A cruise company would like to estimate the average beer consumption to plan its beer inventory levels on future seven-day cruises. (The ship certainly doesn't want to run out of beer in the middle of the ocean!) The average beer consumption over 16 randomly selected seven-day cruises was 81,788 bottles with a sample standard deviation of 4,548 bottles. Complete parts a and b below. a. Construct a 95% confidence interval to estimate the average beer consumption per cruise. The 95% confidence interval to estimate the average beer consumption per cruise is from a lower limit of bottles to an upper limit of |bottles. (Round to the nearest whole numbers.) b. What assumptions need to be made about this population? O A. The only assumption needed is that the population follows the Student's t-distribution. O B. The only assumption needed is that the population distribution is skewed to one side. O C. The only assumption needed is that the population follows the normal probability distribution. O D. The only assumption needed is that the population size is larger than 30