6. Normal Distribution and Continuous Random Variables

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?

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 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?

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

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