coexpennan

2020-12-03

Round each z-score to the nearest hundredth.

A data set has a mean of

$x=6.8$

and a standard deviation of 2.5. Find the z-score.

$x=6.2$

A data set has a mean of

and a standard deviation of 2.5. Find the z-score.

davonliefI

Skilled2020-12-04Added 79 answers

Obtain the Z-score for the random variable X value equals 6.2.

The Z-score for the random variable X value equals 6.2 is obtained below as follows:

Let X denote the random variable with the population mean 6.8 and the standard deviation of 2.5.

The required value is,

$Z=\frac{X-\mu}{\sigma}$

$=\frac{6.2-6.8}{2.5}$

$=\frac{-0.6}{2.5}=-0.24$

The Z-score for the random variable X value equals 6.2 is -0.24.

The Z-score for the random variable X value equals 6.2 is obtained below as follows:

Let X denote the random variable with the population mean 6.8 and the standard deviation of 2.5.

The required value is,

The Z-score for the random variable X value equals 6.2 is -0.24.

Jeffrey Jordon

Expert2021-11-14Added 2575 answers

Answer is given below (on video)