Stat 371
Assignment #3 Due Friday, October 7, by 4pm
*Submit your homework to Bowen Hus mailbox anytime prior to the due date/time. The mailboxes are to
the left as you enter the Medical Science Center (1300 University Ave.) from the main University Ave.
Stat 371
Fall 2016
October 21, 2016
Assignment #4 Solutions
1. Let F be an RV that represents the operating temperature in Fahrenheit of one instance of a manufacturing
process, and let F N (90, 25). Let C be an RV that represents the same process, but me
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Fall 2013
Homework 5 Solutions
2. Let X be the weight of a new born baby. Then X ~ N(3000, 500)
X 3000 3500 3000
>
)= P ( Z >1 )=0.15866
a) P ( X > 3500) = P (
500
500
b) Regard selecting a baby as a random trial, with Success = the selected baby weighs more than
3
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Fall 2013
Stat 371 Homework 5
You do not need to hand in this homework. Solutions will be on next Monday.
1. Chap. 5 (page 254  255): problem 12, 13, 15, 17.
2. The weight of new born babies follows a normal distribution with mean 3000g, and standard deviation of
Stat 371
Fall 2016
October 28, 2016
Assignment #5 Solutions
1. A gondola (cable car) at a ski area holds 50 people. Its maximum safe load is 10000 pounds. A population of
skiers has a distribution of weights with mean 190 pounds and standard deviation 40
Stat 371
Fall 2016
November 4, 2016
Assignment #6 Solutions
1. A doctor would like to estimate the mean lowdensity lipoprotein (LDL) blood cholesterol level of her large
population of healthy patients, measured in mg/dL. She believes the distribution of
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Fall 2013
Chapter 1: Statistics and Sample
Fall 2013
Yi Liu
Department of Statistics, UWMadison
Outline
1
Basic Information
2
Why Statistics  Examples of Scientic Questions
3
Population and Sample
Yi Liu
STAT371LEC4
Fall 2013
2 / 21
Outline
1
Basic Information
2
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Fall 2013
Stat 371 Lecture 3, Fall 2013
Midterm
(Total: 100 points)
Full Name:_
Student ID:_
Discussion Section:_
Rules and Advice:
Do NOT tear off any page except the last draft page.
Do all your work in the space provided. If you need extra space, please let your
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2014
Statistics 371
Discussion 9: Hypothesis Testing  with Solutions
March 1415, 2017
1. The length of time a patient stays in a hospital is a variable of great interest for insurance and resource
allocation purposes. In a given hospital, a simple random sam
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2012
Key for HW #6
1. ( Problem 19, p 313)
(a)
Researchers counted the number of electric fish species above and below the entrance points of
the same tributaries. Thus, the samples are paired.
Upstream number
Downstream number
of species
of species
14
19
5
11
Statistics 371
Discussion 11
November 2930, 2016
Example Problems
1. 16 subjects were given a drug (treatment group) and an additional 14 subjects were given a placebo (control
group). Their reaction time to a stimulus was measured (in ms). Suppose that
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2014
Statistics 371
Discussion 10: Hypothesis Testing  with Solutions
March 2829, 2017
1. A certain manufactured product is supposed to contain 23% potassium by weight. A random sample of 10
specimens of this product had an average percentage of 23.3 with a
Stat 371
Discussion 4: Random Variables and Distributions  with Solutions
September 2728, 2016
1. An auto body shop estimates repair costs with the help of a fair 4sided die and a set of tables. Here is the
table for cars with a scraped fender:
die rol
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2014
Stat 371
Discussion 3: Descriptive Stats / Probability  with Solutions
Spring, 2017
1. A random sample of elementary school students at a particular school was taken. Each selected student
was asked, How many bowls of cereal do you eat in a typical week?
