1) For the following assumptions, write down the Ho and Hi. Whenever you can, express them mathematically (e.g. x>9) and the others verbally. a) I believe that the average IQ of UR students is larger than 107. b) I believe that on average kids get 24 X-mas presents. c) I believe that it will take me no longer than 10 hours to grade the finals. d) I believe that less than 65% of the class will get a C in the final e) I believe that more than 20% of the class will get a B or better in the final. f) Which of the above cannot be tested for using our methods and why? 2) Type I and type II errors. a) I believe that the world is a flat disk. I walk 2500 miles to the California coast and since I didn't arrive back in Berea, I conclude that I must have been right. What type of error did I commit? b) I believe that the world is a ball. I walk 2500 miles to the California coast and since I didn't arrive back in Berea, I conclude that I must have been wrong. What type of error did I commit? c) The a (as in a being the significance level) is what type of error? 3) I believe that a local bar owner cheats and serves less than the promised pint (= 454 ml) (on average). I sample 49 "pints" and find the sample mean to be 444 and (magically) I know that the population standard deviation of the amount of beer he pours is 33. a) State my Ho and the Hi b) Test my hypothesis at the 1%, 5% and 10% significance level