The average annual return over the period 1926-2009 for small stocks is 21.2%, and the standard
deviation of returns is 21.2%. based on these numbers, what is a 95% confidence interval for
2010 returns?
a) -10.6%, 31.8%
b) 0%, 42.4%
c) -21.2%, 42.4%
d) -21.2%, 63.6%

The 95% confidence interval is between -21.2% and 63.6% (option D).

Explanation:

Hi, the empirical rule dictates that 95% of the data is found within +/- 2 standard deviations from the mean, therefore our interval can be found doing the following calculations.

That is:

Now, the higher limit.

So, the answer is D) -21.2%, 63.6%

Best of luck.

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explanation:

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so a paragraph topic must be chosen wisely where a single idea can be communicated in a single paragraph.

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