for a standard normal distribution, which of the following variables always equals 0?\nμ\nσ\nx\nz

for a standard normal distribution, which of the following variables always equals 0?\nμ\nσ\nx\nz

for a standard normal distribution, which of the following variables always equals 0?\nμ\nσ\nx\nz

Answer

Explanation:

Step1: Recall properties of standard normal

The standard normal distribution has mean $\mu = 0$ and standard - deviation $\sigma=1$.

Step2: Analyze each variable

  • $\mu$ represents the mean of the distribution. For a standard normal distribution, $\mu = 0$.
  • $\sigma$ represents the standard deviation. For a standard normal distribution, $\sigma = 1$.
  • $x$ is a raw - score from the original normal distribution before standardization. Its value can vary.
  • $z$ is the standardized score calculated as $z=\frac{x - \mu}{\sigma}$, and its value can vary depending on the value of $x$.

Answer:

$\mu$