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Determine and Interpret Z-Scores
-A Severe Drought Affected Several Western 60576269465464605958755149\begin{array} { l l l l l l l l l l l l l } 60 & 57 & 62 & 69 & 46 & 54 & 64 & 60 & 59 & 58 & 75 & 51 & 49 \end{array}

question 153

Multiple Choice

Determine and Interpret z-Scores
-A severe drought affected several western states for 3 years. A Christmas tree farmer is worried about the drought s effect on the size of his trees. To decide whether the growth of the trees has been retarded, the farmer decides to take a sample of the heights of 25 trees and obtains the following results (recorded in inches) : 60576269465464605958755149\begin{array} { l l l l l l l l l l l l l } 60 & 57 & 62 & 69 & 46 & 54 & 64 & 60 & 59 & 58 & 75 & 51 & 49 \end{array}
605762694654646059587551676544585548626373525550\begin{array} { l l l l l l l l l l l l } 60 & 57 & 62 & 69 & 46 & 54 & 64 & 60 & 59 & 58 & 75 & 51 \\ 67 & 65 & 44 & 58 & 55 & 48 & 62 & 63 & 73 & 52 & 55 & 50 \end{array}
676544585548626373525550\begin{array} { l l l l l l l l l l l l } 67 & 65 & 44 & 58 & 55 & 48 & 62 & 63 & 73 & 52 & 55 & 50 \end{array} The tree farmer feels the normal height of a tree that was unaffected by the drought would be 65 inches. Find the z-score for a tree that is 65 inches tall.

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Definitions:

Economic Profit

Economic profit is the difference between total revenue and total costs, including both explicit and implicit costs, measuring the profit that exceeds the next best alternative use of resources.

Short Run

A period in economics during which at least one input is fixed and cannot be changed, limiting the ability of a firm to adjust to market changes.

Fixed Inputs

Resources used in the production process whose quantity cannot easily be changed in the short run, such as buildings and machinery.

Marginal Product

The additional output that is produced by adding one more unit of a specific input, ceteris paribus (with all other inputs held constant).

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