What type of property of the normal distribution states that,for any population,the
Distribution of sample means approaches a normal distribution as sample size increases?
A)Pascal's Law
B)Bernouli's Law
C)Standard normal distribution
D)Central limit theorem
E)Confidence interval theorem

Question

Quizplus · Accepted Answer

The central limit theorem (CLT) is a fundamental property of the normal distribution which states that the distribution of sample means (or sums) approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. This is a key assumption for many statistical procedures, such as hypothesis testing or confidence intervals, where we assume that our sample comes from a normally distributed population (or at least a large enough sample, so that the CLT applies). Pascal's Law, Bernoulli's Law, and Confidence Interval Theorem are not directly related to the normal distribution or the CLT. The standard normal distribution is a specific case of the normal distribution with a mean of 0 and standard deviation of 1, which is often used for standardization purposes.

What Type of Property of the Normal Distribution States That,for