Use the Traditional Method to Test the Given Hypothesis

question 36

Essay

Use the traditional method to test the given hypothesis. Assume that the population is normally distributed and
that the sample has been randomly selected. Heights of men aged 25 to 34 have a standard deviation of 2.9. Use
a 0.05 significance level to test the claim that the heights of women aged 25 to 34 have a different standard
deviation. The heights (in inches) of 16 randomly selected women aged 25 to 34 are listed below. Round the
sample standard deviation to five decimal places. $$\begin{array} { | l l l l l l l l | } \hline 62.13 & 65.09 & 64.18 & 66.72 & 63.09 & 61.15 & 67.50 & 64.65 \\63.80 & 64.21 & 60.17 & 68.28 & 66.49 & 62.10 & 65.73 & 64.72 \\\hline\end{array}$$

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Definitions:

Gross Wages

Gross Wages refer to the total amount of compensation earned by an employee before any deductions or taxes are taken out.

Net Wages

The amount of an employee's earnings after all deductions, such as taxes and retirement contributions, have been subtracted.

Allowance or Exemption

A reduction in the amount of income that is subject to tax, or a legal deduction from reported income to reduce taxable income.

Nontaxable

Income or transactions that are not subject to taxation by government authorities.