Statistics 100, Homework 1
Due: January 16, 2015, In Class
Remember to put down your name and your section number.
1. Identify whether the following variables are numerical or categorical. If numerical, state
whether the variable is discrete or continuous
STA 100 Discussion, Week 6
1. For the birthday example (see lecture 2/09, page 1), determine the approximate null
distribution of the test statistic through 10,000 samples drawn from the null hypothesis.
Plot the histogram and compare it to 2 .
6
2. The p
Statistics 100, Homework 1
Due: January 16, 2015, In Class
Remember to put down your name and your section number.
1. Identify whether the following variables are numerical or categorical. If numerical, state
whether the variable is discrete or continuous
Statistics 100, Homework 5
Due: February 27, 2015, In Class
Remember to put down your name and your section number.
1. We are often happy to do favors for other people when they have a particular need. For
example, we are more willing to let someone use a
Statistics 100, Homework 6
Due: March 6, 2015, In Class
Remember to put down your name and your section number.
1. Hurricanes Katrina and Rita caused the ooding of large parts of New Orleans, leaving
behind large amounts of new sediment. Before the hurric
I. Comparison of Two Independent Populations Confidence Intervals: A 100( 1- ) % confidence interval for ( 1 - 2 ) when the population standard deviations are unknown is: If 1 and 2 are unknown but 1 = 2 , then a pooled estimate of the common varianc
STA 100
Lecture 21
Comparing the Means of Many Independent Samples (cont.)
V. Multiple Comparisons
In analysis of variance when we reject the null hypothesis then the
question of interest is which means are different? It is possible to do pairwise t-test
STA 100
Lecture 12
Comparison of Two Independent Populations
I.
Introduction
A Practical Problem: We would like to compare the average timeloss due to accidents in two groups of industrial plants. One group is
following the guidelines of Occupational Safe
STA 100
Lecture 10
Confidence Intervals
I.
Introduction
A Practical Problem: We are interested in studying the effect of high
cholesterol level of fathers in the cardiovascular fitness of their
offspring. In particular, we would like to know if the choles
STA 100
Lecture 11
Confidence Interval (continued)
V.
Students t Distribution
In many real-life applications we may be dealing with cases where the
population standard deviation is unknown.
A Practical Problem: A primary care clinic claims that the averag
STA 100
Lecture 15
Design of Experiments
I. Introduction
Design of experiments has broad applications in almost all fields of
inquiries, from physics to biology, and from medical sciences to
agriculture.
Examples:
1.
2.
3.
4.
5.
Fertilizer level and wheat
STA 100
Lecture 14
Comparison of Two Independent Populations (continued)
V. Sample size Calculation and Power
a. We defined the power of a statistical test as P[reject Ho | Ho is false]. The
power of a test depends on:
1.
2.
3.
4.
Level of significance
S
STA 100
Lecture 16
Comparison of Paired Samples
I. Introduction
In many applications we may deal with paired (matched) designs, where
the two samples are not independent and observations occur in pairs.
A Practical Problem: A manufacturer of diet product
STA 100
Lecture 18
Review of the Topics for Midterm II
I. Confidence Interval
1. Point Estimation
a. A point estimator of a parameter is a statistic used to estimate that
parameter.
b. Properties of a good estimator are:
Unbiasedness, Minimum Variance, Co
STA 100
Lecture 20
Comparing the Means of Many Independent Samples
I. Introduction
In many applications we are interested in comparing the means of several
populations. The statistical method for this analysis is called analysis of
variance or ANOVA.
A Pr
STA 100
Lecture 23
Linear Regression and Correlation (continued)
IV. Using the Model
a. Prediction:
Given a specific value of the independent variable x, say xg , a
100(1-)% prediction interval for y is:
_
_
_
^
2
y t/2 Se 1 + 1/n + ( xg x ) / ( x x )2
wh
STA 100
Lecture 19
Analysis of Categorical Data (continued)
VI. Fishers Exact Test
The Fishers exact test is based on computing the probability of the
observed table and tables that are even more extreme than the
observed table. It is very much related t
STA 100
Lecture 22
Linear Regression and Correlation
I.
