7. (4 points) In a random sample of 30 cans of soda, the mean volume is found to be 12.1 ounces and the standard deviation is found to be 0.2 ounces. Construct a 99% confidence interval for the true population mean volume of soda in the cans. Round to one decimal place. Write a statement interpreting the confidence interval you found. You may use a graphing calculator command. 8. (6 points) Weights of adult males are normally distributed with a mean of 172 pounds and a standard deviation of 29 pounds. Draw a diagram to accompany your answer and state the calculator command you use. Round to the third decimal place. a) Find the weight that corresponds to the 30th percentile, P30- b) Find the probability that a randomly selected adult male weights between 160 and 170 pounds. c) Find the probability that 20 randomly selected adult males will have a mean weight that is greater than 180 pounds