MSA pdf Assignment 01
pdf
keyboard_arrow_up
School
Conestoga College *
*We aren’t endorsed by this school
Course
8000
Subject
Statistics
Date
Feb 20, 2024
Type
Pages
14
Uploaded by SuperHumanCoyotePerson1024
Assignment 1A ( /60)
Accuracy Studies
Course: Measurement System and Process Evaluations –
QUAL8016
Student Names: Jaykishan Brahmbhatt ( 8929804)
Janam Patel (8911416)
Stavan Shah (8944626)
Varshil Patel (8843716)
Date: 2023-09-28
Assignment 1A Instructions
Stability Study:
•
Obtain the stability data from the instructor (see the excel sheet) and add it to slide 4.
•
Describe the stability procedure used to obtain the stability data in slide 4.
•
Perform the stability study and analyze the results in slide 5
Bias Study:
•
Obtain the bias data from your measurements (group work, see the excel sheet) and add it to slide 6.
•
Describe the procedure used to obtain the bias data in slide 6.
•
Perform the Bias study and analyze the results in slides 7 and 8.
Linearity Study:
•
Obtain the linearity data from measurements (group work, see the excel sheet) and add it to slide 9.
•
Describe the procedure used to obtain the linearity in slide 9.
•
Perform the linearity study and analyze the results in slide 10.
Measurement System and Instrument Resolution:
•
Answer the questions in Slide 11
Complete the executive summary in slide 3.
Complete the conclusions and recommendations in slide 12.
Complete the references in slide 13. Note: class presentations need to be referenced as well.
Executive Summary (3)
1.
Stability Study
2.
Bias Analysis
3.
Linearity Analysis
4.
Measurement System and Instrument Resolution
5.
Conclusions and Recommendations
6.
Reference and Writing
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
Stability Study
Stability Procedure (4 pts)
List the procedure used to obtain the stability data:
1.
Select a representative production part with measurements in the middle of the production range as the reference sample for stability analysis. The exact true value is not needed for this analysis.
2.
Measure this part 3 to 5 times daily for at least 20 days, ensuring measurements are taken at different times. These measurements should be carried out by the regular operator responsible for production measurements.
3.
In Minitab, create X-bar and R control charts by navigating to "Stat" > "Control Charts" > "Variable Charts for Subgroup" > "Xbar-
R…" and plot the collected data for analysis.
Number of parts used: 1
Who took the measurements: Instructor
Sample size: 5
Sample frequency: Daily
Stability Data (0.5 pts)
Insert stability data here (Instructor to provide data)
Day
1
2
3
4
5
1
2.5
2.49
2.5
2.51
2.48
2
2.51
2.5
2.51
2.49
2.5
3
2.49
2.48
2.48
2.49
2.47
4
2.49
2.5
2.49
2.5
2.5
5
2.49
2.5
2.48
2.49
2.48
6
2.49
2.48
2.47
2.48
2.49
7
2.45
2.48
2.48
2.49
2.5
8
2.5
2.51
2.5
2.49
2.49
9
2.5
2.48
2.49
2.51
2.48
10
2.5
2.49
2.51
2.49
2.5
11
2.48
2.47
2.48
2.49
2.47
12
2.49
2.5
2.49
2.48
2.49
13
2.51
2.5
2.48
2.49
2.51
14
2.49
2.48
2.47
2.48
2.49
15
2.47
2.48
2.48
2.49
2.5
16
2.5
2.51
2.5
2.49
2.49
17
2.51
2.5
2.48
2.49
2.51
18
2.49
2.48
2.47
2.48
2.49
19
2.48
2.48
2.48
2.49
2.5
20
2.49
2.49
2.5
2.49
2.4
Stability Study (Cont
…)
Perform the Stability Study in Minitab using the data in the previous slide and analyze the results below. Xbar-R Charts (1 pt)
Insert the Xbar and R charts here
Stability results analysis (5 pts)
•
Is this measurement system stable? Explain your answer. (5)
1.
After studying both graphs in sample range graph one point is showing out of control condition so we can say that measurement system is unstable. We cannot continue with measurement system analysis.
Bias Analysis
Bias Procedure (2 pts)
Describe the procedure used to obtain the bias data:
•
Take a single component and determine its true or reference value, for instance obtained from a laboratory Coordinate Measuring Machine (CMM).
•
First, measure this component at least ten times in a row using a single measuring instrument operated by a single appraiser.
•
Calculate the bias for each measurement as follows: Bias = Measurement Xi - True Value
•
Next, employ a one-sample t-test to conduct a hypothesis test for the bias. You can find this option in statistical analysis software ( Here we used Minitab) under "Basic Statistics" and then selecting "1-Sample t-test."
