The lumen output was determined for each of I 5 3 differentbrands of lightbulbs having the same wattage, withJ 5 8 bulbs of each brand tested. The sums of squareswere computed as SSE 5 4773.3 and SSTr 5 591.2.State the hypotheses of interest (including word definitionsof parameters), and use the F test of ANOVA(a 5 .05) to decide whether there are any differences intrue average lumen outputs among the three brands forthis type of bulb by obtaining as much information aspossible about the P-value

Sample Distributions (Chapter 10) Important definitions explained in these notes: Sample space Event Parameter Statistical inference The Law of Large Numbers Discrete Probability Models Continuous Probability Models Random Variable Random Variable X bar or xx Central Limit Theorem An unbiased estimator The Rules of Calculating Probabilities: All values between 0 and 1 If S is sample space of a probability model, then P(s)=1 Addition rule for disjoint events: if two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities a. P(A or B) = P(A) +