Introduction
Simple linear regression is one of the most widely used statistical
techniques for developing a mathematical relationship between a
dependent variable and an independent variable.
A Prac
STA 100
Lecture 13
Comparison of Two Independent Populations (continued)
III. Inferences When 1 and 2 are Unknown
A Practical Problem: Suppose we are interested in comparison
average systolic blood pressures (SBP) between males and females
45-50 years old
STA 100
Lecture 17
Analysis of Categorical Data
I. Dichotomous Observations
A Practical Problem: Estimate the 5-year survival rate of patients
receiving a standard treatment for breast cancer.
a. Recall the binomial random variable
b. An estimate for the
Statistics 100, Homework 2
Due: January 23, 2015, In Class
Remember to put down your name and your section number.
* Parts of Problems 15 will be graded.
1. As in other vertebrates, individual zebrash dier from one another along the shy-bold
behavioral sp
Statistics 100, Homework 3
Due: February 6, 2015, In Class
Remember to put down your name and your section number.
1. The pizza below, ordered from the Venn Pizzeria on Bayes Street, is divided into eight
slices:
Seven of your friends each choose a slice
STA100B HW4 Solution
1
(a) H0 : Cigarette smoking has no eect on lung cancer.HA : Cigarette smoking aects
the risk of lung cancer.
(b) H0 : GM crop and non-GM crop suer equal amounts of herbivore damage. HA :
GM crop and non-GM crop suer dierent amounts o
1
1/05/15
"Statistical thinking will one day be as necessary for efficient citizenship as the ability to read
and write."
-H.G. Wells
What is Statistics?
Statistics is best described simply as the all My 5! OCR/{a-
Every field and industry produce AMA , a
Part I: Multiple Choices (5 points each)
(d) 1.
(b) 3.
4.
If the chance of winning is 20% for a game, what is the probability that at most 1 game was
won when 5 such games were played (assuming winning is independent)? (choose the closet
answer)
(a) 0.03
1
. 1/07/15
"I keep saying that the sexy job in the next ten years will be statisticians. People think Im
joking, but who wouldve guessed that computer engineers wouldve been the sexy job of the
19905." - Hal Varian (Googles Chief Economist)
Type of studi
STA 100: Applied Statistics for Biological Sciences
Practice Midterm 2
February 18, 2015: 2:10-3:00pm
Print name:
Print section number:
Print student ID (last four digits):
Sign name:
1
Instructions: This is a closed book exam. One page of notes (handwrit
~Lecture1:
Population: A large group that we are interested in. It is usually too large to observe in its entirety. Example: All residents of San Francisco.
Variable: A characteristic of the population that can be assigned a number or a category. Example:
Outline Descriptive Stats
12
Descriptive Statistics
1
AND DATA PRESENTATION
Preliminaries
Variable review
Descriptive vs. Inferential Statistics
Normal Distribution
Categorical Outcome Data Sets
Continuous Outcome Data Sets
Measures of Central Ten
Interpreting Continuous Data with Two Predictor Variables
Instructions
Variable A
Level 1
Level 2
5.5
6
1.5
2
Are they >1 point apart? Yes / No
Low
High
Variable B
Level 1
Level 2
5.5
6
Average =
Anxiety
Conclusion: The
1
STA100C fall 2016 Homework 9 solutions
1. Scientists have used Mongolian gerbils when conducting neurological research. A certain breed of these gerbils was crossed and gave progeny of the following colors.
color
number of progeny
black
40
brown
59
whit
1
STA100C Homework 10 solutions
1. Data were obtained on the reduction in cholesterol count (in mg per 100 ml of blood
serum) for a sample of 15 male subject participating in a study to test if a lowcholesterol diet reduces serum cholesterol. Each subject