5. Kidney failure patients are commonly treated on dialysis machines that lter toxic substances from the blood. The appropriate \"dose\" for effective treatment de pends, among other things, on duration of treatment and weight gain between treatments as a result of uid buildup. To study the effects of these two factors on the number of days hospitalized (attributable to the disease) during a year, a random sample of 10 patients per group who had undergone treatment at a large dialysis facility was obtained. Treatment duration (factor A) was categorized into two groups: short duration (average dialysis time for the year under four hours) and long duration (average dialysis time for the year equal to or greater than four hours). Average weight gain between treatments (factor B) during the year was categorized into three groups: slight, moderate, and substantial. The estimated treatment means of the study are given in Table 3. The error mean square (M SE) is equal to 0.101. Table 3: Estimated treatment means Factor B Factor A W i = 1 0.443 0.810 1.107 2' = 2 0.398 0.581 0.866 (a) (3 points) Estimate #22 using a condence interval with a condence level of 0.95. Is H0 : #22 = 0 rejected at a signicance level of 0.05? Include an explanation. (b) (3 points) Estimate D = pugp21 using a condence interval with a condence level of 0.95. Is H0 : #23 = #21 rejected at the signicance level of 0.05? Include an explanation. (c) (2 points) Consider constructing simultaneous condence intervals for all pos- sible pairwise comparisons of factor A level means with a 94% familywise condence coefcient. Is there any difference between the Thkey procedure, the Bonferroni procedure and the Scheff procedure in this case? Include an explanation. (d) (3 points) Consider constructing simultaneous confidence intervals for all pos- sible pairwise comparisons of factor B level means with a 94% family-wise confidence coefficient. Which multiple comparison procedure (the Tukey pro- cedure, the Bonferroni procedure or the Scheffe procedure) is most efficient here? Calculate the multipliers and explain which procedure is most efficient