Stat 205 Homework 4 (Due: Beginning of class October 06, 2016, Thursday)
Instructor: Yen-Yi Ho
Total Points: 110
(Email submissions will not be accepted)
1. Textbook problem section 4.3, page 132 Problem 4.3.3. (15 points)
2. Textbook problem section
Stat 205 Homework 3 Solutions:
Question 3.6.1:
Were calling getting a yellow garden pea a success. Therefore, p=3/4 or 0.75.
The number of trials here is n=4.
(a)P(Y=3)=0.421875
(b)P(Y=4)=0.3164063
(c)P(Y=4)+ P(Y=0)=0.3203125
On part c, we want to either
Bonus Quiz (total 20 points) Form B
Emma conducted a simulation study using R, she drew a
random sample of size 100 from a normal distribution
with mean 5 and standard deviation 10. Emma did
another 499 iterations of drawing 100 samples from a
norm
Sampling Distributions
Suppose we use the sample mean, , as our best guess of the population mean, . We
assume it will be somewhat close to the target, but not exactly on every time. It is also
intuitive that if we were to take another sample from the sam
Introduction to Hypothesis Testing
A Hypothesis Test for
Heuristic Hypothesis testing works a lot like our legal system. In the legal system, the accused
is innocent until proven guilty. After examining the evidence, he is found either guilty or
not guil
Introduction, Evidence, and Sampling
Motivation: Why analyze data?
Clinical trials/drug development: compare existing treatments with new methods
Agriculture: enhance crop yields, improve pest resistance
Ecology: study how ecosystems develop/ to environme
The Normal Distribution
Definition A continuous random variable has a normal distribution if its probability density
function can be written as for < y < as f ( y ) = Y 1 2 e - ( y - ) / 2
Y
Notation: Y ~ N( Y,
deviation
Y)
where
Y
is the population mean
Introduction to Confidence Interval for
Goal: We want to use the sample mean to make an educated guess about the value of the
population mean. Well use as our best guess (point estimate) for , and well account for
error by creating an interval.
With a lar
Probability and the Binomial Distribution
Definition: A probability is the chance of some event, E, occurring in a specified manner.
NOTATION: Pcfw_E
Note: A probability technically is between 0 and 1 (more on that later), but when we think of
the chance
Stat 205 Homework 5 Solutions
1. Textbook problem section 7.2, page 239 Problem 7.2.9.
Solution:
Let ! and ! respectively be the average MBF in the normoxia group and the hypoxia group.
At significance level ()=0.05, we are interested in testing
Stat 205 Homework 1 (Due: Beginning of class, September 01, 2016, Thursday)
Instructor: Yen-Yi Ho
Total Points: 100
Submission instruction:
Paste the plot from R in a word file, type the other answers, comments etc. in the same file.
Put your name on the
Topics Covered for Exam 1
Chapter 1
Observational Study vs. Experiment
o Observational:
Anecdotal Evidence Testimony of something that is true, false
or unrelated based on isolated examples of a personal
experience (used often to encourage sales/product)
STAT 205
Tues. Aug 23
Anecdotal Evidence - anecdote: short story or an example of an interesting
event; weakest study
Treatment and endpoint
o Smoking (exposure/ treatment) -> Lung Cancer (outcome/endpoint)
Prospective study follow people for 20-30 years
STUDY GUIDE FOR STAT
Anecdotal Evidence
A testimony that something is true, false, related, or unrelated
based on isolated examples of someone's personal experience.
Anecdotal evidence is very popular in the advertising world.
Every time you see a claim a
Bonus Quiz (total 30 points) Form A
Print Name:
Emma conducted a simulation study using R, she drew a
random sample of size 100 from a normal distribution
with mean 10 and standard deviation 9.8. Emma
calculated sample mean and sample standard de
Stat 205 Homework 2 Solutions
Total Points: 30
1. Consider the data in textbook section 2.5, page 59, problem 2.5.3.
In R input the data from the table and make a scatterplot of the data. Use proper labeling
of x and y axis.
(Follow the code in:
Lecture n
R version 3.3.1 (2016-06-21) - "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-apple-darwin13.4.0 (64-bit)
R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it unde
Curriculum Vitae
Yen-Yi Ho
Office Address
University of South Carolina,
212B LeConte College
1523 Greene Street,
Columbia, SC 29208
Phone: 803-777-5110
Email: [email protected]
Website: http:/People.stat.sc.edu/hoyen/
Education
2009 Ph.D., Biostatistics,
Stat 205 Homework 4 Solution
Total Points: 110
1. Textbook problem section 4.3, page 132 Problem 4.3.3.
The brain weights of certain population of adult Swedish males follow approximately a
normal distribution with mean 1400 gm and standard deviation 100
Description of Samples and Populations
Random Variables
Data are generated by some underlying random process or phenomenon. Any datum (data
point) represents the outcome of a random variable. We represent random variables with
capital letters, usually X,