Dragon boat racing is a competitive water sport that involves 20 paddlers propelling boat across various race distances. a study on elite dragon boat paddlers summarized an extensive statistical analysis of data obtained from a sample of 11 paddlers. it reported that a 95% confidence interval for true average force (n) during a simulated 200-m race (60.2, 70.6. assume the paddling force is normally distributed.

(a) briefly describe what needs to be done in order to assume "the force is normally distributed"
(b) obtain a 95% prediction interval for the force of a single randomly selected dragon boat paddler undergoing the simulated race.
(c) calculate an interval that includes at least 99% of the paddling forces in the popula- tion distribution using a confidence level of 95 %.