Question

Using the central limit theorem, what is the distribution of sample means when the population distribution is the following? part (a) rectangular

a)uniformly distributed
b)evenly distributed
c) normally distributed
d)positively skewed
e)negatively skewed

Answer 1

The distribution of sample means follows a normal distribution according to the Central Limit Theorem for various population distributions.

Step-by-step explanation:

The distribution of sample means when the population distribution is rectangular (uniformly distributed) is approximately normal, according to the Central Limit Theorem. This means that if we take samples of sufficient size from a population with a rectangular distribution, the distribution of the sample means will follow a normal distribution.

For other population distributions such as evenly distributed, normally distributed, positively skewed, and negatively skewed, the distribution of sample means will also follow a normal distribution due to the Central Limit Theorem, as long as the sample size is sufficiently large.