A biomedical researcher has conducted a two-factor factorial experiment as part of the research to develop a

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A biomedical researcher has conducted a two-factor factorial experiment as part of the research to develop a new product. She performed the statistical analysis using a computer software package. A portion of the output is shown below:

ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares]

Source Sum of Squares DF Mean Square F

Value Prob > F Model 874.00 5 174.80 3.28 0.0904 A 776.00 ? 388.00 7.27 0.0249 B 5.33 1 5.33 0.10 0.7625 AB 92.67 2 46.33 0.87 0.4663 Pure Error 320.00 ? 53.33 Cor Total 1194.00 11

(a) Interpret the F-statistic in the “Model” row of the ANOVA. Specifically, what hypothesies are being tested?

(b) What conclusions should be drawn regarding the individual model effects?

(c) How many levels of factor A were used in this experiment?

(d) How many replicates were run?

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