We are told that the population has a mean of μ and standard deviation of σ.
From each sample of 42, we can compute a mean value of [tex]\Bar{x}[/tex].
We do not know the distribution for any sample.
According to the Central Limit Theorem, the distribution of the sample means will follow a normal distribution, regardless of the distribution of the individual samples.
Answer:
The distribution of sample means is normally distributed, and [tex]\Bar{x} \Rightarrow \mu[/tex],
