Questions: When Steve Jobs was Chief Executive Officer (CEO) of Apple, he earned an annual salary of 1. The CEOs of the 50 largest U.S. companies had a mean salary of 1,449,779 and a standard deviation of 527,651 (based on data from USA Today) Convert Steve Jobs' salary to a z score. Round to 2 decimals. z =

When Steve Jobs was Chief Executive Officer (CEO) of Apple, he earned an annual salary of 1. The CEOs of the 50 largest U.S. companies had a mean salary of 1,449,779 and a standard deviation of 527,651 (based on data from USA Today)

Convert Steve Jobs' salary to a z score. Round to 2 decimals.

z =
Transcript text: Question 19 1 pts When Steve Jobs was Chief Executive Officer (CEO) of Apple, he earned an annual salary of \$1. The CEOs of the 50 largest U. S. companies had a mean salary of $\$ 1,449,779$ and a standard deviation of $\$ 527,651$ (based on data from USA Today) Convert Steve Jobs' salary to a z score. Round to 2 decimals. \[ z=\square \]
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Solution

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Solution Steps

To convert Steve Jobs' salary to a z score, we use the formula for the z score: \[ z = \frac{X - \mu}{\sigma} \] where \( X \) is Steve Jobs' salary, \( \mu \) is the mean salary, and \( \sigma \) is the standard deviation. Plug in the given values and calculate the z score.

Step 1: Identify the Given Values

We are given:

  • Steve Jobs' salary \( X = 1 \)
  • Mean salary \( \mu = 1,449,779 \)
  • Standard deviation \( \sigma = 527,651 \)
Step 2: Apply the Z Score Formula

The formula for the z score is: \[ z = \frac{X - \mu}{\sigma} \]

Step 3: Substitute the Given Values

Substitute the given values into the formula: \[ z = \frac{1 - 1,449,779}{527,651} \]

Step 4: Calculate the Z Score

Perform the calculation: \[ z = \frac{-1,449,778}{527,651} \approx -2.7476 \]

Step 5: Round the Z Score

Round the z score to 2 decimal places: \[ z \approx -2.75 \]

Final Answer

\(\boxed{z \approx -2.75}\)

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