Assignment 1 Excel
docx
keyboard_arrow_up
School
Conestoga College *
*We aren’t endorsed by this school
Course
8090
Subject
Statistics
Date
Feb 20, 2024
Type
docx
Pages
7
Uploaded by SuperHumanAtomBeaver41
Assignment 1
19
th
October 2023
Prepared by
Vikas Patel
Student no – 8938771
STAT8090
Prepared for
Reza Mohaghegh
Compute all descriptive summary measures, box-and-whisker plots and any other tables and charts relating to the cat food cans that you believe would be useful in preparing your report to management.
Interpretation:
-
The interquartile range (IQR) in both samples is relatively narrow, which suggests that most cans
are within a consistent range.
-
There are a few potential outliers in the Shrimp Cat Food sample, which may require
investigation.
To further analyze the data and prepare a comprehensive report for management, you may consider the
following additional steps:
1.
Conduct hypothesis tests to determine whether the means of the samples are statistically
different from the legal requirement.
2.
Analyze the data for trends or patterns by examining shifts and possible root causes of variation.
3.
Create control charts to monitor the filling process over time and detect any trends or shifts.
4.
Provide recommendations for process improvements to ensure that the company consistently
meets legal requirements.
5.
Calculate the percentage of underfilled and overfilled cans.
6.
Summarize the potential impact of current filling practices on customer satisfaction, product
quality, and compliance with legal standards.
Incorporating these additional analyses and insights into your report will help management make
informed decisions about process improvements and quality control measures.
Identify issues with the current process and what needs to be done to improve it?
Issues with the current process for filling cat food cans are evident from the data and the analysis. Here
are the identified issues and suggestions for improvement:
1.
Variability in Fill Weights:
The standard deviations for both Kidney and Shrimp cat food cans are
relatively high. This indicates a significant level of variability in the fill weights. Variability can
lead to inconsistencies in product quality, consumer dissatisfaction, and potential legal issues.
Improvement:
To address variability, the company should consider the following steps:
-
Fine-tuning the extruding machine: Ensuring precise control over the amount of food
dispensed into each can.
-
Calibration and maintenance of equipment: Regular maintenance and calibration of the
filling machinery to reduce measurement errors.
-
Quality control checks: Implement stringent quality control checks at various stages of
the filling process to catch and correct discrepancies in real-time.
2.
Outliers
: The box-and-whisker plots may reveal outliers, which are data points falling outside the
whiskers. Outliers can be indicative of irregularities in the filling process or measurement errors.
Improvement
: Investigate and address the root causes of outliers. This may involve inspecting
the production process for unusual events, equipment malfunctions, or measurement errors.
3.
Legal Compliance:
The company is currently overpacking the cans to ensure they meet the
minimum legal requirement, resulting in some cans being overfilled. This can lead to spillage and
cost inefficiencies.
Improvement
: To meet legal requirements efficiently and minimize overpacking and spillage,
consider the following:
-
Adjusting the extruding machine settings to control the fill weight more precisely within
the legal range.
-
Implementing real-time monitoring and feedback systems to ensure that the fill weights
remain within the legal limits.
4.
Consistency in Shifts:
It's also essential to examine the consistency between shifts. The data
shows variations in fill weights between different shifts, which might be due to differences in
equipment handling or process management.
Improvement:
To improve consistency between shifts, consider standardizing operating
procedures and providing additional training or supervision for workers to ensure uniformity in
the filling process.
5.
Statistical Process Control:
Implementing a statistical process control (SPC) system can help
monitor and control the filling process in real-time. This includes setting control limits,
monitoring variation, and taking corrective actions when necessary.
6.
Root Cause Analysis:
Conduct a root cause analysis to identify and address the underlying
factors contributing to variability and inconsistencies in fill weights. This may involve examining
equipment performance, raw materials, and operator skills.
7.
Continuous Improvement:
Establish a culture of continuous improvement within the
organization. Regularly review and update procedures and processes to enhance product quality
and consistency.
8.
Customer Feedback:
Collect feedback from customers regarding the consistency and quality of
the product. Use this feedback to make further adjustments to the process.
By addressing these issues and implementing the suggested improvements, the company can achieve
better consistency in fill weights, reduce overfilling, minimize underfilling, and ensure compliance with
legal requirements. This, in turn, can enhance customer satisfaction and maintain a competitive edge in
the gourmet cat food market.
Estimate the population standard deviation using the sample characteristics. Make sure you are not mixing two processes.
Standard deviation for kidney shift 1 – 0.0181
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Standard deviation for kidney shift 2 – 0.0234
Standard deviation for shrimp shift 1 – 0.0338
Standard deviation for shrimp shift 2 – 0.0363
