A severe drought affected several western states for 3 years. A Christmas tree farmer is worried about thedroughtʹs effect on the size of his trees. To decide whether the growth of the trees has been retarded, the farmerdecides to take a sample of the heights of 25 trees and obtains the following results (recorded in inches): $$\begin{array} { l l l l l l l l l l l l l }
60 & 57 & 62 & 69 & 46 & 54 & 64 & 60 & 59 & 58 & 75 & 51 & 49 \
67 & 65 & 44 & 58 & 55 & 48 & 62 & 63 & 73 & 52 & 55 & 50 &
\end{array}$$ The tree farmer feels the normal height of a tree that was unaffected by the drought would be 65 inches. Findthe z-score for a tree that is 65 inches tall.
A) z = 0.84
B) z = 0.98
C) z = 0.77
D) z = 0.98.

Question

A severe drought affected several western states for 3 years. A Christmas tree farmer is worried about thedroughtʹs effect on the size of his trees. To decide whether the growth of the trees has been retarded, the farmerdecides to take a sample of the heights of 25 trees and obtains the following results (recorded in inches): $$\begin{array} { l l l l l l l l l l l l l } 
60 & 57 & 62 & 69 & 46 & 54 & 64 & 60 & 59 & 58 & 75 & 51 & 49 \
67 & 65 & 44 & 58 & 55 & 48 & 62 & 63 & 73 & 52 & 55 & 50 &
\end{array}$$ The tree farmer feels the normal height of a tree that was unaffected by the drought would be 65 inches. Findthe z-score for a tree that is 65 inches tall.
A) z = 0.84
B) z = 0.98
C) z = 0.77
D) z = 0.98.

Quizplus · Accepted Answer

The z-score for a tree that is 65 inches tall is (65 - 65) / 5 = 0.

A Severe Drought Affected Several Western States for 3 Years