Question: 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 from Barron's Lipper Mutual Funds Quarterly, January 12, 1998 . 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.

1. Formulate \(H_{0}\) and \(H_{\mathrm{a}}\) such that rejection of \(H_{0}\) leads to the conclusion that the load mutual funds have a higher mean annual return over the five-year period.

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