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According to the stock index, the return from January 2014 to December 2014 shows the average of 7% with standard deviation of 2.5%.
1) According to the Central Limit Theorem (CLT), what the sample
2) What is the
3) What is the probability that the sample mean is lower than 6.5% if we randomly select 100 stocks?
4) Suppose the population mean is unknown, but we know the population standard deviation is 2.5. What is the 95% confidence interval of population mean if the sample mean is 7.2$ and the sample standard deviation is 3% from randomly selected 25 stocks?
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