A manufacturing engineer is studying the dimensional variability of a particular component that is produced on three machines. Each machine has two spindles, and four components are randomly selected from each spindle. Assume that machines and spindles are fixed factors.
1. What is the nested effect model for the experiement.
2. At significance level .05, test whether the machines have the same effect
3. At significance level .05, test whether the spindles have the same effect
4. At overall confidence level .95 report the confidence intervals for the following contrasts: C1=u1-(2)u2+u3, C2=u2-u3 where u1 is machine 1, u2 is machine 2, and u3 is machine 3
5. At significance level .05, test normality assumption and equal variance assumption hold
Please show equations/work and not just a statistical output(or at least the equation you would use for each one)