A study on the length of time a person brushes their teeth is conducted on a large population of adults. The mean brushing time is $\mu$ and the standard deviation is $\sigma$. A simple random sample of 220 adults is considered. (NOTE: For the following problems enter: " GREATER THAN ", " EQUAL TO ", " LESS THAN ", or " NOT ENOUGH INFORMATION ", without the quotes.)
(a) The mean of the sampling distribution is the mean of the population.
(b) The standard deviation of the sampling distribution is the standard deviation of the population.

Step 1 ：A study on the length of time a person brushes their teeth is conducted on a large population of adults. The mean brushing time is \(\mu\) and the standard deviation is \(\sigma\). A simple random sample of 220 adults is considered.

Step 2 ：(a) The mean of the sampling distribution is the mean of the population. This is a fundamental property of sampling distributions. So, the mean of the sampling distribution is EQUAL TO the mean of the population.

Step 3 ：(b) The standard deviation of the sampling distribution is not the same as the standard deviation of the population. Instead, it is the standard deviation of the population divided by the square root of the sample size. This is known as the standard error. So, the standard deviation of the sampling distribution is LESS THAN the standard deviation of the population.

Step 4 ：Final Answer: \(\boxed{\text{(a) The mean of the sampling distribution is EQUAL TO the mean of the population.}}\)

Step 5 ：Final Answer: \(\boxed{\text{(b) The standard deviation of the sampling distribution is LESS THAN the standard deviation of the population.}}\)