Problem #3 You must use the empirical rule to answer the problems in this question. In other words, | do not want you to use R's pnorm( ) function to answer any of these questions. The only exception is if a specific problem asks you to use R. Since we're on a roll, let's stick with our same concrete-company analysis... Data from the pouring of a different-sized series of jacuzzies was approximately normally distributed: N(34.6, 4.5) cubic feet. One job required 43.6 cubic feet. What percentile does this correspond to? What percentage of jobs required an amount between 30.1 and 43.67 What percentage of items required less than 39.1 cubic feet? One pool required an amount corresponding to a z-score of -2. How much concrete did this require? 5. Do not use the empirical rule for this problem. Instead, use R for a precise calculation. One job was in the 45th percentile. What amount of concrete does that correspond to? Hint: There is an R function that will give you this exact piece of information. That is, it converts the area under the normal density curve back into a z-score. Lol