Question

Consider the following computer output for an experiment. The factor was tested over four levels. Answer...

Consider the following computer output for an experiment. The factor was tested over four levels. Answer the following questions:

Source SS df MS F P-value
Factor

330.47

 3.01
Error
Total 35

(a) How many replicates did the experimenter use?

(b) Fill in the missing information in the ANOVA table.

(c) Calculate P-value bounds using tables and the exact value using EXCEL.

(d)What conclusions can you draw about differences in the factor-level means?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Part a

Replicate = 9

Part b and c

Source SS df MS F P-value
Factor 991.41 3 330.47 3.01 0.044501
Error 3513.3023 32 109.7907
Total 4504.7123 35

P value is calculated using formula

=FDIST(3.01,3,32)

Part d

Since p value is less than 0.05 i.e level of significance , we reject the null hypothesis and conclude that there is significant difference between factor- 4 level mean.

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