Which of the following statements is correct? 1)According to the central limit t

Question

Which of the following statements is correct?

1)According to the central limit theorem, the sample mean of a random
sample can be approximated by an exponential distribution, when the
sample size is very large.

2)The sample mean is an unbiased estimator for the population mean.

3)If I obtain a 95% confidence interval [3.5, 4.7] for the population
mean, then it means that there is a probability 0.95 that the interval
[3.5, 4.7] covers the population mean.

4)According to the law of large numbers, if I flip a fair coin and obtain
10 heads in a row, then the probability the next flip will again be a
head will be smaller than 0.5, since I'm due for a tail.

Explanation / Answer

The statement

2)The sample mean is an unbiased estimator for the population mean.

Is the correct statement.

As

Statement 1) is incorrect as by central limiting theorem the approximation is normal

Statement 3) is incorrect as per the definition of confidence interval

Statement 4) is also incorrect because of the law of large number

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.