Step 1 :Given that the population mean (\(\mu\)) is 70, the standard deviation (\(\sigma\)) is 12, and the sample size (n) is 81.
Step 2 :According to the Central Limit Theorem, the mean of the sampling distribution of sample means is equal to the population mean.
Step 3 :Therefore, the mean of the sampling distribution of sample means is \(\mu = 70\).
Step 4 :Final Answer: The mean of the sampling distribution of sample means is \(\boxed{70}\).