Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
4th Edition
ISBN: 9780128045251
Author: Stormy Attaway Ph.D. Boston University
Publisher: Elsevier Science
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Chapter 5, Problem 26E
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Suppose that we have data y = (1,...,n). Each data point y; is assumed
to be generated by a distribution with the following probability density function:
P(yi | n)=3nye, y; ≥0.
The unknown parameter is >0.
(a) Write down the likelihood for n given y, and find an expression for the maximum
likelihood estimate (MLE) of n.
(b) A Gamma(a, 3) distribution is chosen as the prior distribution for 7, where a > 0
and > 0 are known. Show that the posterior distribution of n, denoted p(n | A),
is also a gamma distribution with updated parameters that you should determine.
Do the data provide compelling evidence (at α=0.05) for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade? Show all your work.
Estimate the difference between true average strengths for the two grades with a 95% confidence interval for the previous problem.
Use Minitab and the GPA data (GPAData.xlsx) to answer the following.
a) (15 points) Is there a mean difference in High School GPA and a person's GPA following their first year of college? State
the relevant hypotheses and provide the p-value from the output. Include a decision and interpretation at a 10% level of
significance.
b) (5 points) Is the assumption of normality satisfied? Include any plots you make to check the normality assumption and
comments on your observations.
Chapter 5 Solutions
Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
Chapter 5, Problem 5.1PChapter 5, Problem 5.2PChapter 5, Problem 5.3PChapter 5, Problem 5.4PChapter 5, Problem 5.5PChapter 5, Problem 5.6PChapter 5, Problem 5.7PChapter 5, Problem 5.8PChapter 5, Problem 5.9PChapter 5, Problem 5.10P
Chapter 5, Problem 1EChapter 5, Problem 2EChapter 5, Problem 3EChapter 5, Problem 4EChapter 5, Problem 5EChapter 5, Problem 6EChapter 5, Problem 7EChapter 5, Problem 8EChapter 5, Problem 9EChapter 5, Problem 10EChapter 5, Problem 11EChapter 5, Problem 12EChapter 5, Problem 13EChapter 5, Problem 14EChapter 5, Problem 15EChapter 5, Problem 16EChapter 5, Problem 17EChapter 5, Problem 18EChapter 5, Problem 19EChapter 5, Problem 21EChapter 5, Problem 20EChapter 5, Problem 22EChapter 5, Problem 23EChapter 5, Problem 24EChapter 5, Problem 25EChapter 5, Problem 26EChapter 5, Problem 27EChapter 5, Problem 28EChapter 5, Problem 29EChapter 5, Problem 30EChapter 5, Problem 31EChapter 5, Problem 32EChapter 5, Problem 33EChapter 5, Problem 34EChapter 5, Problem 35EChapter 5, Problem 36EChapter 5, Problem 37EChapter 5, Problem 38EChapter 5, Problem 39EChapter 5, Problem 40EChapter 5, Problem 41EChapter 5, Problem 42EChapter 5, Problem 43E
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