About the Z-Statistic
The Z-Statistic tells you how far a value (or sample mean) is from the population mean, in units of standard deviation. As a mnemonic, the Z-Statistic is the "Zip-Code" of the score - how far it has gone from the center (or the mean)
How to Interpret the Z-Statistic?
If your z = 0, sample mean = population mean
z > 0, sample mean is above population mean
z < p, sample mean is below population mean
Rule of Thumb:
The bigger the |z|, the more unlikely the sample is, if the population mean is correct.