Question

You collect a small sample of 20 fund returns, which turns out to have a sample...

You collect a small sample of 20 fund returns, which turns out to have a sample mean of 7 % and a sample standard deviation of 6 %. Assuming fund returns are normally distributed, what is the lower bound of the 95% confidence interval for fund returns?

The answer should be 4.19. You can use Excel to solve, just show the formulas that were used.

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Answer #1

Using t distribution since sample is less than 20

Number of Funds(n) 20
Mean 7%
Standard deviation 6%
t value for 95% confidence interval 2.093024 Excel Formula =T.INV(97.5%,19))
Lower bound 4.19% Formula= 7%-2.093024*6%/(20^0.5)

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