Q1-Suppose an experiment utilizing a random block design has 3 treatments and 11 blocks for a total of 33 observations. Assume that the total Sum of Squares for the response is SS(Total) = 500. If the Sum of Squares for Treatments (SST) is 50% of SS(Total), and the Sum of Squares for Blocks (SSB) is 30% of SS (Total), find theFvalues for this experiment.

Q2-Suppose we wish to testH₀:= 25 vs.H_a:< 25. Which of the following possible sample results gives the most evidence to supportH_a(i.e., rejectH₀)?

Q3-We have created a 99% confidence interval forwith the result (8, 13). What conclusion will we make if we testH₀ =15 vs H_a doe not =15 atalpha= 0.01 ?

Q4-A certain HMO is attempting to show the benefits of managed care to an insurance company. The HMO believes that certain types of doctors are more cost-effective than others. One theory is that certification level is an important factor in measuring the cost-effectiveness of physicians. To investigate this, the HMO obtained independent random samples of 27 physicians from each of the three certification levelsBoard certified (C); Uncertified, board eligible (E); and Uncertified, board ineligible (I) and recorded the total per member per month charges for each (a total of 81 physicians). How many factors are present in this study?