A microbrewery tracks its output in gallons over a five hour period for each of seven days. Their data is in the table below, and they went ahead and calculated the averages and ranges for the individual samples and the overall averages Their data and the factors tables can be found below. Calculate the upper (LCL) and lower (UCL) control limits for X bar, and R charts for their process.Day(X values)X̅ R1464945474847.0 42435246524447.4 93455546514348.0 124394442434041.6 55455048504247.0 86444845454044.4 87414452504746.8 11 X̿ =46.03R̅8.14 Xbar chart - LCL = 40.48, UCL=46.25, R chart LCL=0, UCL=14.01Xbar chart - LCL = 44.21, UCL=48.41, R chart LCL=0.49, UCL=17.18Xbar chart - LCL = 42.61, UCL=49.45, R chart LCL=0.65, UCL=15.63Xbar chart - LCL = 44.21, UCL=51.62, R chart LCL=0, UCL=17.18Xbar chart - LCL = 41.31, UCL=50.75, R chart LCL=0, UCL=17.18

Step 1:To calculate the upper (UCL) and lower (LCL) control limits for the X̄ (X-bar) and R charts,…

Answered: A microbrewery tracks its output in…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A microbrewery tracks its output in gallons over a five hour period for each of seven days. Their data is in the table below, and they went ahead and calculated the averages and ranges for the individual samples and the overall averages Their data and the factors tables can be found below. Calculate the upper (LCL) and lower (UCL) control limits for X bar, and R charts for their process.

Day	(X values)	X̅		R
1	46	49	45	47	48	47.0		4
2	43	52	46	52	44	47.4		9
3	45	55	46	51	43	48.0		12
4	39	44	42	43	40	41.6		5
5	45	50	48	50	42	47.0		8
6	44	48	45	45	40	44.4		8
7	41	44	52	50	47	46.8		11
					X̿ =	46.03	R̅	8.14

Xbar chart - LCL = 40.48, UCL=46.25, R chart LCL=0, UCL=14.01

Xbar chart - LCL = 44.21, UCL=48.41, R chart LCL=0.49, UCL=17.18

Xbar chart - LCL = 42.61, UCL=49.45, R chart LCL=0.65, UCL=15.63

Xbar chart - LCL = 44.21, UCL=51.62, R chart LCL=0, UCL=17.18

Xbar chart - LCL = 41.31, UCL=50.75, R chart LCL=0, UCL=17.18

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