statistics – Henry

Stocks: Retail and Utility How profi table are different sectors of the stock market? One way to answer such a question is to examine profi t as a percentage of stockholder equity. A random sample of 32 retail stocks such as Toys “ R” Us, Best Buy, and Gap was studied for x1, profi t as a percentage of stockholder equity. The result was x1 5 13.7. A random sample of 34 utility ( gas and electric) stocks such as Boston Edison, Wisconsin Energy, and Texas Utilities was studied for x2, profi t as a percentage of stockholder equity. The result was x2 5 10.1 ( Source: Fortune 500, Vol. 135, No. 8). Assume s1 5 4.1 and s2 5 2.7. ( a) Let m1 represent the population mean profi t as a percentage of stockholder equity for retail stocks, and let m2 represent the population mean profi t as a percentage of stockholder equity for utility stocks. Find a 95% confi dence interval for m1 2 m2.

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