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Kong et al. (2012) studied mutation rates in Icelandic
children, specifically looking at mutations in single nucleotide polymorphisms
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61
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83
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Most Popular Content
PSY520 SDSU Chapter 16 ANOVA Table Graduate Statistics Review Questions
Complete the following exercises located at the end of each chapter and put them into a Word document to be submitted as d ...
PSY520 SDSU Chapter 16 ANOVA Table Graduate Statistics Review Questions
Complete the following exercises located at the end of each chapter and put them into a Word document to be submitted as directed by the instructor.Show all relevant work; use the equation editor in Microsoft Word when necessary.Chapter 16, numbers 16.9, 16.10, 16.12 and 16.14Chapter 17, numbers 17.6, 17.7, and 17.8Chapter 18, numbers 18.8, 18.11, and 18.12
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Use the Internet or Strayer Library to research articles on hypothesis test and its application in business. Select one (1 ...
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Regression analysis of these data
Kong et al. (2012) studied mutation rates in Icelandic
children, specifically looking at mutations in single nucleotide ...
Regression analysis of these data
Kong et al. (2012) studied mutation rates in Icelandic
children, specifically looking at mutations in single nucleotide polymorphisms
(SNPs). As part of this study, they also recorded the age (in years) of the
mother and the father. Part of their data are given below:
Father's Age
# of SNP Mutations
16
39
18
41
20
39
19
49
22
50
24
54
24
55
24
61
25
57
28
52
29
54
30
57
32
61
37
67
36
70
34
77
30
83
29
67
33
68
26
54
33
65
A)
If you were to do a regression analysis of these data,
which would be the dependent variable and which would be the independent
variable? Explain your reasoning!
B)
What is the regression equation for the relationship
between these two variables? For this part, I want you to show me the steps
you’d take to calculate the slope and the Y-intercept. You can check your
results using Excel or some other program, but you will not get full credit if
you simply give me the equation as generated by Excel or another program. (This
is all a fancy way of saying you need to calculate this part by hand!).
C)
Determine whether the slope of this equation is
significantly different from zero, using a regression ANOVA approach.
9 pages
Option 2 World Populations
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Probability Theory and Statistics
X is the Uniform(−5, 5) random variable.
(a) Whatis fX(x)?
(b) WhatisFX(x)?
(c) What is E[X ...
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X is the Uniform(−5, 5) random variable.
(a) Whatis fX(x)?
(b) WhatisFX(x)?
(c) What is E[X]?
(d) WhatisE[eX]?
(e) WhatisP(|X|<σX)?
The amount of time required for your computer to connect to a router is an exponential random
variable, with mean connection time of 3.0 seconds.
(a) What is the probability that a connection will be made in 5.0 seconds?
(b) If, after 5.0 seconds there is still no connection, what is the probability the connection will be
made in the following 5.0 seconds (so, within 10.0 seconds total)?
(c) Compare your answers to (a) and (b) and explain the observed behavior of this random variable.
The lifetimes of radioactive nuclei are independent and exponentially distributed. The half-life is
given by t1/2 = ln 2/λ, where t1/2 is the time such that the expected fraction of atoms remaining is 1/2.
(a) Iodine-131 is radioactive, with a half-life of 8.02 days. What is the probability that a single
atom of Iodine-131 is still un-decayed after 30 days?
(b) How long do you have to wait before 99.99% of a sample of Iodine-131 has decayed?
(c) Uranium-238 is radioactive, with a half-life of 4.468 × 109 years. Suppose you have an 0.1 mg
sample of Uranium-238. Let X be the number of nuclei that decay in one second in your
sample; calculate E[X]. What is P(X ≥ 2)?
Continuous random variable X has E[X] = 3 and Var(X) = 9. Find the parameters of X if
(a) X is an exponential random variable
(b) X is an Erlang random variable
(c) X is a continuous uniform random variable
If X is Exponential(λ) and W = X2, what is the PDF of W?
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