Box, Hunter, and Hunter have analyzed the dispersion of an
aerosol spray as a function of...
Box, Hunter, and Hunter have analyzed the dispersion of an
aerosol spray as a function of its age. The dispersion y
is measured as the reciprocal of the number of particles in a unit
volume. Age x is measured in minutes. The experiments were
performed in random order, but their results are listed here in
increasing order of x:
Age, x
Dispersion, y
8
6.16
22
9.88
35
14.35
40
24.06
57
30.34
73
32.17
78
42.18
87
43.23
98
48.76
Find a 95% prediction interval estimate of the dispersion for
an individual aerosol
spray of age 90.
Which of the interval in h) and i) is the widest? Explain
why.
You and your partner treasure hunter have uncovered a box of
coins from the ancient civilization of Hyrule. The box contains 2
big coins, 3 silver coins, 4 shiny coins, and 5 tiny coins! The two
of you decide to split the contents of the box evenly. You and your
partner flip a coin and decide that you will have the hard job of
being the divider. Then your partner will pick the pile they value
more. You took a...
Two students in your class, Hunter and Maggie, are disputing a
function. Hunter says that for the function, between x = –2 and x =
2, the average rate of change is 0. Maggie says that for the
function, between x = –2 and x = 2, the graph goes up through a
turning point, and then back down. Explain how Hunter and Maggie
can both be correct, using complete sentences.
Continuous data sets can be analyzed for measures of central
tendency, dispersion, and quartiles. Discuss the importance of
reviewing these measures and identify the full story that these
measures reveal about the data that is relevant to the business.
Provide a relevant example to illustrate your ideas. In replies to
peers, discuss whether you agree or disagree with the examples
provided and justify your ideas.
1.
write a function to represent the volume of the box given that the
sum of the height and perimeter of the base is equal to 240 inches.
2. what dimensions (lenght width height) of such a box will
give the maximum volume?
3. what is the maximum volume?
Explain how liquids can be analyzed by gas chromatography.
Briefly define or describe the function, in gas chromatography,
of the
carrier gas:
stationary liquid phase:
solid support:
If ethyl acetate and n-butyl acetate are analyzed by gas
chromatography, which of these esters will generally produce a peak
with the shorter retention time?
What operating variables determine retention time?
Explain why is it important to inject the sample quickly.
Crime scene investigators have determined that an acrylic spray
paint (polymethylmethacrylate, PMMA) was used to deface the Mona
Lisa. Leonardo used linseed oil. We would like a solvent that
interacts more strongly with acrylic than with linseed oil. Based
on their chemical structures, we can approximate the SSCED
parameters of linseed oil as n-hexadecane and acrylic paint as
methylethylketone. Do you recommend CHCl_3, toluene, or acetone as
the solvent? Explain.
Assume that you have a box of resistors that have a
Gaussian distribution of resistances with mean µ = 100 Ω and
standard deviation σ = 20 Ω
(i.e., 20% resistors). Suppose that you wish to form a subgroup of
resistors
with µ = 100 Ω and standard deviation 5 Ω (i.e., 5% resistors) by
selecting all resistors with resistance between the two limits r1 =
µ−a and r2 = µ+a.
(Apparently, you are too cheap to just order the...
Clinical studies of 1,000 people were analyzed to
determine if they have a gene that predisposes people to skin
cancer. That study revealed that the probability that a person has
the gene predisposed to contract cancer is 01.
a) Calculate the probability that 4 or more people will have to be
tested before two people are detected with the gene.
b) On average, how many people must be analyzed for 2 people to be
detected with the gene.
Clinical studies of 1000 people were analyzed to determine if
they have a gene that predisposes people to have skin cancer. That
study revealed that the probability that a person has the gene
predisposed to contract cancer is 0.1.
a) Calculate the probability that 4 or more people have to be
analyzed before two people are detected with the gene.
b) On average, how many people must be analyzed for 2 people to
be detected? with the gene.