Question

Suppose "true-talent" (stable given an infinitely large sample) average exit velocity (AEV) on batted balls for all players is normally distributed with a mean of 87 mph and a standard deviation of 2.5 mph. For any sample of individual batted balls hit by one player, the standard deviation of exit velocity of those batted balls around this particular player's true-talent AEV is 9 mph. At this point in the season, Marco Masher has a total of 10 batted balls with an average exit velocity of 96 mph. Given only this information, the best estimate for his "true talent" exit velocity is closest to which whole number?

Answer 1

pg.no" 1 Soleition : Gilveni → Normally distributed Mean et 87 mph → standard deviation & 2.5mph → particular player true - talent Atv is amph → Average et velocity 96 mph Information best true talent sit relocity closest to whole number n = 10 saamph. and X = 96 mph is E = tala u wheee, talo = 4 = 8.262 WE - 2.262. - 6.443776 h = 6.4377 → Confidence interval (x-&, Ž+E) where, =96 mph

Pg Nord & = 6.4377 Sub . = 196 - 6:44377, 96 + 644377) F 89.5623,- 102, 4377) . Confedence Internal fals numbee is 89.56 23, 102.4377