6. Normal Distribution and Continuous Random Variables

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?

In a standard normal distribution, what is the mean $\mu$ of the distribution?

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

For a standard normal distribution, what is the mean $\mu$ and standard deviation $\sigma$?

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

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

Which of the following statements is true about the standard normal 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?