To meet the legal requirements, what must the company do to improve the filling processes for each type of canned food? And what should be the enhanced process mean and standard deviation?
To meet the legal requirements for filling processes for each type of canned food (Kidney and Shrimp Cat
Food), the company must ensure that the fill weights fall within the specified range, which is between
2.95 ounces (minimum) and 3.10 ounces (maximum). Here's what the company should do to improve
the filling processes:
1.
Fine-Tune the Filling Equipment:
Adjust the extruding machine settings to control the fill weight more precisely.
Calibrate the equipment regularly to maintain accuracy.
2.
Implement Real-Time Monitoring:
Use real-time monitoring and feedback systems to ensure that the fill weights remain
within the legal limits.
Implement statistical process control (SPC) to detect variations and make immediate
adjustments.
3.
Quality Control Checks:
Conduct stringent quality control checks at various stages of the filling process.
Perform regular inspections to ensure the equipment is functioning correctly.
4.
Consistency in Shifts:
Standardize operating procedures across different shifts.
Provide additional training or supervision to workers to ensure uniformity in the filling
process.
5.
Root Cause Analysis:
Conduct a root cause analysis to identify and address factors contributing to variability
and inconsistencies in fill weights, such as equipment performance, raw materials, and
operator skills.
Now, let's discuss what the enhanced process mean and standard deviation should be to meet the legal
requirements for filling each type of canned food:
Kidney Cat Food:
- To meet the legal requirements, the enhanced process mean for Kidney Cat Food should target the
midpoint of the legal range, which is the mean of 2.95 ounces and 3.10 ounces: \((2.95 + 3.10) / 2 =
3.025\) ounces.
- The enhanced process standard deviation should be reduced from the current value to ensure that the
majority of cans fall within the specified range. The exact target standard deviation will depend on the
analysis of the process data, but it should be set to minimize underfilling and overfilling.
Shrimp Cat Food:
- Similarly, for Shrimp Cat Food, the enhanced process mean should also target the midpoint of the legal
range, which is 3.025 ounces.
- The enhanced process standard deviation should be reduced to ensure that most cans fall within the
legal range, based on the analysis of the process data.
It's important to emphasize that the company must continuously monitor and adjust the filling process
to maintain the enhanced process mean and standard deviation. Ongoing quality control, data analysis,
and process improvement efforts are essential to meet legal requirements and provide consistently high-
quality products.
What percentage of each type of canned food is underfilled, and what percentage is overfilled?
To calculate the percentage of each type of canned food that is underfilled and overfilled, we'll use the
sample data for Kidney Cat Food and Shrimp Cat Food separately and compare it to the legal
requirements for a 3-ounce can (2.95 ounces minimum and 3.10 ounces maximum).
Kidney Cat Food:
1.
Count the number of Kidney Cat Food cans that are underfilled (below 2.95 ounces).
2.
Count the number of Kidney Cat Food cans that are overfilled (above 3.10 ounces).
3.
Calculate the total number of Kidney Cat Food cans in the sample (which is 50).
Calculate these percentages for Kidney Cat Food Shift 1:
-
Number of Kidney Cat Food cans underfilled: 0
-
Number of Kidney Cat Food cans overfilled: 0
-
Total number of Kidney Cat Food cans: 50
Percentage of underfilled Kidney Cat Food cans:
Percentage
of
Underfilled
Kidney
Cat
Food Shift 1 =
0/50 × 100% = 0%
Percentage of overfilled Kidney Cat Food cans:
Percentage
of
Overfilled
Kidney
Cat
Food Shift 1 =
0/50 × 100% = 0%
Calculate these percentages for Kidney Cat Food Shift 2:
-
Number of Kidney Cat Food cans underfilled: 0
-
Number of Kidney Cat Food cans overfilled: 1
-
Total number of Kidney Cat Food cans: 50
Percentage of underfilled Kidney Cat Food cans:
Percentage
of
Underfilled
Kidney
Cat
Food Shift 2 =
0/50 × 100% = 0%
Percentage of overfilled Kidney Cat Food cans:
Percentage
of
Overfilled
Kidney
Cat
Food Shift 2 =
1/50 × 100% = 2%
Shrimp Cat Food:
1.
Count the number of Shrimp Cat Food cans that are underfilled (below 2.95 ounces).
2.
Count the number of Shrimp Cat Food cans that are overfilled (above 3.10 ounces).
3.
Calculate the total number of Shrimp Cat Food cans in the sample (which is 50).
Calculate these percentages for Shrimp Cat Food Shift 1:
-
Number of Shrimp Cat Food cans underfilled: 0
-
Number of Shrimp Cat Food cans overfilled: 2
-
Total number of Shrimp Cat Food cans: 50
Percentage of underfilled Shrimp Cat Food cans:
Percentage
of
Underfilled
Shrimp
Cat
Food Shift 1 = 2/50 × 100% = 4%
Percentage of overfilled Shrimp Cat Food cans:
Percentage
of
Overfilled
Shrimp
Cat
Food Shift 1 =
0/50 × 100% = 0%
Calculate these percentages for Shrimp Cat Food Shift 2:
-
Number of Shrimp Cat Food cans underfilled: 3
-
Number of Shrimp Cat Food cans overfilled: 0
-
Total number of Shrimp Cat Food cans: 50
Percentage of underfilled Shrimp Cat Food cans:
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Percentage
of
Underfilled
Shrimp
Cat
Food Shift 2 = 3/50 × 100% = 6%
Percentage of overfilled Shrimp Cat Food cans:
Percentage
of
Overfilled
Shrimp
Cat
Food Shift 2 =
0/50 × 100% = 0%
Related Documents
Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill

Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt

Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL

Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill

Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt

Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL