In a standard normal distribution, approximately what percentage of the data falls within one standard deviation of the mean (that is, between $-1$ and $1$ on the z-score scale)?

Suppose $X$ is a standard normal random variable with density function $f\left(x\right)$. What is the value of $P(1<X<4)$?

Given the mean of a normal distribution is $\mu$ and the standard deviation is $\sigma$, what is the mean of the corresponding standard normal distribution after standardizing the variable?

Which of the following is a similarity between the $t$ distribution and the standard $z$ distribution?

If an observation has a z-score of $z=0$ in the standard normal distribution, what does this indicate about the observation's value relative to the mean?

For the standard normal distribution, what is the probability that $0.6\le z\le 2.12$? Choose the closest value.

For the standard normal distribution, what $z$-value corresponds to a lower-tail probability of $1\%$?

Which of the following data sets best approximates a standard normal distribution?