Question

The bass in Clear Lake have weights that are normally distributed with a mean of 2.5 pounds and a standard deviation of 0.6 pounds.

(a) Suppose you only want to keep fish that are in the top 10% as far as weight is concerned. What is the minimum weight of a keeper? Round your answer to 2 decimal places.
____ pounds

(b) Suppose you want to mount a fish if it is in the top 0.5% of those in the lake. What is the minimum weight of a bass to be mounted? Round your answer to 2 decimal places.
____ pounds

(c) Determine the weights that delineate the middle 99% of the bass in Clear Lake. Round your answers to 2 decimal places.
from ____ to ____ pounds

Answer 1

Refer Standard normal table/Z-table, Lookup for Z-value corresponding to area 0.10 to the right of the normal curve or use excel formula "=NORM.S.INV(1-0.10)" to find the Z-value.

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Refer Standard normal table/Z-table, Lookup for Z-value corresponding to area 0.005 to the right of the normal curve or use excel formula "=NORM.S.INV(1-0.005)" to find the Z-value.

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Refer Standard normal table/Z-table, Lookup for Z-value corresponding to area 0.995 to the left of the normal curve or use excel formula "=NORM.S.INV(0.995)" to find the Z-value.