Question
Problem 1 Tuna Pouch Fill Weights Time n=1 n=2 n=3 n=4 n=5 6 74.3 75.7 75.6 74 74.2 7 76 75.2 76.2 76.4 76.8 8
Problem 1
Tuna Pouch Fill Weights
Time
n=1
n=2
n=3
n=4
n=5
6
74.3
75.7
75.6
74
74.2
7
76
75.2
76.2
76.4
76.8
8
75.6
75.3
74.2
74.6
75.2
9
75.8
75.2
74.3
73.6
74.9
10
76.3
74.2
80.6
76.5
77.1
11
76.2
74.9
75.1
76.8
75.1
12
78.2
77.6
76.9
77.2
78.1
13
76.9
74.3
75.3
74.2
74.3
14
74.3
75.3
76.9
71.3
77.2
15
78.4
78.8
79.5
77.2
76.1
16
74.8
76.5
76.4
76
76.4
17
76.3
74.6
75.2
75.6
75.1
18
77.8
77.7
76.8
73.3
77.2
19
80.3
80.3
75.8
76
79.1
20
79.1
76
74
79.8
80.3
21
74.4
73.9
74.8
76.8
75.2
22
74.2
74.1
73.9
73.5
74
23
74.6
76.9
80.9
80.5
80.9
24
80.1
80.2
79.8
79.9
80.6
1
77.9
76.8
78.4
78.9
77.3
2
76.6
76.4
73.2
73.5
77.9
S
3
77.3
76.4
81
79.2
76.2
3
75.4
73.9
76.8
78.3
74.6
A tuna processor fills 2.6 oz. pouches of a flavored tuna in sauce product to a targeted net weight of 74 grams.The pouches are filled using a positive displacement pump.
A sample size of 5 pouches is used in sampling the filling process.
Five pouches are pulled every hour for net weight control.
The net weight data is provided.
Questions
a)What are the UCL and LCL for the x bar and R charts for the tuna pouch net weight?
b)Is the pouch filling process in control?Please explain.
c)Should the operation convert to sampling individual pouches for net weight control vs. taking five samples per hour?
Problem 2
The specification limits for the check weigher are 72 grams and 76 grams.Each pouch travels over the check weigher before retorting.
The pouches that are rejected are opened and reworked into new product.
a)What percentage of the pouches are being rejected by the check weigher because they are too light in weight?
b)What percentage of the pouches are being rejected by the check weigher because they are too heavy in weight?
c)Describe what is occurring in the filling and check weighing process.What should the plant do to minimize waste and costs?
Problem 3
The net weight policy at the tuna processor states that the net weight lot average must be at or greater than the declared net weight of the product.
The entire production day is a lot.
The target net weight is 74 grams.
The net weight policy at the tuna processor states that the net weight lot average must be at or greater than the declared net weight of the product.
The entire production day is a lot.
The target net weight is 74 grams.
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Financial Algebra advanced algebra with financial applications
Authors: Robert K. Gerver
1st edition
978-1285444857, 128544485X, 978-0357229101, 035722910X, 978-0538449670
