Normal Distribution

A normal distribution is symmetric.

• True

• False

The normal probability distribution is completely described by its mean and ________.

• variance

• standard deviation

• range

• mean deviation

The standard normal probability distribution has mean of 0 and a standard deviation of _____.

• $\frac{1}{2}$

• $-1$

• $1$

• $-\frac{1}{2}$

Any normal probability distribution can be converted to the standard normal probability distribution by the following formula

• $z=\frac{X-\mu}{\sigma}$

• $z=\frac{\mu-X}{\sigma}$

• $z=\frac{X+\mu}{\sigma}$

• $z=\frac{X\mu}{\sigma}$

Tags

CCSS.HSS.ID.A.4

By standardizing a normal probability distribution, we can report the distance of a value from the mean in units of the __________ .

• median

• standard deviation

• variance

• mode

The signed distance between a selected value, designated X, and the mean, μ, divided by the standard deviation, σ.

• p value

• z value

• r value

• t value

It was reported that the weekly income of Uber drivers followed the normal distribution with a mean of $1,000

and a standard deviation of $100. What is the z value corresponding to to x = $1,000?

• 1

• -1

• 0

• cannot be determined

It was reported that the weekly income of Uber drivers followed the normal distribution with a mean of $1,000

and a standard deviation of $100. What is the z value corresponding to to x = $1,100?

• 1

• -1

• 0

• cannot be determined

The distribution of weekly incomes follows the normal probability distribution, with a mean of $1,000 and a standard deviation of $100. What is the sign of the z value corresponding to an income of $750?

• negative

• positive

Tags

CCSS.HSS.ID.A.4

The distribution of weekly incomes follows the normal probability distribution, with a mean of $1,000 and a standard deviation of $100. What is the sign of the z value corresponding to an income of $1,200?

• negative

• positive

Tags

CCSS.HSS.ID.A.4