Question

The head-to-tail length of a species of fish is normally distributed, with a

mean of 17.4 cm and a standard deviation of 3.2 cm. One fish is 16.3 cm

long. What is the score of the length of this fish? Round your answer to two

decimal places.

A. 0.54

B. 0.34

C. -0.34

D. -0.54

Answer 1

C. -0.34

Explanation:

We have that for a normal distribution, the value of z can be calculated using the following formula:

z = (x - m) / sd

where x is the value to evaluate, m the mean and sd the standard deviation, we have those values x = 16.3, m = 17.4 and sd = 3.2

if we replace we have:

z = (16.3 - 17.4) /3.2

z = -0.3437

if we round to 2 decimal places, it would be -0.34, that is, the answer is C.