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Say the height of mature trees of a particular species is normally distributed with mean 100 ft and standard deviation 15 feet. Let x dentote the height of the tree.

1.  If a tree is measured at 112 ft, find the z-score.

a.  -1.2

b.  -0.8

c.  0

d.  0.8

d.  1.2

2.  If a particular tree has a z-score of -1.4, find its height.

a.  79

b.  91

c.  106

d.  121

d.  133

3.  To the nearest tenth of one percent, what percentage of trees have a height between 95 ft and 120 ft?

a.  53.3\(\%\)

b.  53.8\(\%\)

c.  54.3\(\%\)

d.  54.8\(\%\)

d.  55.3\(\%\)

4.  To the nearest foot, find the height of a tree that is taller than 99% of trees of the same species and shorter than 1%.

a.  133 ft

b.  135 ft

c.  137 ft

c.  137 ft

d.  139 ft