Question: Sports and Leisure A wingsuit is a specially designed jumpsuit with added surface area to provide more lift. Extremesports enthusiasts wear this suit and jump from planes or a fixed object (BASE jumping, where BASE stands for Building, Antenna, Span, Earth). One of the most popular BASE environments is Troll Wall in Norway. Suppose the mean flight time for a wingsuit jump at Troll Wall is 22.5 seconds with standard deviation 2.3 seconds. Thirty-two jumpers are selected at random to test a new wingsuit at Troll Wall.
a. What is the probability that the sample mean flight time is less than 22 seconds?
b. Suppose the sample mean flight time for these jumpers is 23.15 seconds. Is there any evidence to suggest that this new wingsuit increases the mean flight time?
c. Find a value w such that P(X¯ ≤ w) 5 0.005.