Which of the following is/are FALSE about the central limit theorem? A. The CLT says that as the sample size nn increases to infinity, the sample mean converges to the population mean, given that the population mean and variance are finite. B. The CLT explains why the binomial distribution will approximately be normally distributed when nn is large. C. The CLT says that at a large sample size nn, the sample mean will be approximately normal with mean equal to the population mean and variance equal to the population variance divided by the sample size nn , given that the population mean and variance are finite. D. The CLT guarantees that all natural phenomena are normally distributed. E. The CLT is used in the derivation of the sampling distribution of the sample mean for hypotheses tests such as zz-test or tt-test. F. A and B G. C and D H. A and D I. B and E
Which of the following is/are FALSE about the central limit theorem?
The CLT says that as the
The CLT explains why the binomial distribution will approximately be
The CLT says that at a large sample size nn, the sample mean will be approximately normal with mean equal to the population mean and variance equal to the population variance divided by the sample size nn , given that the population mean and variance are finite.
The CLT guarantees that all natural phenomena are normally distributed.
The CLT is used in the derivation of the sampling distribution of the sample mean for hypotheses tests such as zz-test or tt-test.
A and B
C and D
A and D
B and E
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