If a normal distribution has a mean of 132 and a standard deviation of 20, what is the value that has a z-score of 2.4?

The z-score of a certain number in a normally distributed data is calculated through the equation,

z-score = (value - mean) / standard deviation

Substituting the known values,

z-score = (2.4 - 132) / 20 = - 6.48

Thus, the z-score of 2.4 is equal to - 6.48.