THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Each member of a random sample of 20 business economists was asked to predict the rate of inflation for the coming year.Assume that the predictions for the whole population of business economists follow a normal distribution with standard deviation 2%.
-Why does the sample size play such an important role in reducing the standard error of the mean? What are the implications of increasing the sample size?

Question

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The Answer of THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Each member of a random sample of 20 business economists was asked to predict the rate of inflation for the coming year.Assume that the predictions for the whole population of business economists follow a normal distribution with standard deviation 2%.
-Why does the sample size play such an important role in reducing the standard error of the mean? What are the implications of increasing the sample size?