Large companies have the option of limiting their growth, but does doing so lead to higher profitability? The table below gives the profitability for a sample of twenty-one top-ranked companies, where profitability is expressed in terms of annual profit as a percentage of total company assets. The firms are divided into three groups by size of assets€”$50 billion or less, between $51 and $100 billion, and over $100 billion. Test the hypothesis that small- and medium-size companies are as profitable as large companies. Let α = 0.10.

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Size of Assets (billions of S) Between $51 and $100Greater than $100 $50 or Less 7.2 6.5 5.7 11.3 5.6 5.3 5.3 10.4 6.2 5.3 14.8 11.3 9.2 4.8 3.9 10.2 3.4 3.4