IXL - Find z-values (Algebra 2 practice)

Which

-values

correspond to the bottom

of the standard normal distribution?

Round your answer to the nearest thousandth.

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Learn with an example

question

Which

-values

correspond to the bottom

of the standard normal distribution?

Round your answer to the nearest thousandth.

key idea

The standard normal distribution is the normal distribution with mean 0 and standard deviation 1. A random variable with the standard normal distribution is called a standard normal

variable.

Specific values of a standard normal variable are often called

-values

A normal distribution is symmetric around the mean.

solution

Let

be a standard normal variable. You want to find the value

such that

(

)

This corresponds to the bottom

of the values in population.

70%

Find

Use a calculator to find the value

such that

(

)

0.7

(

0.524400…

)

0.7

This means that

0.524400…

State the answer.

So, the

-values

which correspond to the bottom

of the standard normal distribution are the ones satisfying this inequality:

0.524400…

Round to the nearest thousandth

0.524

Round to the nearest thousandth

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