A machine that fills bottles with a beverage has a fill volume whose mean is 20.01 ounces, with a standard deviation of 0.02 ounces. A case consists of 24 bottles randomly sampled from the output of the machine. a. Find the mean of the total volume of the beverage in the case. b. Find the standard deviation of the total volume of the beverage in the case. c. Find the mean of the average volume per bottle of the beverage in the ease. d. Find the standard deviation of the average volume per bottle of the beverage in the case. e. How many bottles must be included in the case for the standard deviation of the average volume per bottle to be 0. 0025 ounces?