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:

MRTS

The Marginal Rate of Technical Substitution measures the rate at which one input can be substituted for another input in the production process, while keeping output constant.

Pareto Optimality

A distribution of resources where no one can be made better off without causing detriment to at least one other person.

Utilities Possibilities Frontier

A graphical representation that shows the maximum number of goods or services that two countries can produce using their resources efficiently.

Efficient

Achieving maximum productivity with minimum wasted effort or expense; effectively utilizing resources.