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The Owner of a Local Nightclub Has Recently Surveyed a Random

question 14

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The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is over 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years. If she wants to be 99% confident in her decision, what decision should she make?

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Definitions:

Treynor Measure

A performance metric for determining how well an investment portfolio or fund has performed on a risk-adjusted basis, using beta as the risk measure.

Residual Standard Deviation

A measure of the amount of variability or dispersion of a set of data points around a regression line not explained by the regression itself.

Beta

A measure of a stock's volatility in relation to the overall market; a beta greater than 1 indicates higher volatility than the market, while a beta less than 1 indicates lower volatility.

Style Analysis

A technique used in finance to determine the investment strategy of a fund or portfolio by breaking down its holdings into meaningful characteristics or styles such as size, value, or growth orientation.

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