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2014
Stat 371
Discussion 2: Descriptive Stats  Solutions
January 2425, 2017
1. The National Hockey League (NHL) consists of 30 teams. Teams earn points during the regular season by
playing 82 games against other teams in the league. If a game is decided in r
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2014
Emily Cibulka
Statistics 371
Section 331Tuesdays 4:35
February 3, 2017
Homework 1
1.
a)
b) The mean is 2.609333 cm/s and the standard deviation is 0.6178473 cm/s. The mean is
telling us the average of all of the 15 different data points, and the standard
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2012
Key for HW #7
1. (#16, p 311)
a.
These two samples (Corn diet and Cotton diet) are independent. When we check the normality
for each sample(well check this on (c), the normality assumption is satisfied. Now, we check the
equal variance assumption.
SD1=Sta
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2012
Key for HW #11
1,
Check these assumptions.
i)
The straight line relationship is correct.
ii)
Errors ei are independent.
iii) Errors ei have homogeneous variance.
iv) Errors ei have normal distribution
(a) The variance in Y
is not equal for all X, but incr
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2012
Key for HW #10
1.
c)
H0: Habitat types do not differ in mean cone size ( 1 = 2 = 3).
Ha: Habitat types differ in mean cone size (at least one i is different from at least one other j)
By hand,
Island absent
Mainland present
9.6
6.8
6.7
9.4
6.6
6.4
8.9
6.0
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2012
STAT 371
HW 9 Solution
1. Problem 14 on page 425 (Chapter 15).
a) We can use box plot, histogram, or normal quantile plot to display the data.
0.3
0.5
0.7
0.9
Proportion of flies taking 2nd meal from cow
cow
lizard
1st Blood Meal
R commands:
tsetse = read
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2012
Key for HW 8
1, ( #18, p 353)
a.
These two samples (territorial fish and nonterritorial fish) are independent. So, the paired sample
methods are inappropriate. Now, well check the normality.
Normal quantile plots :
R code :
dat=read.csv("13q18CichlidsGnR
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2012
Outline
1
Simple Linear Regression
Estimating the slope and intercept
Correlation
Testing the slope: Ftest
Testing the slope and intercept: ttests
Assessing assumptions: Diagnostic plots
Prediction of new values
Chick mass example
Data collected from 18
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2012
Outline
1
Examples from the literature, could be used in a nal exam
The rising cost of lowenergydensity foods
Social evaluation by preverbal infants
The rising cost of lowenergydensity foods
P. Monsivais and A. Drewnowski. Journal of the American
Diet
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2014
One of my favorite hobbies since I was, surprisingly, very young, has been playing poker.
Despite my love for the game, I unfortunately havent paid too much attention to the real
statistics in poker. I decided to base my study off of a poker statistic, sp
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2014
The motivation for my study was brought upon by my love of basketball. I decided I wanted to
study whether or not a free throw routine had any impact on the level of success the shooter
experienced. I chose to have 20 trials, 10 trials for treatment 1 (no
Introductory Applied Statistics for the Life Sciences
STATISTICS 371

Spring 2014
Data Analysis Course
0.1
Overview of Statistics 371
Draft: May 4, 2015
Introduction
1. What is Statistics?
2. Types of Data
Numerical: Data that consists of numbers.
Continuous: Any value in a specified range is possible. (measurements)
Discrete: Only
STAT 371
Discussion Week 5
October 45, 2016
Example Problems
1. A factory has seven machines  four of model A, which are in use, on average, 80 percent of the time, and
three of model B which are in use, on average, 60 percent of the time. If the superv
Stat 371
Discussion 7: Estimation (continued)  with Solutions
October 2526
Example Problems
1. Here is a simple random sample of 50 concentrations of nitrogen oxides (in parts per 10 million) from
neighborhoods of Boston:
0.464,
0.614,
0.700,
0.504,
0.4
Bootstrap for
Inference patterns
Draw simple random sample of size n from the
population. Find x
and s.
Confidence interval for :
(table value for confidence)
Resample x1 , . . . , xn with replacement from
x
x
data. Find x
, s and t = .
s / n
Test