Chapter 10, Problem 2.2CQ

Summary Introduction

To determine: The difference shown by the second set of sample from the first one.

Introduction

Company TT is a division of company DM. It was about to launch a new product. Ms. MY, the production manager, asked her assistant JM to check the capability of the oven. JM collected 18 random samples from each of the 20 pieces. After the analysis, the samples proved to be incapable based on the specification width of 1.44 cm.

Table 1

Sample	Mean	Range
1	45.01	0.85
2	44.99	0.89
3	45.02	0.86
4	45	0.91
5	45.04	0.87
6	44.98	0.9
7	44.91	0.86
8	45.04	0.89
9	45	0.85
10	44.97	0.91
11	45.11	0.84
12	44.96	0.87
13	45	0.86
14	44.92	0.89
15	45.06	0.87
16	44.94	0.86
17	45	0.85
18	45.03	0.88

Quiet disappointed with the end results, the manager was figuring out ways to improve the process and free the capital expenditure of $10,000. A former professor suggested going for more samples with less sample sizes. JM conducted the analysis on 27 samples of 5 observations each and the results are tabulated below:

Table 2

Sample	Mean	Range
1	44.96	0.42
2	44.98	0.39
3	44.96	0.41
4	44.97	0.37
5	45.02	0.39
6	45.03	0.4
7	45.04	0.39
8	45.02	0.42
9	45.08	0.38
10	45.12	0.4
11	45.07	0.41
12	45.02	0.38
13	45.01	0.41
14	44.98	0.4
15	45	0.39
16	44.95	0.41
17	44.94	0.43
18	44.94	0.4
19	44.87	0.38
20	44.95	0.41
21	44.93	0.39
22	44.96	0.41
23	44.99	0.4
24	45	0.44
25	45.03	0.42
26	45.04	0.38
27	45.03	0.4