# Suitable Model Fit

The problems need to be done in minitab, and have to include ordered data, rank, (xi-.5/n), z, zi

MAT 332

Problem : Thirty measurements of the time - to - failure of a critical component in an electronics assembly are recorded. Determine which probability density model-Normal, lognormal, or Weibull-appears to provide the more suitable fit to the data.

DATA

1.9

3.0

6.3

5.1

4.1

10.9

6.6

.5

20.7

.4

2.3

5.3

1.9

9.0

2.9

1.2

2.5

4.4

1.9

8.3

1.6

4.6

11.9

2.1

1.2

.8

1.3

4.0

3.8

.9

1. Fitting of Model I (Normal), which includes the following:

a. Worksheet.

b. Graph: Scatter plot, regression Line, equation of the regression line

and the correlation coefficient or the coefficient of determination.

c. Parameter Estimates

2. Fitting of Model II(Lognormal), which includes the following:

a. Worksheet.

b. Graph: Scatter plot, regression Line, equation of the regression line

and the correlation coefficient or the coefficient of determination.

c. Parameter Estimates

3. Fitting of Model III(Weibull), which includes the following:

a. Worksheet.

b. Graph: Scatter plot, regression Line, equation of the regression line

and the correlation coefficient or the coefficient of determination.

c. Parameter Estimates

4. Draw Conclusion and give one line explanation.

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#### Solution Summary

We fit three different probability density models-Normal, lognormal, or Weibull - then decide which provides the suitable fit