(c) Would confidence intervals for differences in fabrics be of interest? If not, why not?

If so, how would they be interpreted? Give a formula for such confidence intervals assuming that these intervals are preplanned and are the only intervals envisaged, and the overall level is to be at least 99%.

Table 7.25 Percentage of popped kernels for the robust popcorn experiment Time k = 1 Time k = 2 Time k = 3 AB Y_ij1
Y_ij2
Y_ij21
Y_ij22
Y_ij31
Y_ij32
11 45.5 57.0 73.5 83.5 62.5 80.0 12 59.0 52.0 76.0 84.5 83.0 86.0 21 76.0 53.0 58.5 64.5 57.5 51.0 22 86.0 74.0 77.0 69.5 61.0 62.5 31 83.5 67.5 85.5 84.0 81.5 78.5 32 51.0 69.0 66.5 76.0 85.5 78.0 oil were a store brand corn oil (level 1) and a specialized name brand popping oil (level 2).