APFIVE CLT and the Normal/Large Sample Condition
In a two-sample t-test for the difference of two population means, how does the Central Limit Theorem contribute to meeting the normality condition?
A
It allows us to assume that the population variances are equal, simplifying the calculation of the test statistic.
B
It guarantees that the individual samples are always normally distributed, regardless of sample size or population shape.
C
It ensures that the sampling distribution of the difference in sample means is approximately normal for large sample sizes, regardless of the underlying population distributions.
D
It ensures that the t-distribution closely approximates the z-distribution, eliminating the need for degrees of freedom considerations.
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