Bias Data (0.5 pts)
•
Insert bias data here
Number
Readings (m
Bias
1
26.74
0.03
2
26.71
0
3
26.75
0.04
4
26.78
0.07
5
26.75
0.04
6
26.72
0.01
7
26.71
0
8
26.71
0
9
26.78
0.07
10
26.79
0.08
11
26.75
0.04
12
26.78
0.07
13
26.74
0.03
14
26.72
0.01
15
26.73
0.02
16
26.69
-0.02
17
26.63
-0.08
18
26.73
0.02
19
26.67
-0.04
20
26.68
-0.03
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
Bias Analysis (Cont
…)
Perform the Bias Study in Minitab using the data in the previous slide and analyze the results below
1 sample t-test results (1 pts)
•
Attach histogram of the data here
Bias Results Analysis (2 pts)
•
Are there any anomalies in the data? Explain. (2)
1.
Yes by studying graph we can say that there could be anomalies or outliers as first and last bin values are different from rest of the data set.
Bias Analysis (Cont
…)
Perform the Bias Study in Minitab using the data in the previous slide and analyze the results below
1 sample t-test results (1 pt)
•
Attach p-value results and bias histogram here
Bias Results Analysis (4 pts)
•
Using the numerical results, is the measurement system accurate? Explain. (2)
1.
Yes
2.
As p-value is greater than 0.05 we can say that measurement system is accurate.
•
Using the graphical results, is the measurement system accurate? Explain. (2)
1.
Yes
2.
As Zero (Ho: bias mean = 0) is inside the 95% confidence interval we can say that measurement system is accurate.
Linearity Analysis
Linearity Procedure (2 pts)
Describe the procedure used to obtain the linearity data:
1. Obtain a minimum of 5 parts that encompass the operating range of the measurement gauge.
2. Send these parts to the lab for precise measurements to determine their true values.
3. A single operator, who typically utilizes the gauge, should measure each of the 5 parts at least 10 consecutive times using the same gauge.
4. Utilize Minitab to conduct a Linearity Study, which will calculate the bias for each measurement and the average bias at each reference value. Additionally, it will generate a linear regression plot depicting the average bias against reference values, including the best-fit line and confidence interval bands. You can access this analysis in Minitab under "Stat" > "Quality Tools" > "Gauge Study" > "Gage Linearity and Bias Study."
Linearity Data (1 pt) •
Insert Linearity Data here
Reference 29.77
31.38
57.71
37.86
26.76
1
29.73
31.37
57.6
38.14
26.74
2
29.76
31.37
57.65
37.9
26.71
3
29.72
31.36
57.62
37.85
26.75
4
29.85
31.33
57.65
37.94
26.78
5
29.82
31.34
57.8
37.97
26.75
6
29.83
31.38
57.79
37.8
26.72
7
29.7
31.41
57.68
37.95
26.71
8
29.84
31.4
57.85
37.76
26.71
9
29.79
31.32
57.66
37.82
26.78
10
29.81
31.44
57.75
37.83
26.79
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
Linearity Analysis (Cont
…)
Perform the Linearity Study in Minitab using the data in the previous slide and analyze the results below
Linearity results (1 pt)
•
Attach the linearity results here (regression plot with numerical results)
Linearity results Analysis (6 pts)
•
Is Linearity acceptable, based on the numerical results? Explain your answer. (2)
1.
Yes
2.
slope p-value is greater than 0.05 and the intercept p-value greater than 0.05.
•
Is Linearity acceptable, based on the regression plot? Explain your answer. (2)
1.
Yes
2.
Bias=0 line lies entirely inside the 95% confidence bands.
•
Is bias acceptable at all dimensions? Explain your answer. (2)
1.
Bias is acceptable at all dimensions, not changing significantly across the operating range as slope P-value is greater than 0.05.
Measurement System and Instrument Resolution (15 pts)
•
What are the 5 elements of this measurement system? (5)
1.
S
- Standard W
- Work piece I
- Instrument P
- Person and Procedures E
- Environment
•
What is the actual resolution of the instrument used in this study? Explain your answer. (2)
1.
Instrument used in this study is Vernier Calliper. It has resolution of 0.01 mm. The smallest unit it can measured is 0.01 mm
•
What is the required instrument resolution, based on the specifications? Show calculations. (4)
•
The required instrument resolution is the difference between ULS and LSL divided by 10. Instrument resolution = (ULS-LSL)/10=0.1/10=0.01mm.
•
What is the required instrument resolution for a 6 sigma process, based on the process variation? Assume the process mean is in the center of the specification width. Show your calculations (4)
1.
Required resolution = (process variation)/10 = (6*sigma)/10=(6*0.04073)/10=0.02443. So, the required resolution is 0.02mm.
Conclusions and Recommendations (6 pts)
•
Is this measurement system accurate? Use the results from the bias and linearity analysis to answer this question. (2)
1.
