Final answer:
The sampling distribution of x-bar is the distribution of all possible sample means that can be obtained from a population. It has the same mean as the population mean, but a smaller standard deviation. The standard deviation of the sampling distribution of x-bar can be calculated using the formula sigma/sqrt(n), where sigma is the population standard deviation and n is the sample size.
Step-by-step explanation:
The sampling distribution of x-bar is the distribution of all possible sample means that can be obtained from a population. In this case, the population has a mean, mu, of 73 and a standard deviation, sigma, of 32. The sampling distribution of x-bar will have the same mean as the population mean, but the standard deviation will be smaller. The standard deviation of the sampling distribution of x-bar, also known as the standard error, can be calculated using the formula sigma/sqrt(n), where sigma is the population standard deviation and n is the sample size. In this case, the standard deviation of the sampling distribution of x-bar is 32/sqrt(64) = 4.