provide an appropriate response. use the standard normal table to find the probability. iq test scores are…

provide an appropriate response. use the standard normal table to find the probability. iq test scores are normally distributed with a mean of 100 and a standard deviation of 15. an individuals iq score found to be 120. find the z - score corresponding to this value.\n\na. 0.67\nb. 1.33\nc. -1.33\nd. -0.67

provide an appropriate response. use the standard normal table to find the probability. iq test scores are normally distributed with a mean of 100 and a standard deviation of 15. an individuals iq score found to be 120. find the z - score corresponding to this value.\n\na. 0.67\nb. 1.33\nc. -1.33\nd. -0.67

Answer

Explanation:

Step1: Recall z - score formula

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x$ is the value from the data set, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify values

We are given that $\mu = 100$, $\sigma=15$, and $x = 120$.

Step3: Substitute values into formula

$z=\frac{120 - 100}{15}=\frac{20}{15}=\frac{4}{3}\approx1.33$

Answer:

B. 1.33