Question

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 12. an individuals iq score is found to be 115. find the z - score corresponding to this value. round the answer to the nearest hundredth.
a. 1.67
b. 0.60
c. - 0.60
d. - 1.67

Explanation:

Step1: Recall the z - score formula

The z - score formula is \(z=\frac{x-\mu}{\sigma}\), where \(x\) is the data point, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.
Given \(x = 115\), \(\mu=95\), and \(\sigma = 12\).

Step2: Substitute the values into the formula

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Answer:

A. 1.67