Question

If you were given a topographic map of a proposed pond and you were asked to compute the volume of water that the pond would hold, which method would be best?

Answer #1

1. You have been asked to find the volume of a small pond.
Assume that the pond is perfectly mixed and that there is no flow
into or out of the pond. you dump 5L of a 3M solution of a dye
which degrades with a half life of 5 days. you take a 100ml sample
after 1 week. the dye's concentration in the sample is 1 x
10-6 M. what is the pond volume.

Suppose you were asked to conduct a cost-benefit
analysis of a proposed regulation
that would reduce air pollution in an urban area by a
certain amount. What method(s)
would you use to do so? What are some measures you could
take to make sure that
your recommendation was both economically efficient and
just? Justify your answer.

Suppose you were asked to conduct a cost-benefit analysis of a
proposed regulation that would reduce air pollution in an urban
area by a certain amount. What method(s) would you use to do so?
(ex: What are some measures you could take to make sure that your
recommendation was both economically efficient and just? Justify
your answer.

A change was proposed in the mathematics curriculum at a
college. 70 mathematics majors were asked whether they approved of
the proposed change. The results of the survey follow. Approved No
opinion Did not approve
Female 21 6 12
Male 14 10 7
Suppose that a mathematics major is selected by chance. Find the
probability that (a) The student is female, given no opinion. (b)
The student approves of the proposed change. (c) The student is
male, given the student...

Suppose you are asked to assess the likely effects of a proposed
horizontal merger in a particular industry. What are the things you
would look at and how would each of these help you make your
assessment?

A sample of 200 executives is asked
the question: “If you were given an offer by another company equal
to or slightly better than your present position, would you remain
with the company or take the other position?” The responses of the
200 executives in the survey were cross-classified with their
length of service with the company, giving the results below:
Length of Service
Loyalty
< 1
1 - 5
6 - 10
> 10
Remain
10
30
5
75...

(Convegence to fixed point)
You were standing in the middle of a landscape holding a map of
the same area horizontally in front of you. Explain that there is
one point on the map that is vertical to the corresponding point in
landscape

If you were asked to design a capacitor in which small size and
large capacitance were required, what would be the two most
important factors in your design?

Eleven pet owners were asked the question: "How many pets do you
have?'' Here are their responses:
1,1,3,7,3,2,1,2,10,1,2
Compute the inter-quartile range, and the sample standard
deviation. Which measure of spread would you prefer to report?
Explain your computations and decision below.

The president of the company you work for has asked you to
evaluate the proposed acquisition of a new chromatograph for the
firm’s R&D department. The equipment's basic price is $160,000,
and it would cost another $24,000 to modify it for special use by
your firm. The chromatograph, which falls into the MACRS 3-year
class, would be sold after 3 years for $56,000. The MACRS rates for
the first 3 years are 0.3333, 0.4445 and 0.1481. Use of the
equipment...

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