Question

A fish story: the mean length of one-year-old spotted flounder, in millimeters, is 130 with standard deviation of 16 , and the mean length of two-year-old spotted flounder is 157 with a standard deviation of 33 . the distribution of flounder lengths is approximately bell-shaped. (c) joe caught a one-year-old flounder whose length had a z-score of 1.2. how long was this fish? round the answer to at least one decimal place. the length of joe's fish is millimeters.

Answer 1

To find the length of a one-year-old flounder with a z-score of 1.2, calculate 130 mm + (1.2 × 16 mm) to get 149.2 mm. This is Joe's flounder's length.

Step-by-step explanation:

Joe caught a one-year-old flounder whose length had a z-score of 1.2. To find the length of the fish, we can use the following formula: actual length = mean length + (z-score × standard deviation). For a one-year-old spotted flounder, the mean length is 130 millimeters and the standard deviation is 16 millimeters.

Plugging the values into the formula, we get:

• Actual length = 130 + (1.2 × 16)
• Actual length = 130 + 19.2
• Actual length = 149.2 millimeters

So, the length of Joe's fish is 149.2 millimeters.