Solve the following manufacturing problem managing parts variability using Minitab. Show all related entry steps needed in Minitab to enter data and facilitate a solution. Use descriptive statistics and inferential statistics to address Crest Tool to gain insight on the customer's complaint. Test the hypothesis that the critical part is out of spec. Describe how control charts are related to hypothesis testing.

Extend your explanation further using a new process. Crest Tools received a complaint from a customer that a critical part diameter may be out of specification on the most profitable assembly in the plant. The diameter specification is 0.5 0.010 inch. For this process, only five assemblies are produced per day, and you need twenty samples. You are tasking your quality team to collect diameter data for the five samples per day for the next twenty days. The data is recorded as deviations from the nominal half inch measurement and recorded in thousandths of an inch. Discuss methods to maximize tool life on a particular production machine to save the considerable costs of replacing cutting tools.

sample #	x1	x2	x3	x4	x5
1	-3	5	-2	1	3
2	0	5	-6	-2	3
3	-5	1	2	3	2
4	-1	-1	3	-2	5
5	2	-4	5	2	1
6	0	0	4	-4	2
7	0	0	2	-2	-1
8	7	-3	3	-1	0
9	0	0	2	-2	1
10	1	2	3	1	5
11	4	0	2	0	2
12	13	12	13	11	14
13	3	-3	0	1	1
14	3	-1	5	-1	-3
15	1	-1	5	4	0
16	0	0	3	-1	0
17	2	2	3	3	-2
18	1	-2	5	3	1
19	5	-1	4	2	0
20	5	0	0	3	1

Day	Number nonconforming parts
1	2
2	4
3	3
4	2
5	6
6	12
7	5
8	1
9	2
10	2