Let's Generalize the ideas we studied so far
Generalize the idea of Test of signicance
We are interested to make inference about certain unknown parameter in
the population. It can be the population mean, variance, standard
deviation, proportion,.
H0 :
H0
Parameter Vs Statistic
Statistic
A statistic is a number that describes some characteristic of a sample.
The value of a statistic can be computed directly from the sample data.
STAT1000Unit7
Sampling Distributions
For example, the sample mean
x
and sample
Unit 1Examining Distributions
Types of variables.
Displaying distributions with graphs.
STAT1000 - Basic Statistical Analysis I
Describing distributions with numbers.
Winter 2016
What is the study of Statistics?
Statistics provide the tools and ideas for
Unit 3 Design of Experiments
Unit 3 Design of Experiments
Obtaining Data
In the previous units we have learned some basic tools (using graphs and
numbers) of data analysis.
These tools and ideas help us examine the data
to describe their main features.
Th
Unit 5 Density Curves and the Normal Distribution
Unit 5 Density Curves and the Normal Distribution
Density Curves
Density Curves
For example, consider the following figure:
Before we start normal distribution, we first talk about something called
density
Question 1.
a. Based on this data, report in a table for each year (2013, 2014) the employment status in July and August in term of: i) Participation rate, ii) Employment-Population ratio and iii) Unemployment rate.
Jul-13_Jul-14:
Labor force participatio
Unit 6 Randomness and Probability
Unit 6 Randomness and Probability
Variability and Randomness
Randomness
In everyday life, we often must make decisions when we are uncertain about
the outcomes!
Should we invest money in the stock market? Should we get de
Unit 4 Sampling
Unit 4 Sampling
Populations and Samples
Sampling Design
We already know the two basic concepts - population and sample.The
entire collection of individuals or objects about which information is desired
is called the population.
What is sam
SAMPLE MIDTERM I
1. A particularly common question in the study of factors affecting heart diseases includes genetic and
environmental factors. A researcher might record several variables, some of which are listed below. Which of
these variables is/are ca
Unit 9 Tests of Significance
Hypothesis Testing
From the last unit we know that statistical inference has two parts
Estimation and Tests of Significance. In the estimation part, we have
learned how to construct a confidence interval for the population mea
Unit 2 Scatterplots, Correlation and Regression
Unit 2 Scatterplots, Correlation and Regression
Termniology
So far, we have been looking at different ways to summarize and depict a
single quantitative variable. In the field of statistics, there are many
p
Summary of Unit9Tests of Signicance
Summary of Unit9Tests of Signicance
STEP 1: Formulating Hypotheses
Null Hypothesis
H0 :
STEP 2: Calculating P-Value
Alternative Hypothesis
Ha :
Not Guilty
Guilty
We would like to: Reject it,
Suspect in it, or Find
Suppo
STAT 1000
Basic Statistical Analysis I
Summer 2013
Calendar Description
(Formerly 005.100) An introduction to the basic principles of statistics and procedures used for
data analysis. Topics to be covered include: gathering data, displaying and summarizin
Overview of Statistical Inference
Statistical Inference
Statistical inference provides methods for drawing conclusions about a
population from sample data
STAT1000Unit8
Condence Intervals
Two Methods of Statistical Inference
Condence intervals estimating
Unit 9 Tests of Signicance
Hypothesis Testing
Condence intervals are one type of inference, allowing us to make
some sort of statement about the mean of a population. The second
we will be looking at is known as hypothesis testing.
Unit 9 Tests of Signica
The Probability is the Ocial Language In the World of
Uncertainty
STAT1000Unit6
Randomness and Probability
Randomness
We call a phenomenon random if its individual outcomes are uncertain in
the short run but there is a regular and predictable pattern of t
Histogram does NOT answer all of our questions.
Consider the following histogram of GPA's of 50 students in a class:
STAT1000Unit5
Density Curves and Normal Distributions
10
5
0
1.0 1.5
2.0
2.5
3.0
3.5
4.0
4.5
GPA
July 21, 2013
What percentage of students
Sample Term Test 2B
1. A random variable X is described by the density curve shown below:
The probability of P (3 X 6) is equal to:
(A) 0.55
(B) 0.45
(C) 0.375
(D) 0.40
(E) 0.60
2. A random variable X follows a uniform distribution on the interval from 10
Sample Final Exam A Part B
1. Hat # 1 contains four gold coins, one silver coin and ve copper coins. Hat # 2 contains
three gold coins, six silver coins and one copper coin.
(a) You will randomly select one coin from each of the two hats. The outcome of
i
Sample Term Test 2A
1. A variable X has a distribution which is described by the density curve shown below:
What proportion of values of X fall between 1 and 6?
(A) 0.550
(B) 0.575
(C) 0.600
(D) 0.625
(E) 0.650
2. Which of the following statements about a
Sample Final Exam A Part A
1. The mean salary of the nine employees of a small business is $52,000 per year. One
employee, whose salary was $68,000, was red. Two new employees, who will each be
paid a salary of $40,000, are hired. What is the new mean ann
Exercise 1
A t-distribution with 100 degrees of freedom is closest to:
(A) A normal distribution with mean 0 and variance 1.
(B) A normal distribution with mean 1 and variance 1.
(C) A normal distribution with mean 0 and variance 99.
(D) A normal distrbut