Question

Can you please help mepart 2: z = -2part 3: z = 0part 4: z = 2.3part 5: z = -2.5

Answer 1

In order to calculate the salary for a z-score of 2, we can use the following formula:

`z=(x-\mu)/(\sigma)`

Where μ is the mean and σ is the standard deviation.

So, for z = 2, μ = 54134 and σ = 10320, we have:

`\begin{gathered} 2=(x-54134)/(10320) \\ x-54134=20640 \\ x=20640+54134 \\ x=74774 \end{gathered}`

The salary is $74,774.

2)

For z = -2, we have:

`\begin{gathered} -2=(x-54134)/(10320) \\ x-54134=-20640 \\ x=-20640+54134 \\ x=33494 \end{gathered}`

The salary is $33,494.

3)

For z = 0, we have:

`\begin{gathered} 0=(x-54134)/(10320) \\ x-54134=0 \\ x=54134 \end{gathered}`

The salary is $54,134.

4)

For z = 2.3, we have:

`\begin{gathered} 2.3=(x-54134)/(10320) \\ x-54134=23736 \\ x=23736+54134 \\ x=77870 \end{gathered}`

The salary is $77,870.

5)

For z = -2.5, we have:

`\begin{gathered} -2.5=(x-54134)/(10320) \\ x-54134=-25800 \\ x=-25800+54134 \\ x=28334 \end{gathered}`

The salary is $28,334.