Suppose a sample of 60 crates has a mean weight of 12.1 kilograms and a standard deviation of 0.05 kilograms. If a crate has the weight of 12 kilograms, what is its corresponding z-score?
A) 2.0
B) -2.0
C) 1.8
D) -3.0
E) -1.8

Question

Quizplus · Accepted Answer

The z-score formula is:

z = (x - μ) / σ

where x is the individual value, μ is the population mean, and σ is the population standard deviation.

In this case, x = 12 kg, μ = 12.1 kg, and σ = 0.05 kg.

Plugging in the values, we get:

z = (12 - 12.1) / 0.05 = -2

Therefore, the corresponding z-score is -2, which corresponds to choice B.

Suppose a Sample of 60 Crates Has a Mean Weight