The distribution of the number of dill pickle spears in a gallon container is approximately Normal with mean 110 and standard deviation 10.
How many dill pickle spears does a container hold if its standardized score is 0.4?
A) 4 spears
B) 14 spears
C) 104 spears
D) 114 spears
E) We don't have enough information to determine the answer to this question.

Question

Quizplus · Accepted Answer

The standardized score formula (also called Z-score formula) is given by: 
Z = (X - μ) / σ, where X is the value, μ is the mean and σ is the standard deviation. 
We have Z = 0.4, μ = 110 and σ = 10. 
Rearranging the formula, we get X = μ + Zσ = 110 + 0.4*10 = 114. 
Therefore, the container holds 114 dill pickle spears (choice D).

The Distribution of the Number of Dill Pickle Spears in a Gallon