Suppose a normal distribution is shown on a graph with the mean marked at the center. If a point is marked one standard deviation above the mean, which value best represents the $z$-score of that point?

In Problems 5–12, find the indicated areas. For each problem, be sure to draw a standard normal curve and shade the area that is to be found.

Determine the area under the standard normal curve that lies to the right of

a. z = –3.49

In Problems 5–12, find the indicated areas. For each problem, be sure to draw a standard normal curve and shade the area that is to be found.

Determine the area under the standard normal curve that lies to the right of

b. z = –0.55

In Problems 5–12, find the indicated areas. For each problem, be sure to draw a standard normal curve and shade the area that is to be found.

Determine the area under the standard normal curve that lies to the right of

c. z = 2.23

Which of the following statements is true about a z-score?

Converting observations into $z$-scores is also called standardizing the observations.

Using a standard normal distribution, what is the $z$-score such that the area to the left of $z$ is $0.52$?

Given a normal distribution with mean $\mu$ = $0$ and standard deviation $\sigma$ = $1$, what are the z-scores that correspond to the boundaries of the middle 95% of the distribution as shown in a standard normal curve graph?

Suppose a normal distribution is shown with a mean of $\mu =0$ and a standard deviation of $\sigma =1$. If the shaded area to the left of the indicated point is $0.8413$, what is the z-score corresponding to the indicated point?