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7. 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

7. 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 and 30 no-load funds were selected. Data were collected on the annual return for the funds over a five-year period.

Mutual Funds - LoadReturnMutual Funds - No LoadReturn
American National Growth15.51Amana Income Fund13.24
Arch Small Cap Equity14.57Berger One Hundred12.13
Bartlett Cap Basic17.73Columbia International Stock12.17
Calvert World International10.31Dodge & Cox Balanced16.06
Colonial Fund A16.23Evergreen Fund17.61
Common Sense Growth16.04Fidelity Fund20.61
Corefund Core Equity18.77Forthis Advtg Cap App13.38
Davis Convert Seurities18.21Founders Blue Chip Fund17.15
Deleware Small Cap17.27Goldman Core Fixed Income10.38
Dreyfus Premium Value11.95Heartland Value18.15
Federated Stocks & Bonds13.81Janus Fund15.82
First Invest FD for Income12.44Manstay Cap Appriciation17.29
Flag Inv Emerging Growth15.39Merrill Spec Value16.42
Fortis Equity Capital13.46Mutual Beacon19.49
FPA Capital23.66Oberweis Emerging Growth11.06
Franklin STR GL UT17.38Paine Webber Growth & Income13.89
Gabelli Value Fund22.45Pimco Total Return8.43
IDS New Dimensions18.38Prudential Equity18.29
John Hancock Growth & Income18.06Putnam Growth & Income17.80
Lord Abbett Dev Growth22.75Royce FD Micro-Cap17.05
Merrill Basic Value20.35Scudder Development12.80
MFS World Tot Return13.09Smith Barney Appreciation15.09
New England Growth Opp18.16Stein Roe Capital Oppty19.70
Oppenhmr Quest Small Cap14.47T Rowe Price Balanced13.57
Phoenix Worldwide15.78Thompson Plumb Growth18.58
Princor Bond8.40USAA Growth & Tax Strat11.89
Stagecoach Disd Income16.52Vanguard Equity Income19.00
United Contl Income12.59Vanguard Windsor20.71
Victory OH Regional18.24Vontobel Intl Equity13.56
Zweig SR TR Apprec14.80With Value19.82


The data are contained in the data set Mutual. Conduct an appropriate hypothesis test to determine whether the load funds have a higher mean annual return over the five-year period. Include the error you might be committing.

8. Suppose that it is generally accepted that the variance in returns for the Mutual question is considered equal for no-load and load funds. Redo your calculations as necessary.

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