Answer:
To find the z-score of a data value, we use the following formula:
z = (x - μ) / σ
where z is the z-score, x is the data value, μ is the mean of the distribution, and σ is the standard deviation.
Given a normal distribution with a mean (μ) of 146 and a standard deviation (σ) of 4, and a data value (x) of 153, we can plug these values into the formula:
z = (153 - 146) / 4
z = 7 / 4
z = 1.75
Thus, the z-score of the data value 153 is 1.75.