From our second Data Analysis Assignment, you investigated the Caffeine content for a random sample of 90 different soda varieties. Instead of comparing the average caffeine content for all sodas to Coke or Diet Coke, let's see whether we could estimate the average caffeine content of the population of all sodas instead. The researcher does not have any additional information about the population of caffeine content of sodas. The data set is called SodaSubset. a) Based on the above scenario, which method of statistical inference do you believe you should consider using? Answer this question in one sentence and provide a reason for your choice. b) If we attempt to conduct statistical inference using the collected sample, what is the parameter of interest to the researcher? Use the correct symbol and describe the parameter in context in one sentence. c) Check the following conditions necessary to consider conducting inference using theorybased methods and the t-distribution. There are three to consider: (1) Was a random sample collected; (2) Is the population where the sample comes from Normal; and (3) Is the sample size greater than or equal to 30? Check these conditions in one sentence each and provide a reason why