Pearson eText Business Statistics: First Course -- Instant Access (Pearson+)
8th Edition
ISBN: 9780136880974
Author: David Levine, David Stephan
Publisher: PEARSON+
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Shortleaf Pines. The ability to estimate the volume of a tree based on a simple measurement, such as the diameter of the tree, is important to the lumber industry, ecologists, and conservationists. Data on volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines was reported in C. Bruce and F. X. Schumacher’s Forest Mensuration (New York: McGraw-Hill, 1935) and analyzed by A. C. Akinson in the article “Transforming Both Sides of a Tree” (The American Statistician, Vol. 48, pp. 307–312). The data are provided on the WeissStats site.
a. obtain and interpret the standard error of the estimate.
b. obtain a residual plot and a normal probability plot of the residuals.
c. decide whether you can reasonably consider Assumptions 1–3 for regression inferences met by the two variables under consideration.
An engineer who accidentally inhaled poisonous fumes was given treatment for it.
The concentration of poison in the engineer's blood was measured every hour.
The table below shows the record:
Hours Since
Inhal ati on
1
5
Concentration
38.1
31.2
28.6
26.9
25.4
ug/ cm)
The data in the table can be modelled by h = a +b lIn C, where h is the number of
hours since the accident and C is the concentration of poison in the blood.
If the engineer is allowed to return to work when the concentration of poison falls
below 0.2, how many days must they wait to return to work? (Round your answer UP
to the nearest day).
Answer:
3.
2.
1. Can balloons hold more air or more water before bursting? A student purchased a large bag
of 12-inch balloons. He randomly selected 10 balloons from the bag and then randomly
assigned half of them to be filled with air until bursting and the other half to be filled with water
until bursting. He used devices to measure the amount of air and water was dispensed until the
balloons burst.
Here's the data:
Air (ft')
Water (ft)
0.52
0.44
0.58
0.41
0.50
0.55
0.46
0.61
0.38
0.45
Does the data give convincing evidence air filled balloons can attain a greater volume than
water filled balloons?
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