The lumen output was determined for each of i = 3 different brands of 60-watt soft-white lightbulbs, with j = 8 bulbs of each brand tested. the sums of squares were computed as sst r = 591.2 and sse = 4773.3. state the hypotheses of interest, and use the f test of anova (at α = 0.05) to decide whether there are any differences in true average lumen outputs among the three brands for this type of bulb.

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.