0 0 The bass in Clear Lake have weights that are normally distributed with a mean of 2.4 pounds and a standard deviation of 0.8 pounds.

Question

Determine the weights that delineate the middle 95% of the bass in Clear Lake. Enter the interval endpoints below in (f) and (g).
(f) The left endpoint of the interval is
Round your answer to the 2nd decimal place.
Your answer
(g) The right endpoint of the interval is

Answer 1

Obtain a z-score chart:

http://www.utdallas.edu/dept/abp/zscoretable.pdf

 

The z-score for the lowest 2.5% (0.025) is -1.96

-1.96 = (X - 2.4) / 0.8

-1.352 = X - 2.4               multiply both sides by 0.2

3.752 = X                        add 2.4 to both sides

 

The left end of the interval is 3.752.

 

Follow this process for 97.5% (0.975) to determine the right endpoint.