Respuesta :
Using the Central Limit Theorem, it is found that the option in which is it not appropriate to assume that the sampling distribution of the sample mean is approximately normal is:
C) A random sample of 10 taken from a population distribution that is skewed to the right
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
- For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In option C, there is an skewed variable and a sample size less than 30, hence, the Central Limit Theorem is not applicable.
A similar problem is given at https://brainly.com/question/4086221
