Answer:
The standard error of the mean for a sample size of 100 is 1.5.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sample means with size n of at least 30 can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation, which is also called standard error, [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have that:
[tex]\sigma = 15[/tex]
Calculate the standard error of the mean for a sample size of 100.
This is s when n = 100. So
[tex]s = \frac{15}{\sqrt{100}} = 1.5[/tex]
The standard error of the mean for a sample size of 100 is 1.5.
