Answer & Explanation:1.
The former
President of Oklahoma State University, David J. Schmidly,
wrote a book titled, The Bats of Texas. A type of bat described in the book is the Ghost-faced Bat. This is a cave dwelling bat and the
non-reproducing females live in interior cave chambers that have an average
temperature of 92.4F with a standard deviation of 0.45F. This problem set is similar to our in class
exercise on Lesson 5, but it has different numbers. For each of these questions please state the
answer.
a.
What is the numerical interval that describes the
set of non-reproducing female interior cave chamber temperatures that are
within one standard deviation of the mean?
b.
Assuming that the temperature of non-reproducing
female interior cave chambers has a
mound-shaped distribution, then
only approximately 2.5% of the time the interior cave
chamber temperature exceed what value?
c.
State the value of the 84th perc
entile
for the variable non-reproducing female interior cave chamber temperature,
assuming that the temperature of the non-reproducing female interior cave
chambers has a mound-shaped distribution.
d.
Assuming that the temperature of non-reproducing
female interior cave chambers has a mound-shaped distribution, then
one could conclude that approximately 100% of the non-reproducing female
interior cave chambers temperatures are between what two values?
e.
If nothing is known about the shape of the
distribution of the temperature of non-reproducing female interior cave
chambers, then one could conclude that at most 25% of the temperatures exceeded
what value?
f.
What is the z-score associated with the
non-reproducing female interior cave chamber temperature of 91.59?
g.
What is the temperature of a specific non-reproducing
female interior cave chamber if it is associated with a z-score of 1.25? Round to 1 digit past decimal.