Given a population mean of 135 and a standard deviation of 5, what data point, x, would result in a z-score 1.6 (1 point )
The formula to calculate the z-score is:
z = (x - mean) / standard deviation
Given that the z-score is 1.6, the mean is 135, and the standard deviation is 5, we can rearrange the formula to solve for x:
1.6 = (x - 135) / 5
Multiplying both sides by 5:
8 = x - 135
Adding 135 to both sides:
x = 143
Therefore, the data point x that would result in a z-score of 1.6 is 143.