Question 2 (1 point) A given distribution has a population mean, $\mu$, of 111 and a population standard deviation, $\sigma$, of 5 . What $z$-score would be associated with the value $x=100$ ? Round tọ two decimal places, as needed. Your Answer: Answer Question 3 (1 point)

Step 1 ：Given that the population mean, \(\mu\), is 111, the population standard deviation, \(\sigma\), is 5, and the value, \(x\), is 100.

Step 2 ：The z-score is calculated by subtracting the mean from the value and then dividing the result by the standard deviation.

Step 3 ：Substitute the given values into the z-score formula: \(z = \frac{x - \mu}{\sigma}\)

Step 4 ：Substitute \(\mu = 111\), \(\sigma = 5\), and \(x = 100\) into the formula: \(z = \frac{100 - 111}{5}\)

Step 5 ：Simplify the expression to get the z-score: \(z = -2.2\)

Step 6 ：Final Answer: The z-score associated with the value \(x=100\) is \(\boxed{-2.2}\)