Question

Please help me with this example I’m not sure how to do it properly I’m a 61 year old woman with preparing for her GED I have not looked in the math textbook for math book in over three decades it says I’m supposed to use the numbers and talking into the phone I do not know how to do that please show me step-by-step so I can learn

Answer 1

We need to find the value of X in each case.

The problem tells us to use the formula:

`X=\mu+Z\sigma`

First, let's identify what each of the terms in the formula stands for. We have:

`\begin{gathered} X:\text{ the value we need to find} \\ \\ \mu:\text{ the mean of the distribution } \\ \mu=9 \\ \\ Z:\text{ the z-score specific to each value of X} \\ \\ \sigma:\text{ the standard deviation of the distribution} \\ \sigma=2 \end{gathered}`

Now, we need to replace Z with the value given in each item, replace μ with 9 and replace σ with 2.

By doing so, we obtain:

A) Z = -0.5

`\begin{gathered} X=\mu+Z\sigma \\ \\ X=9+(-0.5)2 \\ \\ X=9-0.5*2 \\ \\ X=9-1 \\ \\ X=8 \end{gathered}`

B) Z = 0

`\begin{gathered} X=\mu+Z\sigma \\ \\ X=9+0*2 \\ \\ X=9+0 \\ \\ X=9 \end{gathered}`

C) Z = 1.96

`\begin{gathered} X=\mu+Z\sigma \\ \\ X=9+1.96*2 \\ \\ X=9+3.92 \\ \\ X=12.92 \end{gathered}`

Answer

A) X = 8

B) X = 9

C) X = 12.92