Answer:
The standard error of the sampling distribution of sample mean is: 6.5
Step-by-step explanation:
We use the Central limit theorem to solve this question.
The Central Limit Theorem estabilishes that, for a random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], a large sample size can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation, which is also called standard error of the sampling distribution of sample mean is [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have that:
[tex]\sigma = 39, n = 36[/tex]
[tex]s = \frac{39}{\sqrt{36}} = 6.5[/tex]
The standard error of the sampling distribution of sample mean is: 6.5
