show all work

16. A city health department wishes to estimate the mean bacteria count per unit volume of water at a lake beach. A researcher collected 10 water samples of unit volume and found the average bacteria count to be a? = 193.7 with a standard deviation of S =11.0. a. Find a 98% condence interval for the true mean bacteria count per unit volume at the lake beach. Assume bacteria counts are normally distributed (5 pts) b. If p. = 198 is considered safe, what should the health department conclude based on the condence interval in part (a): (3 pts) i. They are condent the lake beach is safe because 198 is above the upper bound of the CI in part (a). ii. They are not condent the lake beach is safe because 198 is included in the CI in part (a). iii. The results are inconclusive