The mean length of one-year-old spotted flounder, in millimeters, is 126 with standard deviation of 18, and the mean length of two-year-old spotted flounder is 162 with a standard deviation of 28.

The distribution of flounder lengths is approximately bell-shaped.

a. Anna caught a one-year-old flounder that was 150 millimeters in length. What is the z-score for this length?

b. Luis caught a two-year-old flounder that was 190 millimeters in length. What is the z-score for this length?

c. Whose fish is longer, relative to fish the same age?

d. Joe caught a one-year-old flounder whose length had a z-score of 1.2. How long was this fish?

e. Terry caught a two-year-old flounder whose length had a z-score of −0.5. How long was this fish?