Consider the following table containing yields for mutual funds in different asset classes (small, mid, and large cap). Use a one-way ANOVA test to determine if there is a difference between the mean yields for the three asset classes, at the 0.05 level of significance. Assume the population distributions are approximately normal with equal population variances. Fund Yield by Asset Class SMALL CAP MID CAP LARGE CAP Small Cap Mid Cap Fund Yield (%) Fund Yield (%) Fund Yield (%) Explorer Value 2.21 Capital Value 0.95 Equity Income 3.16 Small-Cap Value Index Admiral 2.49 Mid-Cap Value Index Admiral 0.51 High Dividend Yield Index 3.59 Small-Cap Index Admiral Shares 2.03 Extended Market Index Admiral Shares 1.12 500 Index Admiral Shares 0.61 Strategic Small-Cap Equity 1.99 Mid-Cap Index Admiral Shares 1.47 Diversified Equity 1.32 Explorer 2.24 Mid-Cap Growth 1.39 FTSE Social Index 1.43 Small-Cap Growth Index Admiral 2.20 Capital Value 0.41 Growth Equity 0.80 Explorer Value 2.04 Strategic Equity 1.51 U.S. Growth 0.46 Small-Cap ETF 1.34 Capital Opportunity Admiral Shares 1.94 Windsor 1.73 Step 1 of 2 : Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to four decimal places. Step 2 of 2: Draw a conclusion and interpret the decision. Fail or reject? Is there enough evidence?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Consider the following table containing yields for mutual funds in different asset classes (small, mid, and large cap). Use a one-way ANOVA test to determine if there is a difference between the mean yields for the three asset classes, at the 0.05 level of significance. Assume the population distributions are approximately normal with equal population variances.

Fund Yield by Asset Class

SMALL CAP MID CAP LARGE CAP

Small Cap		Mid Cap
Fund	Yield (%)	Fund	Yield (%)	Fund	Yield (%)
Explorer Value	2.21	Capital Value	0.95	Equity Income	3.16
Small-Cap Value Index Admiral	2.49	Mid-Cap Value Index Admiral	0.51	High Dividend Yield Index	3.59
Small-Cap Index Admiral Shares	2.03	Extended Market Index Admiral Shares	1.12	500 Index Admiral Shares	0.61
Strategic Small-Cap Equity	1.99	Mid-Cap Index Admiral Shares	1.47	Diversified Equity	1.32
Explorer	2.24	Mid-Cap Growth	1.39	FTSE Social Index	1.43
Small-Cap Growth Index Admiral	2.20	Capital Value	0.41	Growth Equity	0.80
Explorer Value	2.04	Strategic Equity	1.51	U.S. Growth	0.46
Small-Cap ETF	1.34	Capital Opportunity Admiral Shares	1.94	Windsor	1.73

Step 1 of 2 :

Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to four decimal places.

Step 2 of 2: Draw a conclusion and interpret the decision. Fail or reject? Is there enough evidence?

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