6. What is the average amount of calories for an 8ounce serving of root beer? The students in a statistics class collected a random sample of 10 different brands of root beer and they also assumed that the population of root beer calorie amounts are normally distributed. The 10 different calorie amounts in an 8ounce serving of each brand are organized in the table below: 110120130142144152153157158166 The students are going to nd a 99% confidence interval estimate for the population calorie amount in an 8ounce serving of all brands of root beer. Help them do that by answering the following questions: a. (3 points) What is the mean calorie amount from the sample? b. (3 points) What is the calorie standard deviation from the sample? Round to 2 decimal places. 0. (3 points) What are the degrees of freedom (df = n -1) for the sample? d. (3 points) The critical value for a 99% confidence interval is . Use this and your sample statistics to determine the Margin of Error (E) for the confidence interval. Round to 2 decimal places. e. (3 points) Use your answers from part a and part d to find the confidence interval estimate, (lower limit, upper limit), for the population mean amount of calories in an 8ounce sewing of root beer. f. (3 points) If the students increased the sample size but kept the confidence level the same, would the confidence interval estimate become more precise or less precise