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The variance of the sample proportion of economists

(1) A random sample of 10 economists produced the following forecasts for percentage growth in real domestic product in the next year:

2.2 2.8 3.0 2.5 2.4 2.6 2.5 2.4 2.7 2.6

Use unbiased estimation procedures to find point estimates for the following:

(a) The population mean?

(b) The population variance?

(c) The variance of the sample mean

(d) The population proportion of economists predicting growth of at least

2.5% in real gross domestic product

(e) The variance of the sample proportion of economists predicting growth of at least 2.5% in real gross domestic product.

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