Questions: A population has mean ψ=25 and standard deviation π=5, Round the answers to two decimal places as needed. (a) Find the z-score for a population value of 8. The z-score for a population value of 8 is -3.4. (b) Find the x-score for a population value of 17. The x-score for a population value of 17 is .

A population has mean ψ=25 and standard deviation π=5, Round the answers to two decimal places as needed.

(a) Find the z-score for a population value of 8.

The z-score for a population value of 8 is -3.4.

(b) Find the x-score for a population value of 17.

The x-score for a population value of 17 is .
Transcript text: A population has mean $\psi=25$ and standard deviation $\pi=5$, Round the answers to two decimal places as needed. (a) Find the $z$-score for a population value of 8. The $z$-score for a population value of 8 is -3.4. (b) Find the 2 -score for a population value of 17. The x -score for a population value of 17 is $\square$.
failed

Solution

failed
failed

Solution Steps

Step 1: Given Information

We are provided with the following parameters for the population:

  • Mean (\( \mu \)) = 25
  • Standard Deviation (\( \sigma \)) = 5
Step 2: Calculate the z-score for a population value of 17

To find the z-score for a population value of 17, we use the formula:

\[ z = \frac{X - \mu}{\sigma} \]

Substituting the values into the formula:

\[ z = \frac{17 - 25}{5} = \frac{-8}{5} = -1.6 \]

Final Answer

The z-score for a population value of 17 is \(\boxed{-1.6}\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful