This assignment is designed to improve your understanding of descriptive statistics concepts, data organization and visualization, and analysis of single factor with three or more levels. The assignment problem is intended to help you learn to compute and interpret basic descriptive statistics; to construct and interpret visual data displays; to perform and interpret analysis of variance to test differences among means of several groups; to assess model adequacy with residual plots; to use multiple comparison procedures to identify specific differences between means; and to make decisions using statistical analysis.

ASSIGNMENT:
Primer paint is used to improve paint adhesion. At ZMD, an aerospace company manufacturing commercial aircrafts, primer paints are applied to several aircraft components. ZMDâ€™s Aircraft_Series_900 design specifications calls for a primer paint, with a minimum adhesion force of 4.0N.

You are a process engineer at ZMD. One of your main responsibilities is to identify areas of opportunities for quality improvement. Recently, you have been researching alternative brands to the primer paint currently used. Based on manufacturersâ€™ specifications you selected three alternatives, and requested samples.

You ran an experiment to observe which primer, including the one in use, gives the highest adhesion force. You will now prepare a technical memo for your manager, Lauren Hull, to report your findings. Your report must include the following:
a) Explain briefly why you initiated this study
b) State which primer(s) you recommend using in production and which primer(s) to avoid based on
- your data analysis, and
- the pricing information on all four primers shown in Table 1 below.

Table 1 Price per Gallon for All Four Primer Alternatives ($)
Current Primer Primer 1 Primer 2 Primer 3
50.12 47.38 55.86 49.28

Your data analysis must include:
â€¢ A graphical display to compare the mean adhesion force for the four primer paints, and summary of your findings.
â€¢ An ANOVA test to determine whether there is any significant difference between primer paints at 0.05 significance level.
â€¢ Residual analysis from your experiment and summary on model adequacy.
â€¢ If appropriate, data analysis to determine which primer paints differ.

This assignment is designed to improve your understanding of descri...