Answer:
The size limit for 15% of of six-year-old trout is 438.52 mm.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 481 millimeters
Standard Deviation, σ = 41 millimeters
We are given that the distribution of mean length of six-year-old rainbow trout is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.15
Calculation the value from standard normal z table, we have,
Thus, the size limit for 15% of of six-year-old trout is 438.52 mm.