Yes measurement system is accurate as Bias is statistically zero and Linearity is acceptable.
•
Provide 2 potential root causes of bias in this measurement system. Use the list of possible causes for bias and linearity to answer this question. (2)
1.
Worn instrument, equipment or fixture
2.
Repeatability
•
Make 2 recommendations to improve the accuracy of this measurement system based on the root causes identified. (2)
1.
Create a routine maintenance and calibration program for all measurement tools and fixtures.
2.
Continuous monitor measurement data which can result in early detection of variations. Also, operator training to minimize measurement variability.
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
References and Writing
•
References (1)
•
Rahman, A. (2023, September 11). Measurement System and Process Evaluations
. Econestoga. Retrieved September 28, 2023, from https://conestoga.desire2learn.com/d2l/home/879121
•
•
MONTGOMERY, D. C. (2020). Introduction to statistical quality control (6th ed., pp. 29-34). Wiley. https://reader.texidium.com/dist/#/book/16837
Related Questions
please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearly
arrow_forward
Can anyone please send me the normal standard table
arrow_forward
How do you calculate the variable Daily Spiritual Experience Scale (DSES).
as a single numerical value to be used in SPSS for data analysis)?
What is the potential numerical range and how is it interpreted? What is its scale of measurement? Note: if nominal, numerical is meaningless but necessary for SPSS so you won’t discuss the numbers in your paper.
arrow_forward
List an advatge of microdata, and of aggregated data
Answer in a few sentences thank you.
arrow_forward
An insurance company hires an actuary to determine whether the number of hours of safety drivingclasses can be used to predict the number of driving accidents for each driver. Identify theexplanatory variable, if any.
arrow_forward
The data file, data2.xls (Excel format), has been uploaded to this module. Click, download, and open this file. It contains:
Table 1. Violent victimization, by type of crime, 2016, and 2017
Appendix table 3. Standard errors for table 1: Violent victimization, by type of crime, 2016, and 2017
From the estimation of the number of Rape/sexual assault (298,410) in 2016 at 95% CI. what is the lower limit?
arrow_forward
what data do into spss to receive the answers?
arrow_forward
Install RStudio: Begin by installing RStudio on your computer. If you haven't done so, please refer to the official RStudio website for download and installation instructions.
Watch the Tutorial Video: Watch the provided video tutorial that explains how to run RStudio. Pay close attention to the steps for opening and managing data files. https://www.youtube.com/watch?v=RhJp6vSZ7z0
Open RStudio: Once RStudio is installed, open the application.
Load the Dataset: In RStudio, open a data file named "mtcars". To do this, type the command mtcars in the script editor and run the command.
Attach the Data: Next, attach the dataset using the command attach(mtcars).
Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following…
arrow_forward
Now monitor the process. An additional ten days of data have been collected, see table labeled “1st 10 Days of Monitoring Reservation Processing Time” in the Data File.
Develop Xbar and R charts for the 1st 10 days of monitoring. Plot the data for the 1st 10 days on the Xbar and R charts.
Is the process in control? If the control chart indicates an out-of-control process, note which days, the pattern, and whether it is the Xbar or R chart.
Based on the X-bar and R Charts that you developed for the 1st 10 days of data, is the process in control?
Group of answer choices
No. The X-bar and R Charts are both out of control.
No. The X-bar Chart is in control, but the R Chart is out of control.
No. The R Chart is in control, but the X-bar Chart is out of control.
Yes. The X-bar and R Charts are both in control.
arrow_forward
Determine the interquartile range of the following data: 155, 134, 153, 119, 89.
arrow_forward
I just need help on the last portion
arrow_forward
Download LRA 5.docx (20.3 KB)
Page of 4
- ZOOM +
3.
Data for the number of counties in each state is included in the chart below with the
exception of Georgia and Texas which were outliers with 159 and 254 counties.
Calculate the mean for the grouped data.
Mid-point
times
Frequenc Mid-
frequenc
Number of counties
y
point
y
15 - 29
30 - 44
9
6
45 - 59
4
60 - 74
6
75 -89
90 - 104
5
105 - 119
8.
120 - 134
2
XXXXXX
total
XX
4. Calculate the range and the sample standard deviation for the following data.
High
High
High
City
City
City
°F
'F
°F
Minneapolis,
Philadelphia,
Los Angeles,
55
65
75
Minnesota
Pennsylvania
California
Nashville,
Cleveland, Ohio
70
Austin, Texas
80
60
Tennessee
Baltimore,
San Diego,
Riverside,
65
70
81
Maryland
California
California
Page 1 of 4
arrow_forward
The Acme School of Locksmiths has been accredited for the past 15 years. Discuss how this information might be interpreted as a
a. qualitative variable
b. quantitative variable
arrow_forward
Measuring the height of a California redwood tree is very difficult because these trees grow to heights of over 300 feet. People familiar with these trees understand that the height of a California redwood tree is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person. The data in the table represent the height (in feet) and diameter (in inches) at the breast height of a person for a sample of 21 California redwood trees.
