Suppose that Y1 . Y are iid random variables with a N distribution. How would th

Question

Suppose that Y1 . Y are iid random variables with a N distribution. How would the probability density of Y change as the sample size n increases? Hint: Think about the law of large numbers. O A As the sample size increases, the variance of?decreases. So, the distribution of becomes highly concentrated around . B. As the sample size increases, the variance of Y decreases. So, the distribution of Y becomes less concentrated around Y. C. As the sample size increases, the variance of Y increases. So, the distribution of Y becomes highly concentrated around y. D. As the sample size increases, the variance of Y increases. So, the distribution of Y becomes less concentrated around py

Explanation / Answer

here casue std error of mean is inversely proportional to sample size ; therefore as n increases variance of Ybar decreases

option A is correct.

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