Question

The mean length of flounder, in millimeters, is 126 with standard deviation of 18 millimeters. The mean length of trout, in millimeters, 162 with standard deviation of 28 millimeters. Both distributions of lengths are approximately normal. a. Anna caught a flounder that was 150 millimeters longs. What is the z-score for its length? Round to two decimal places. b. Ben caught a trout that was 190 millimeters in length. What is the z-score for its length? Round to two decimal places. c. Whose fish is larger relative to fish of its type?

Answer 1

Mean length of flounder af 126 millimeters Standard deviation T = 18 millimeters Anna caught a flounder that was 150 millimeters in length X 150 3 x-Mi T 3 = 150-126 18 18 in 3-score for its length 11.33 millimeters 6 Mean length of a trout M2=162 millimeters Standard deviation 7=28 millimeters Ben caught a trout that was 190 millimeters in length What 3- score for its length ? Here x= 190 3= X-M2 1.00 millimeters 3= 190-162 28 - 28 28 larges iz-score for its length 1.00 millimeters (C) Whose fish is relative to fish of its type . 3-score for Arma's fish = 1.33 millimeler length 3-score for Ben's fish = 1 millimeter length Annas sish has more 3-score ANNA's fish is larger than Ben's fish.