1. A forester measured a sample of trees in a tract of land being sold for…

1. One forester took a sampling of trees from a parcel of land and measured them.
She was sold as a timber harvest. She found a median among 27 trees.
The diameter is 10.4 inches, with a standard deviation.
Imagine that the sample she sent is an exact representation of the entire thing.
tract of land. The tree dimensions must follow a standard.
distribution. If applicable, you can round up to 2 decimal points

(a) Draw a diagram of the distribution of diameters of trees.
The mean and one standard deviation are labeled in either
direction.

(b). What size would you estimate the central 95% to be?
be?

(c) How much trees should less than one inch be?
diameter?

(d). What should the percentage of trees be? Between 10.4 and 19.8
inches in diameter?

(e). What is the minimum tree diameter?
Placed in the Top 5% of All Trees on the Tract regarding their
size?

(f). Suppose a forester looked at an additional tract of land.
found that those tree’s diameters also followed a normal
Distributed with a average diameter of 12.3 inches and with a standard
Deviation of 2.25 in. Is it more common to see a tree?
With a 15 inch diameter in the first parcel of land.
either in the section described below? Hint: use z-scores.
To earn full credit for your work, you need to support it mathematically
saying “1St tract” or “2nd tract” is not
sufficient.

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