The reason the Central Limit Theorem (CLT)is such an important result in statistics is because:
A) The CLT allows us to assume that the population distribution is approximately normal,provided n is reasonably large
B) The CLT allows us to estimate the population mean without knowing the exact form of the population distribution,provided n is reasonably large
C) The CLT allows us to construct confidence intervals for the population mean without knowing the exact form of the population distribution,provided n is reasonably large
D) All of these options

Question

Quizplus · Accepted Answer

The Central Limit Theorem (CLT) is important in statistics because it offers all three benefits mentioned in options A, B, and C. It allows us to assume a normal distribution of the population, estimate the population mean without knowing the precise form of the population distribution, and construct confidence intervals of the population mean without knowing the exact form of the population distribution, given a large enough sample size (n). Therefore, option D is the correct answer.

The Reason the Central Limit Theorem (CLT)is Such an Important