Hello, I'm struggling with the problem below. For (d), you only need to use the Satterthwaite procedure. Could you help step-by-stepin R please?

$16.11. Filling machines. A company uses six lling machines of the same make and model to place detergent into cartons that show a label weight of 32 ounces. The production manager has complained that the six machines do not place the same amount of ll into the cartons. A consultant requested that 20 lled cartons be selected randomly from each of the six machines and the content of each cartOn carefully weighed. The observations (stated for convenience as deviations from 32.00 ounces) follow. Assume that ANOVA model (16.2) is applicable. I t 1 2 3 . 18 19 20 1 .14 .20 .07 .. . .07 .01 .19 2 .46 .11 .12 .02 .11 .12 3 .21 .78 .32 . . . .50 .20 .61 4 .49 .58 .52 . . . .42 .45 .20 5 -.19 .27 .06 .14 .35 .18 6 .05 7.05 .28 . .. .35 7.09 9.05 a. Estimate the proportion of the total variability in carton fills that reflects the differences in mean fills between machines; use a 95 percent confidence interval. b. Estimate o' with a 95 percent confidence interval. Interpret your interval estimate. c. Obtain a point estimate of of d. Obtain separate approximate 95 percent confidence intervals for of using the Satterthwaite procedure and the MLS procedure. Are these intervals similar? Comment.\f