ph 142
problem set 4
10 points
random variables
winnings at heads and tails
Jos and Juanita are playing a coin-tossing game.
They toss 4 fair coins. P( head ) = 1 / 2 and P( tail ) = 1 / 2 for every toss.
The coins are independent.
Jos wins a dollar from
ph 142 Workshop Problems
confidence intervals,
hypothesis tests, and power
brief answer key
I. Confidence intervals for a population mean
assuming that the populationvariance is known.
SAT math scores have a normal distribution with a standard deviation o
ph 142
2
Workshop Problems
This week features both 2
2
tests for association and a
tests
goodness of fit test .
Part I.
A research organization, interested in testing whether the proportions of sons taking up the
occupations of their fathers are equal fo
ph 142 Workshop Problems
more hypothesis tests
brief answer key
I. tests for proportions
13. "sometimes I copy information from the internet into my papers without reporting the
source."
under the null hypothesis, the standard error for the sample proport
ph 142 Workshop Problems
two-sample problems
brief answer key
I. FEV
difference in averages
.3595
est std error of difference
0.1638
test statistic
2.19
34 df
P value for two-tailed alt hyp 0.035
II. binge drinking
estimated proportions
men
.227
women .
University of California, Berkeley
School of Public Health
On-Campus/Online Professional MPH Degree Program
PH W142: INTRODUCTION TO PROBABILITY AND STATISTICS
Fall 2011
Instructor: Maureen Lahiff, PhD
307 Haviland Hall, lahiff@berkeley.edu
Course format:
ph 142
preparation for midterm
The exam will begin at 8:00 am sharp.
You may bring one 8 by 11 sheet with formulas, the probability summary,
and the counting rules summary.
You will need a calculator. Cell phone calculators may not be used during the exam
ph 142
probability and statistics in biology and public health
spring 2016
descriptive statistics
probability
sampling distributions
confidence intervals and tests for means and proportions
comparing the means of 2 populations and proportions from 2 popul
ph 142
preparing for quiz 2
The quiz is in section on Friday February 26
What does the quiz cover?
normal probability distributions N(,)
know that every distribution in the normal family of distributions
is completely characterized by 2 parameters:
1. the
ph 142 Workshop Problems
confidence intervals,
hypothesis tests, and power
There's a lot of material here; we can finish it next week.
The focus of this week's problems is
confidence intervals for population means
confidence intervals for population propo
ph 142 Workshop Problems
more hypothesis tests
The focus of this week's problems continues to be hypothesis tests:
one-sample proportion problems
paired t tests,
two independent sample t tests to compare the means of two populations
I. tests for a proport
2
ph 142 Workshop Problems
tests
brief answer key
I. fathers and sons' occupations
here is a table of the expected counts under the null hypothesis:
doctors
same occup
34.3
different occup
bankers
165.7
2
teachers
lawyers
25.7
30.9
17.1
124.3
149.1
82.9
t
ph 142 Workshop Problems partial key
probability and random variables
Part 1.
Suppose the probability of the school of public health softball team winning an intramural game is
.40, no matter which team they are playing, and that their game results are in
ph 142 Workshop Problems
probability and random variables
Part 1.
Suppose the probability of the school of public health softball team winning an intramural game is
.40, no matter which team they are playing, and that their game results are independent of
ph 142 Workshop Problems
probability week 3
partial key
Part I.
In a chart review of its population of patients in the last 5 years, a large HMO found that its
patients over age 55 had the following characteristics:
taking medication for high blood pressu
runall
2003/5
page 3
C H A P T E R
2
Probability
In his book on probability, entitled How to Take a Chance,3 Darrell Huff
states that, Probability theory is the underpinning of the modern world. Current
research in both the physical sciences and social sc
ph 142 Workshop Problems partial key
normal curve
sketches of the areas under the curve are not included please make your own!
please refer to the workshop handout!
1.
Find P ( Z < 2.20 )
and P ( Z > 2.20 )
0.986
=
1 P ( Z < 2.20 )
1 0.986
=
0.014
2.
P (
ph 142 Workshop Problems
normal curve
The focus this week is the use of the standard normal table, table A.1.
We have a handout with a nice copy of the table from Professor Selvins book.
There are several important features of this table!
A. The informati
ph 142 Workshop Problems
normal curve
The focus this week is the use of the standard normal table, table A.1.
We have a handout with a nice copy of the table from Professor Selvins book.
There are several important features of this table!
A. The informati
UNIVERSITY OF CALIFORNIA, BERKE .i
Fall, October 13, 2003
ABP a]?
All answers are 3 points.
I. Probability:
During the 1970s a study of the risk factors and coronary heart disease (CHD) was con-
ducted. There were 270 reported cases of coronary disease