Every year, more than \[100{,}000\] testers take the Law School Admission Test (LSAT). One year, the scores had a mean and standard deviation of approximately \[151\] and \[9\] points, respectively. Suppose that in the scoring process, test officials audit random samples of \[36\] tests, which involves calculating the sample mean score \[\bar x\] for each sample.
Calculate the mean and standard deviation of the sampling distribution of \[\bar x\].