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 95 and a standard deviation of 13. an individuals iq score is found to be 102. find the z - score corresponding to this value. round the answer to the nearest hundredth. \n\na. -0.54\nb. -1.86\nc. 1.86\nd. 0.54

provide an appropriate response. use the standard normal table to find the probability. iq test scores are normally distributed with a mean of 95 and a standard deviation of 13. an individuals iq score is found to be 102. find the z - score corresponding to this value. round the answer to the nearest hundredth. \n\na. -0.54\nb. -1.86\nc. 1.86\nd. 0.54

Answer

Explanation:

Step1: Recall z - score formula

The formula for the z - score 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: Substitute given values

We are given that $x = 102$, $\mu=95$, and $\sigma = 13$. Substitute these values into the formula: $z=\frac{102 - 95}{13}=\frac{7}{13}\approx0.54$.

Answer:

D. 0.54