A contractor wishes to see whether there is a difference in the time (in days) it takes two subcontractors to build three different types of homes. At α = 0.05, analyze the data shown here, using a two-way ANOVA. See below for raw data.
Data

ANOVA Summary Table

Perform these steps. Assume that all variables are normally or approximately normally distributed, that the samples are independent, and that the population variances are equal.
a. State the hypotheses.
b. Find the critical value for each F test.
c. Complete the summary table and find the test value.
d. Make the decision.
e. Summarize the results. (Draw a graph of the cell means if necessary.)

Home type Subcontractor 15,I8,2.21.,17 21-27. 13, 15,.19 23,23,24, 17.13 25, 28, 26, 30,330, 32, 35, 29.3 43. 40, 42, 49,48 21, 27, 18, 15, 19 23, 25, 24, 17, 13 Source d.f MS F Subcontractor Home type Interaction Within 1672.553 444.867 313.267 328.800 2759.487 Total