A Portfolio Manager Claims That the Mean Annual Return on One

Essay

A portfolio manager claims that the mean annual return on one of the mutual funds he manages exceeds 8%.To substantiate his claim,he states that over the past 10 years,the mean annual return for the mutual fund has been 9.5% with a sample standard deviation of 1.5%.Assume annual returns are normally distributed.
a.Specify the competing hypotheses to test the portfolio manager's claim.
b.Calculate the value of the test statistic.
c.At the 5% significance level,use the critical value approach to state the decision rule.
d.Is the portfolio manager's claim substantiated by the data? Explain.