Central Limit Theorem and T-Test Conditions
What is the role of the Central Limit Theorem (CLT) in justifying the use of a t-test for inference about a population mean?
A
It guarantees that the t-distribution always perfectly matches the population distribution, regardless of sample size.
B
It ensures that the sampling distribution of the sample mean is approximately normal for large sample sizes, regardless of the population distribution.
C
It demonstrates that the t-distribution converges to a uniform distribution as the sample size approaches infinity.
D
It proves that the t-test is always more accurate than other inferential methods, such as bootstrapping or permutation tests.
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