# The manufacturer wants to know if the density is affected by the

The manufacturer wants to know if the density is affected by the cycle time with an error type 1 of 5%

Cycle time (min). (2.13, 1.99,2.11,2.16,2.11,1.89)

Density (2.34,2.59,2.40,2.85,2.04,2.22)

1. Determine the slope of the line

2. Determine the Y intersection

3. Determine the correlation coefficients

4. Conclusion based on the r value,

– Strong linear relations ship with a positive slope

– Strong linear relationship with negative slope

– No linear relationship

– None

5. Determine the experimental value of F

6. Determine the critical value of F

7. Conclusion based Anova

– Strong linear relations ship with a positive slope

– Strong linear relationship with negative slope

– No linear relationship

– None

Case 9 Design of Experiment (two K factorial Design)

– Prepare a two K Factorial Design, Each member of the team needs to collect samples to

– prepare a 2 by 2 matrix related to the same output variable and determine if the selected independent variables are affecting the depending Variable

– Use alpha of the 10% for T test

– Explain the results a use a program

Case 10: Statistical Process Control (Control Charts Part1)

– Prepare an X bar and R bar chart

– Collect samples to prepare five observation each from a process. Determine if the process is in control or not

– Explain the results a use a program and data tendencies that can be inferred in the report

– Explain the results as pictures

Case 11: Statistical Process Control (Process Capability)

– Collect sample to prepare five observation each from a process. Determine if the process is in control or not

– Explain the results and data tendencies that can be inferred in the report

Case 12: Statistical Process Control (Process Capability)

Conduct a Process Capability Ratio analysis

– Collect samples to prepare 10 samples from two process

– Determine which process is more consistent and if both of them are running within specification using Cpk

– Explain the result and use the program