A study was conducted on the effects of developer strength f

A study was conducted on the effects of developer strength (factor A) and development time (factor B) on the density of photographs. Two strengths and two development times were used, and four replicates in each of the four cells were evaluated. Complete parts (a) through (e). Click on the icon to view the data. At the 0.05 level of significance, is there an interaction between developer strength and development time? Determine the hypotheses. Choose the correct answer below. There is no interaction between developer strength and development time. There is an interaction between developer strength and development time. There is no interaction between developer strength and development time. There is a positive interaction between developer strength and development time. There is an interaction between developer strength and development time. There is no interaction between developer strength and development time. There is no interaction between developer strength and development time. There is a negative interaction between developer strength and development time. Determine the value of the test statistic.

Solution

Interaction dof =(a-1)(b-1) = 1

Error dof = ab(n-1) =2*2*3 = 12

F critical = F(0.05,1,12) = 4.7472