Which of the following statements about the Central Limit Theorem (CLT) is correct?
مرکزی حد تھیوریم کے بارے میں درج ذیل میں سے کون سا بیان درست ہے؟
- The CLT states that the sample mean x is always equal to the population mean, μ
- The CLT states that the sampling distribution of the sample mean x is approximately normal, for large sample sizes (n>30)
- The CLT states that the sample mean x is equal to the population mean m, provided that n>30
- The CLT states that the sampling distribution of the population mean m is approximately normal, provided that n>30
Explanation
- The Central Limit Theorem (CLT) states that, given certain conditions, the sampling distribution of the sample mean (x̄) will be approximately normal, even if the underlying population distribution is not normal.
- This is true for large sample sizes (typically n > 30).
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