For this assignment, you have been asked to conduct quality control for a manufacturing company. One of their products is paint, sold in 4-liter cans. While the cans are filled on an assembly line with an automatic valve, there were some reports of significant variation in the amounts. While some variation is expected, you have been tasked to see if this is just by chance, or if the machine is operating outside of normal quality control limits.

For part 2 of the assignment, you will need to write up a brief report to submit to the executive board. This should include a copy of your x-bar chart and the conclusions that you were able to make from your analysis.

Day	Obs 1	Obs 2	Obs 3	Obs 4	x-bar (per day)	LCL	Center	UCL			x-bar chart
1	4.175	3.574	3.795	4.211
2	4.254	4.012	4.119	3.866
3	4.096	3.525	3.576	4.061
4	3.966	4.499	4.271	3.705
5	3.672	4.488	3.836	3.723
6	3.916	3.967	3.782	4.015
7	4.521	4.167	3.951	4.712
8	3.472	3.452	3.994	4.015
9	3.911	4.122	4.167	3.853
10	4.693	4.092	4.126	4.306
11	4.135	3.818	4.085	3.822
12	3.833	4.001	3.538	4.083
13	4.125	3.777	3.968	4.059
14	3.895	3.741	3.897	3.66
15	4.212	4.048	4.085	3.952
16	3.921	3.948	3.981	4.097
17	4.545	3.766	3.532	4.139
18	4.276	3.992	4.258	3.708
19	4.069	4.077	4.007	3.998
20	4.168	3.891	3.751	4.107
21	4.024	3.768	4.132	4.109
22	3.61	4.195	3.718	3.954
23	3.904	3.684	4.263	3.914
24	4.12	3.805	3.978	4.165
25	4.104	4.107	4.236	3.505