What do the charts suggest about the stability of the filling process ? Justify your answer using short rule criteria.

STAT2112.10 Quiz # 5 NAME:____________________GWID:G_____________
Fall 2022 sba
Question 1. A machine is newly installed in a factory to fill bags of flour. The standard weight of each bag of flour is 2000 g’s. The installing company operates the machine for one day in order to test and five samples of the output from the machine are recorded every hour. The average results for each of the five samples are as follows: 1996, 2090, 2010, 2008, 1835, 1820, 2180, 2118 grams. The specification limits are + 2% of the target value. The installers completed the installation based on the above measurements. Assume the variance for the production line (2) is 100g.
1a. What is the capability index of this process (Cp)? ______________ 0.5 pt
1b. Is the company capable of producing within the customer’s specification limits: ?______
and why______________________ 0.5pt
Question 2. A machine at a Cereal manufacturing company fills boxes with bran flakes cereal.
The target weight for the filled boxes is 24 ounces. The company would like to use appropriate control charts to monitor the performance of the machine. To develop the charts, the company decides to sample and weigh five boxes of cereal each day  for 20 consecutive days. The data are summarized in the printout below.
Here are some summary statistics that may help you in answering the below questions
X bar bar  = and R Bar  =0.181523.9971
a. Construct mean chart . 1 pts
b. Construct R chart . 1 pts
c. What do the charts suggest about the stability of the filling process ? Justify your answer using short rule criteria.
Data is collected monthly. We want to know whether the complication rates have been in control  during this period. Here is the data you need:
Month Comp. Procedure
1 14 105
2 12 97
3 10 11
4 12 100
5 9 95
6 7 111
7 9 68
8 11 47
9 9 83
10 12 108
11 10 115
12 7 94
13 12 107
14 9 99
15 15 105
16 13 110
17 7 97
18 10 105
19 8 71
20 5 48
21 12 95
22 9 110
23 7 103
24 9 95
25 15 105
26 12 100
27 8 116
28 2 110
29 9 105
30 10 120
SUM/Total: – 294 2,835
3a. Using the average complication rate as the baseline, what is the minimum sample size is
required to this study? 0.5 pt
3b. Do you adequate sample sizes for this study? 0.5pt
3c. List the months during which the sample size was/were NOT adequate? 0.5pt
3d. Construct p-chart based on average sample.

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