A set of data items is normally distributed with a mean of 70 and a standard deviation of 2 . Convert 67 to a \( z \)-score. \( z_{67}= \) (Type an integer or a decimal.)

To convert a data item to a \( z \)-score, you can use the formula: \[ z = \frac{(X - \mu)}{\sigma} \] where \( \mu \) is the mean and \( \sigma \) is the standard deviation. Here, \( X = 67 \), \( \mu = 70 \), and \( \sigma = 2 \). So, \[ z_{67} = \frac{(67 - 70)}{2} = \frac{-3}{2} = -1.5 \] Thus, \( z_{67} = -1.5 \).