1. For the data collection desecribed in B&L Exercise T: (a) Discuss the 5 conditions for using a binomial distributional model for this problem. 1s each one obviously satisfied, obviously not satisfied, or not enough information to determine (with an example of what else you need to know)? (b) You will soon compute a confidence interval for the probability that an egg hatches at each temperature. Which type of confidence interval do vou think should be used? Why? (c) Regardless of your answer to the previous part, compute the Wilson interval for the probability of hatching at each temperature. Present the results in a simple table, like (d) Do these three intervals suggest that there may be an effect of temperature on the probability of eggs hatching for this insect? Explain. (This isn't a trick question. Look at the intervals and interpret them in the context of the problem context.) (e) Just to understand why Wald intervals are so weird, compute a Wald interval for the probability of hatching at 10 and 15 C. Are these intervals believable? Explain. 7. In a study of insect physiology, eggs from a beneficial species of moth were put in boxes placed in chambers at different temperatures. There were 30 eggs placed into each box, and the number of eggs hatching after 30 days were counted. The first box at 10C had 0 hatch, the first box at 15C had 1 hatch, and the first box at 20C had 25 hatch. The data is courtesy of Jim Nechols, Department of Entomology, Kansas State University