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Exhibit 12

question 69

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Exhibit 12.8 The heights (in cm) for a random sample of 60 male employees of S&M Construction Company were measured.The sample mean is 166.5,the standard deviation is 12.57,the sample kurtosis is 0.12,and the sample skewness is -0.23. Refer to Exhibit 12.8.The Jarque-Bera test statistic for normality is assumed to follow a χ2 distribution with the following degrees of freedom:

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Definitions:

Controllable Expenses

Costs that can be influenced by the decisions of a manager.

Profit Center Management

The administration of a segment of a business that is directly responsible for its own revenue and expenses, aiming to maximize profits.

Salaries

Fixed regular payments made by employers to employees, typically expressed on an annual basis but paid in smaller increments such as monthly.

Departmental Personnel

Staff or workers who belong to a specific department within an organization, each contributing to its functional objectives.

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