Question

find the z - score. mean = 40 standard deviation: 1.4 x = 42 -1.4 1.24 1.43 1.28

Explanation:

Step1: Recall z - score formula

The formula for the z - score is $z=\frac{x-\mu}{\sigma}$, where $x$ is the data - point, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Substitute given values

We are given that $\mu = 40$, $\sigma=1.4$, and $x = 42$. Substitute these values into the formula: $z=\frac{42 - 40}{1.4}$.

Step3: Calculate the numerator

$42-40 = 2$. So, $z=\frac{2}{1.4}$.

Step4: Calculate the z - score

$\frac{2}{1.4}\approx1.43$.

Answer:

1.43