1) To estimate the mean number of people who are admitted to the
emergency room in Hamad
= 9. The 99% confidence
A) 20.2 0.699
B) 20.2 0.4935 C) 20.2 0.7725
D) 20.2 0.384
2) Use the confidence level and sample data to find the margin of err
Applied Survival Analysis
Due date: 16/11/2015
-Consider the following survival data on 15 patients containing their survival times in weeks, gender
(male = 0,
Find the following probabilities: Pr(A), Pr(A or B), Pr(C and D),
Pr(D and E), Pr(D or E)
Probability tree is a convenient way to break a problem down into
parts and organize information.
A family has two children if the probab
Effects of Transformations of Variables
There are a lot of reasons why it is more convenient to transform
a variable some of those reasons include:
1. You may want to change units from kg to
2. Your number may be very small such as
6.023.10-23 may b
Normal distribution: is a distribution represented by a normal curve.
If a variable Y follows normal distribution, then it can be represented by
Y ~ N ,
N represents that the distribution is normally distributed,
represents the population
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1:: mlur in: a Err-up at 1.170 Gennnn mm.
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Probability and the Life Sciences
When we are studying probability, we are
determining the likelihood of a certain situation
Combining that with the Life Sciences, we could be looking
at the likelihood of two human parents with brown eyes
Computing Formula for a Sample Standard Deviation
A sample standard deviation can be computed using the
computing formula s .
( ) (
Comparison of Measures of Dispersion?
When data are grouped in a frequency distribution,
This section focuses on a special type of a random variable
called the binomial.
In some statistical studies we perform an experiment
repeatedly. In this type of experiment, there are only two
outcomes. These two outcomes are either
Applied Survival Analysis
Due date: 23/11/2015
-The data for this question consists of a sample of 50 persons from the 1967-1980 Evans County
Study. There are two basic indepen
Introduction to Survival Analysis
True or False (Circle T or F):
1. In a survival analysis, the outcome variable is
2. In a survival analysis, the event is u
The following table cross-classies 6549 subjects living in Massachusetts according to health
risk (stressed or not stressed) and income (low, medium, or high):
Stress level Low Medium High Total
Stressed 526 274 216 1016
Not Stressed 1954 1680 1
1) The brain weights of a certain population of adult Swedish males follow a normal
distribution with mean = 1400g and standard deviation = 100g.
a) What percentage of the brain weights for this population are between 1200 and
b) What is the 8
Random Sampling, Probability, and the Binomial Distribution.
A SIMPLE RANDOM SAMPLE of n items is a data set
(a) every member of the population has an
chance of being selected.
(b) the members of the sampl
Measures of Center
Measures of center include:
easures all describe the center of a distribution in a slightly different way.
The mean of a data set is the sum of the o
The Normal Distribution
A continuous random variable Y has a NORMAL
DISTRIBUTION if its probability density can be written as:
1 e -(y-Y) /2Y
f (y) =
< y < .
NOTATION: Y ~ N(Y , 2 Y)
The mean and variance of a normal d
A random sample of 3,500 eligible voters was asked whether they
approved of the president's job performance. Here are the results:
A. Find P(Fem
ale) and P(Male).
B. Find P(Approve) and P(Disapprove).
C. Find P(Fem | Approve) and P(Male | Approv
Study and meta-study
Sampling distribution of a proportion
Estimator for a Proportion
For Y ~ Bin(n,p) we can estimate p if it is unknown
using the SAMPLE PROPORTION:
Since Y is random, so is
Comparison Of Two Independent
Notation for comparison of two samples
A statistical hypothesis test is a method of making
decisions using data.
Scientists wish to test the hypothesis that norepinephrine (NE)
Estimation and Confidence
Parameters such as
or are usually unknown, and
we use the sample data to estimate them.
Definition: If an estimator
of an unknown
has the property that
we say it is an UNB