A fish story: The mean length of one-year-oldspotted flounder, in millimeters, is 133 with standard deviation of20, and the mean length of two-year-old spotted flounder is 156with a standard deviation of 24. The distribution of flounderlengths is approximately bell-shaped.
(a) Anna caught a one-year-old flounder that was 145 millimetersin length. What is the z-score for this length? Round the answersto at least two decimal places.
(b) Luis caught a two-year-old flounder that was 195 millimetersin length. What is the z-score for this length? Round the answersto at least two decimal places.
(c) Joe caught a one-year-old flounder whose length had az-score of 1.3. How long was this fish? Round the answer to atleast one decimal place.
(d) Terry caught a two-year-old flounder whose length had az-score of −0.6. How long was this fish? Round the answer to atleast one decimal place.
