Question

Assume you have a normal distribution with a mean of 56 and a standard deviation of 6. Find the value that gives you a z-score of 1.80. Round your answer to the nearest HUNDREDTH.

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The value that gives a z- score of 1.80.

Given:

Mean(μ) = 56

Standard deviation (σ) = 6

x = ?

z = 1.80

Step 1

Recall the formula.

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

Step 2

Substitute the values into the formula.

`1.80=(x-56)/(6)`

Step 3

Cross - multiply.

`10.8=x-56`

Step 3

Add 56 to both-side of the equation.

`x=10.8+56`
`x=66.80`

ANSWER

66.80