Homework 4 - due in class Wednesday, November 13 1. [32 pts total] A researcher proposes to model daily coffee consumption among OSU students by a normal distribution with mean 20 oz and standard deviation 4 oz. (a) [4 pts] Comment on whether such a model is appropriate for coffee comsumption at OSU. Points will be assigned for making valid arguments for/against the model. (b) [4 pts] One OSU student was found to be consuming 32 oz of coffee a day. To investigate if this is excessive consumption, compute the probability that a randomly selected student will consume more than 32 oz of coffee. (c) [4 pts] What is the probability that a randomly selected student will have coffee consumption in the range [14, 26] oz.? (d) [5 pts] What is the probability that a randomly selected student will have coffee consumption in the range [mean-SD, mean+SD]? (e) [5 pts] Find the amount of coffee consumption that only 5% of the students will exceed?