	36	0.36	0.64
16	100	35	0.35	0.65
17	100	38	0.38	0.62
18	100	39	0.39	0.61
19	100	21	0.21	0.79
20	100	23	0.23	0.77
21	100	32	0.32	0.68
22	100	32	0.32	0.68
23	100	30	0.30	0.70
24	100	23	0.23	0.77
25	100	23	0.23	0.77
26	100	25	0.25	0.75
27	100	21	0.21	079.
28	100	22	0.22	0.78
29	100	23	0.23	0.77
30	100	25	0.25	0.75
31	100	23	0.23	0.77
32	100	25	0.25	0.75
33	100	32	0.32	0.68
34	100	32	0.32	0.68
35	100	32	0.32	0.68
36	100	32	0.32	0.68
37	100	31	0.31	0.69
38	100	30	0.30	0.70
39	100	30	0.30	0.70
40	100	30	0.30	0.70