The lengths of mature trout in a local lake are approximately normally distributed with a mean of μ=13.7 inches, and a standard deviation of σ=1.8 inches.
Solution :
Given that,
mean =
= 13.7
standard deviation =
= 1.8
a ) x = 12.1
Using z-score formula,
z = x -
/
= 12.1- 13.7 / 1.8
= -1.6 /1.8
= -0.89
z-score = - 0.89
b ) z = 1.4
Using z-score formula,
x = z *
+
= 1.4 * 1.8 + 13.7
= 16.22
x = 16.22
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