Question

QC.58 Dairy Man Industries produces a variety of dairy products such as cheese, sour cream and yogurt. One of their more popular products is a 3-pound block of sliced American cheese. They have a high-speed manufacturing line that automatically slices, stacks, and packages this product. Each hour their automated equipment will sample 20 blocks of cheese to make sure they are close in weight to the target value of 48.1 ounces and within control limits. The table below contain the average weight (in ounces) and the range for the 20 blocks sampled during each of the past 12 hours:

Hour	Avg Weight (ounces)	Range (ounces)
Hour 1	48.15	0.64
Hour 2	47.98	0.92
Hour 3	48.00	0.64
Hour 4	48.20	0.96
Hour 5	48.20	0.84
Hour 6	48.05	0.84
Hour 7	48.05	0.80
Hour 8	48.00	0.72
Hour 9	48.00	0.74
Hour 10	47.95	0.96
Hour 11	48.20	0.40
Hour 12	47.95	0.92

Observations x-charts R-chart LCL Factor: D 0 0 0 0 0 0.076 0.136 0.184 0.223 0.256 0.284 0.308 0.329 0.348 0.414 R-Chart UCL Factor: D 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 (sample size)Factor 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.285 0.266 0.249 0.235 0.223 0.180 4 6 10 12 13 14 15 20 1.744 1.716 1.692 1.671 1.652 1.586 Factors for Control Charts

Using this information (above) and the table at the top of this problem (Factors for Control Charts), set up an x-bar chart and an r-chart.

What is the sample mean for this data? (Display your answer to two decimal places.)

In this case, what should be used as the target value for the construction of the x-bar chart? (In the answer field below, write the number that corresponds to your answer.)

1. The sample mean (computed in the previous question)
2. The process target (48.1 ounces)
3. The average between the process target and the sample mean

What is the average range for this data? (Display your answer to two decimal places.)

What is the upper control limit for the x-bar chart? (Display your answer to twodecimal places.)

What is the lower control limit for the x-bar chart? (Display your answer to twodecimal places.)

What is the upper control limit for the r-chart? (Display your answer to two decimal places.)

What is the lower control limit for the r-chart? (Display your answer to two decimal places.)

Answer 1

19.38 chast 12 148-061. am9e R-R38 1 2. rN Table, volant geven..ㅎ 스 0,266 D3 =0,284

CL = 48-06 48-06千0-266 X 0.78 = 149. 1061. St. 142-111, 느147-8521 |4795| 0.78 K1.716. っ11.838|.er 11:34 = 0.78 X 0.284

Hope this helps :)

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