Question

An operations manager at a synthetic fiber production facility is studying two factors that influence the breaking strength of a synthetic fiber (operator and machine) and decides to use a two-factor factorial experiment with 2 replicates. To conduct the study, the operations manager has three operators produce two sets of fiber from each of four different production machines and records the breaking strength. The data appear in the table below. The operations manager uses Excel’s data analysis tool Anova: Two-Factor With Replication to model to the data in the table. The output appears below. The data table and Excel output also appear in the Fiber Strength worksheet of the Final Exam Moodle data workbook.

  

At which value(s) for alpha (type I) error is the Machine factor significant?

Select one:

a. 0.10

b. 0.05

c. 0.025

d. 0.01

e.
None of the above

Answer 1

ANSWER::

Decision rule: if p-value < alpha, then the Machine factor is statistically significant.

Here, p-value for machine factor is 0.3515 which is greater than 0.10, 0.05, 0.025, and 0.01; therefore, the Machine factor is not statistically significant at 0.10, 0.05, 0.025, and 0.01alpha error.

Therefore, the correct option is e. None of the above.

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