Question
In: Statistics and Probability
A food processing operation consists of mixing ingredients, forming and cooking. Figure below shows the cooking...
A food processing operation consists of mixing ingredients, forming and cooking. Figure below shows the cooking process where the formed material travels through a cooking oven on a conveyer belt. The raw material is subject to shrinkage due to the cooking process. The specification limits for shrinkage is between 5% and 9%. There are two machines operating two shifts daily. A technician selects samples before and after cooking process and calculates percent shrinkage. Table below shows the data set for several cooked samples taken from the upper and lower machines. The weight is in pounds.
|
Upper Cooked |
Lower Cooked |
|
1.020 |
1.024 |
|
1.034 |
1.018 |
|
1.034 |
0.974 |
|
1.016 |
1.032 |
|
1.028 |
1.034 |
|
1.012 |
1.012 |
|
0.998 |
0.998 |
|
1.016 |
1.000 |
|
1.018 |
1.016 |
|
1.018 |
1.020 |
|
1.028 |
0.974 |
- Using quality control chart method, analyze upper machine. Discuss your findings.
- Using quality control chart method, analyze lower machine. Discuss your findings.
- Using quality control chart, compare lower vs. upper machine. Is the supervisor’s claim that both machines are the same correct? Discuss.
Solutions
Expert Solution
Answer: Refer Following tables with Diagram for control chart:
i) Quality Control chart for Upper Machine using below table of data
Using this table to create the Control chart below:
Interpretation: Looking at control chart of Upper Machine we can see no data points are below or above UCL and LCL lines which means that quality of Upper machine is good to use for food processing operations.
ii) Quality Control chart for Lower Machine using below table of data
Using this table to create the Control chart below:
Interpretation: Looking at control chart of Lower Machine we can see no data points are below or above UCL and LCL lines which means that quality of Lower machine is good to use for food processing operations.
iii) to compare both machines, as Is supervisor’s claiming that both machines are the same, we need to use following testing of equality of two population means using Exact test.
Here using test statistic we got Calculated value as 1.6418 and table value (at 5% LOS) is 1.96
Which says, since Calculated value less than table value so we may accept Ho here.
It concludes that both machines are same in process which support claim of supervisor.
orchestra answered 2 years agoRelated Solutions
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Weston Products manufactures an industrial cleaning compound that goes through three processing departments—Grinding, Mixing, and Cooking....
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and Cooking. All raw materials are introduced at the start of work
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451,950
Completed and transferred
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Materials
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Conversion
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Weston Products manufactures an industrial cleaning compound that goes through three processing departments—Grinding, Mixing, and Cooking....
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that goes through three processing departments—Grinding, Mixing,
and Cooking. All raw materials are introduced at the start of work
in the Grinding Department. The Work in Process T-account for the
Grinding Department for May is given below:
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Inventory, May
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Completed and transferred to
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Materials
680,600
Conversion
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Inventory, May
31
?
The May 1 work in process inventory consisted of 80,000 pounds
with...
Weston Products manufactures an industrial cleaning compound that goes through three processing departments—Grinding, Mixing, and Cooking....
Weston Products manufactures an industrial cleaning compound
that goes through three processing departments—Grinding, Mixing,
and Cooking. All raw materials are introduced at the start of work
in the Grinding Department. The Work in Process T-account for the
Grinding Department for May is given below:
Work in Process—Grinding Department
Inventory, May 1
21,800
Completed and transferred
to the Mixing Department
?
Materials
133,400
Conversion
225,500
Inventory, May 31
?
The May 1 work in process inventory consisted of 18,000 pounds
with...
Weston Products manufactures an industrial cleaning compound that goes through three processing departments—Grinding, Mixing, and Cooking....
Weston Products manufactures an industrial cleaning compound
that goes through three processing departments—Grinding, Mixing,
and Cooking. All raw materials are introduced at the start of work
in the Grinding Department. The Work in Process T-account for the
Grinding Department for May is given below:
Work in Process—Grinding Department
Inventory, May 1
21,800
Completed and transferred
to the Mixing Department
?
Materials
133,400
Conversion
225,500
Inventory, May 31
?
The May 1 work in process inventory consisted of 18,000 pounds
with...
Weston Products manufactures an industrial cleaning compound that goes through three processing departments—Grinding, Mixing, and Cooking....
Weston Products
manufactures an industrial cleaning compound that goes through
three processing departments—Grinding, Mixing, and Cooking. All raw
materials are introduced at the start of work in the Grinding
Department. The Work in Process T-account for the Grinding
Department for May is given below:
Work in
Process—Grinding Department
Inventory, May 1
184,800
Completed and
transferred to
the Mixing Department
?
Materials
486,300
Conversion
157,092
Inventory, May 31
?
The May 1 work in
process inventory consisted of 120,000 pounds with...
Weston Products manufactures an industrial cleaning compound that goes through three processing departments—Grinding, Mixing, and Cooking....
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that goes through three processing departments—Grinding, Mixing,
and Cooking. All raw materials are introduced at the start of work
in the Grinding Department. The Work in Process T-account for the
Grinding Department for May is given below: Work in
Process—Grinding Department Inventory, May 1 446,160 Completed and
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Weston Products manufactures an industrial cleaning compound that goes through three processing departments—Grinding, Mixing, and Cooking....
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that goes through three processing departments—Grinding, Mixing,
and Cooking. All raw materials are introduced at the start of work
in the Grinding Department. The Work in Process T-account for the
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Work in Process—Grinding Department
Inventory, May 1
307,000
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Materials
709,250
Conversion
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Inventory, May 31
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Weston Products manufactures an industrial cleaning compound that goes through three processing departments—Grinding, Mixing, and Cooking....
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that goes through three processing departments—Grinding, Mixing,
and Cooking. All raw materials are introduced at the start of work
in the Grinding Department. The Work in Process T-account for the
Grinding Department for May is given below:
Work in Process—Grinding Department
Inventory, May 1
178,000
Completed and transferred
to the Mixing Department
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Materials
724,040
Conversion
402,000
Inventory, May 31
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The May 1 work in process inventory consisted of 50,000 pounds
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Weston Products manufactures an industrial cleaning compound that goes through three processing departments—Grinding, Mixing, and Cooking....
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that goes through three processing departments—Grinding, Mixing,
and Cooking. All raw materials are introduced at the start of work
in the Grinding Department. The Work in Process T-account for the
Grinding Department for May is given below:
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