6. Normal Distribution and Continuous Random Variables

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?

Which of the following is a property of the standard normal distribution?

For the standard normal distribution ($Z\sim N(0,1)$), what is the area under the curve to the right of the mean ($\mu =0$)?

In a perfectly normal distribution of scores, what percentage of the data falls within $1\sigma$ of the mean $\mu$?

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

Which of the following is most likely to be modeled by a $standardnormaldistribution$?

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

For a normal distribution, which of the following statements is true about the $\mathrm{mean}$, $\mathrm{median}$, and $\mathrm{mode}$?

For the standard normal distribution, what is the total area under the normal curve?

Which of the following is a characteristic of the standard normal probability distribution?