Question
You are investigating whether the population variance of returns on the Vanguard 500 Value Fund has changed subsequent to a restructuring of the fund that
You are investigating whether the population variance of returns on the Vanguard 500 Value Fund has changed subsequent to a restructuring of the fund that occurred in 2012. You have gathered monthly returns and variance data for the five years before the restructuring and the five years after the restructuring and that information is contained in the following table:
Time Period n Mean Monthly return % Variance of Returns
Before Restructuring 60 1.245 18.445
After Restructuring 60 1.320 20.775
A. Formulate the null and alternative hypothesis for your test. Show your work.
B. Identify what test statistic to use for testing your hypothesis and calculate the value for the test statistic. Show your work.
C. Determine whether or not to reject the null at a .10 level of significance. Show your work.
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