Interpret the meaning of the coefficient of determination in this problem.
Perform a residual analysis on the results and determine the adequacy of the model.
Determine whether there is a significant relationship between the height of redwood trees and the breast height diameter at the 0.05 level of significance.
Height
Diameter at breast height
Bark thickness
122.0
20
1.1
193.5
36
2.8
166.5
18
2.0
82.0
10
1.2
133.5
21
2.0
156.0
29
1.4
172.5
51
1.8
81.0
11
1.1
148.0
26
2.5
113.0
12
1.5…
arrow_forward
How to determine the number of observation in the model?
arrow_forward
State the generic error for an interpolating formula?
arrow_forward
Please provided a detailed explaination
arrow_forward
How do I calculate to get this std dev answer?
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Related Questions
- please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearlyarrow_forwardCan anyone please send me the normal standard tablearrow_forwardHow do you calculate the variable Daily Spiritual Experience Scale (DSES). as a single numerical value to be used in SPSS for data analysis)? What is the potential numerical range and how is it interpreted? What is its scale of measurement? Note: if nominal, numerical is meaningless but necessary for SPSS so you won’t discuss the numbers in your paper.arrow_forward
- List an advatge of microdata, and of aggregated data Answer in a few sentences thank you.arrow_forwardAn insurance company hires an actuary to determine whether the number of hours of safety drivingclasses can be used to predict the number of driving accidents for each driver. Identify theexplanatory variable, if any.arrow_forwardThe data file, data2.xls (Excel format), has been uploaded to this module. Click, download, and open this file. It contains: Table 1. Violent victimization, by type of crime, 2016, and 2017 Appendix table 3. Standard errors for table 1: Violent victimization, by type of crime, 2016, and 2017 From the estimation of the number of Rape/sexual assault (298,410) in 2016 at 95% CI. what is the lower limit?arrow_forward
- what data do into spss to receive the answers?arrow_forwardInstall RStudio: Begin by installing RStudio on your computer. If you haven't done so, please refer to the official RStudio website for download and installation instructions. Watch the Tutorial Video: Watch the provided video tutorial that explains how to run RStudio. Pay close attention to the steps for opening and managing data files. https://www.youtube.com/watch?v=RhJp6vSZ7z0 Open RStudio: Once RStudio is installed, open the application. Load the Dataset: In RStudio, open a data file named "mtcars". To do this, type the command mtcars in the script editor and run the command. Attach the Data: Next, attach the dataset using the command attach(mtcars). Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include: Mileage (mpg) Number of Cylinders (cyl) Displacement (disp) Horsepower (hp) Research: Google to understand these variables. Statistical Analysis: Select mpg variable, and perform the following…arrow_forwardNow monitor the process. An additional ten days of data have been collected, see table labeled “1st 10 Days of Monitoring Reservation Processing Time” in the Data File. Develop Xbar and R charts for the 1st 10 days of monitoring. Plot the data for the 1st 10 days on the Xbar and R charts. Is the process in control? If the control chart indicates an out-of-control process, note which days, the pattern, and whether it is the Xbar or R chart. Based on the X-bar and R Charts that you developed for the 1st 10 days of data, is the process in control? Group of answer choices No. The X-bar and R Charts are both out of control. No. The X-bar Chart is in control, but the R Chart is out of control. No. The R Chart is in control, but the X-bar Chart is out of control. Yes. The X-bar and R Charts are both in control.arrow_forward
- Determine the interquartile range of the following data: 155, 134, 153, 119, 89.arrow_forwardI just need help on the last portionarrow_forwardDownload LRA 5.docx (20.3 KB) Page of 4 - ZOOM + 3. Data for the number of counties in each state is included in the chart below with the exception of Georgia and Texas which were outliers with 159 and 254 counties. Calculate the mean for the grouped data. Mid-point times Frequenc Mid- frequenc Number of counties y point y 15 - 29 30 - 44 9 6 45 - 59 4 60 - 74 6 75 -89 90 - 104 5 105 - 119 8. 120 - 134 2 XXXXXX total XX 4. Calculate the range and the sample standard deviation for the following data. High High High City City City °F 'F °F Minneapolis, Philadelphia, Los Angeles, 55 65 75 Minnesota Pennsylvania California Nashville, Cleveland, Ohio 70 Austin, Texas 80 60 Tennessee Baltimore, San Diego, Riverside, 65 70 81 Maryland California California Page 1 of 4arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL