Question

A fish story: the mean length of one-year-old spotted flounder, in millimeters, is 133 with standard deviation of 18 , 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 Joe's fish, we can use the z-score formula to solve for x.

Step-by-step explanation:

To find the length of Joe's fish, we need to use the z-score formula:

z = (x - mean) / standard deviation

Plugging in the given values for Joe's fish:

z = 1.2

mean = 133

standard deviation = 18

Solving for x:

1.2 = (x - 133) / 18

1.2 * 18 = x - 133

21.6 = x - 133

x = 154.6

So the length of Joe's fish is approximately 154.6 millimeters.