Question

According to a report by the U.S. Fish and Wildlife Service, the
mean length of six-year-old rainbow trout in the Arolik River in
Alaska is 481 millimeters with a standard deviation of 41
millimeters. Assume these lengths are normally distributed.

a. What proportion of six-year-old rainbow trout are less than 450
millimeters long?

b. What proportion of six-year-old rainbow trout are between 400
and 500 millimeters long?

c. Is it unusual for a six-year-old rainbow trout to be less than
400 millimeters long? Explain. = ___ = ___ n = ____

d. Find the 58th percentile of lengths.

e. Find the third quartile of lengths.

f. A size limit is to be put on trout that are caught. What should
the size limit be so that 15% of six-year-old trout have lengths
shorter than the limit?

Answer #1

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