Mutual funds are classified as load or no-load funds. Load funds require an investor to pay an initial fee based on a percentage of the amount invested in the fund. The no-load funds do not require this initial fee. Some financial advisors argue that the load mutual funds may be worth the extra fee because these funds provide a higher mean rate of return than the no-load mutual funds. A sample of 30 load mutual funds and a sample of 30 no-load mutual funds were selected. Data were collected on the annual return for the funds over a five-year period. The data are contained in the data set Mutual. The data for the first five load and first five no-load mutual funds are as follows.

a. Formulate H0 and Ha such that rejection of H0 leads to the conclusion that the load mutual funds have a higher mean annual return over the five-year period.
b. Use the 60 mutual funds in the data set Mutual to conduct the hypothesis test. What is the p-value? At α = .05, what is yourconclusion?

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Mutual Funds--Load Mutual Funds- No-Load Return American National Growth Arch Small Cap Equity Bartlett Cap Basic Calvert World International Colonial Fund A Return 15.51 14.57 17.73 10.31 16.23 Amana Income Fund Berger One Hundred Columbia International Stock Dodge & Cox Balanced Evergreen Fund 13.24 12.13 12.17 16.06 17.61