6. Normal Distribution and Continuous Random Variables

If Cynthia's test score is $1.5$ standard deviations above the mean, what is her $z$-score in the standard normal distribution?

Which of the following accurately describes the proportions in the tails of a standard normal distribution?

In the $SND$ (standard normal distribution), what happens to the graph of the normal curve as the mean $\mu$ increases while the standard deviation $\sigma$ remains constant?

For the standard normal distribution, what is the area under the curve to the left of $z=1$?

Which of the following does not describe the standard normal distribution?

Using the standard normal table, what is the probability that $z\ge 1.4$? Round your answer to the nearest percent.

Which of the following does not describe the standard normal distribution?

The standard normal curve is associated with which normal distribution?

Which of the following is true regarding the standard normal distribution?

Which of the following does not describe the standard normal distribution?

Assume the random variable $x$ is normally distributed with mean $\mu$ and standard deviation $\sigma$. What is the standard normal variable $z$ corresponding to a value $x$?

For the standard normal probability distribution, the area to the left of the $\mathrm{mean}$ is:

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

For a two-tailed hypothesis test at the $5\%$ significance level using the standard normal distribution, what are the critical value(s) for $z$?

For a standard normal distribution, if the probability that a value is less than $z$ is $0.975$, what is the smallest value of $z$ that satisfies this requirement?