Using the Central Limit Theorem, it is found that the standard deviation of the sampling distribution of this sample mean is of 96.6 hours.
The Central Limit Theorem states that for a sample of size n, from a population of standard deviation [tex]\sigma[/tex], the standard deviation of the sampling distribution is given by:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have that: [tex]\sigma = 1356, n = 197[/tex]
Then
[tex]s = \frac{1356}{\sqrt{197}} = 96.6[/tex]
The standard deviation of the sampling distribution of this sample mean is of 96.6 hours.
A similar problem is given at https://brainly.com/question/15122730
