At random 20 different rater are assigned to each cookie.Design contrasts to com

At random 20 different rater are assigned to each cookie.Design contrasts to compare chewy vs crispy and expensive with inexpensive.Are the contrasts orthogonal? Show.For the example in class with 3 levels: control trt1 and trt2 we used contrasts w1=(1-0.5-0.5) and w2=(01-1). Now assume the sample sizes were n1=10 n2=7 n3=8. Rescale w1 and/or w2 so that they are still orthogonal and still make the same relative comparisons i.e. compare control to the two trts and compare trt1 to trt2.