Question

Find the z-scores associated with 70 books sold at each locationZ-score (A): Z-score (B):

Answer 1

The z-scores associated with 70 books sold at each location can be found using the formula: z-score = (x - mean) / standard deviation. Given that the mean is the same for both locations and the standard deviation is also the same, we can use the formula to calculate the z-scores for each location.

Step-by-step explanation:

The z-scores associated with 70 books sold at each location can be found using the formula:

z-score = (x - mean) / standard deviation

Given that the mean is the same for both locations and the standard deviation is also the same, we can use the formula to calculate the z-scores for each location. Let's assume the mean is μ and the standard deviation is σ.

Location A:

z-score (A) = (70 - μ) / σ

Location B:

z-score (B) = (70 - μ) / σ

Answer 2

Z-score (A): -0.6

Z-score (B): -0.67

Explanations:

The formula for calculating z-score is expressed as:

`z=(x-\mu)/(\sigma)`

For score A:

Given the following parameters

`\begin{gathered} \mu=73 \\ x=70 \\ \sigma=5 \end{gathered}`

Substitute

`\begin{gathered} z=(70-73)/(5) \\ z=(-3)/(5)=-0.6 \end{gathered}`

For the score B

`\begin{gathered} \mu=80 \\ \sigma=15 \end{gathered}`

Substitute

`\begin{gathered} z=(70-80)/(15) \\ z=(-10)/(15)=-0.67 \end{gathered}`