Answer:
A) approximately normal with mean = 2.2 and standard deviation = 0.6
Step-by-step explanation:
The Central Limit Theorem estabilishes 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.
Population:
Shape unknown
Mean 2.2
Standard deviation 6.
Samples of 100:
By the Central Limit Theorem,
Approximately normal.
Mean 2.2.
Standard deviation [tex]s = \frac{6}{\sqrt{100}} = 0.6[/tex]
So the correct answer is:
A) approximately normal with mean = 2.2 and standard deviation = 0.6
