The Bats of Texas questions statistics homework help

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 percentile 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.

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