Final answer:
The standard error of the distribution of sample means can be calculated using the formula: standard error = standard deviation / square root of sample size. In this case, the standard error is approximately 3.229.
Step-by-step explanation:
The standard error of the distribution of sample means can be calculated using the formula:
standard error = standard deviation / square root of sample size
in this case, the population has a mean of 55 and a standard deviation of 27. Since the sample size is 70, we can calculate the standard error as follows:
standard error = 27 / sqrt(70)
Therefore, the standard error of the distribution of sample means is approximately 3.229.