Stats 244.3(02) Term Test 4
Thursday, March 03, 2016
Open Book Eramination - students are allowed to use texts, notes, calculators
Multiple Choice select the closest answer
I. Consider the two 2 year
Hypothesis Testing
A statistical Test is defined by
1. Choosing a statistic (called the test
statistic)
2. Dividing the range of possible values for
the test statistic into two parts
The Acceptance R
Summary of Tests
Confidence Limits
Proportions and means
One sample Tests
Z test for a proportion
Test statistic
z
p p0
p0 1 p0
n
Null Hypothesis
Alt. Hypothesis
H0: p p0
Critical Region
z < -z or z
The p-value approach to
Hypothesis Testing
In hypothesis testing we need
1. A test statistic
2. A Critical and Acceptance region
for the test statistic
The Critical Region is set up under the sampling
Comparing k Populations
Means One way Analysis of
Variance (ANOVA)
The F test for comparing k means
Situation
We have k normal populations
Let i and denote the mean and standard
deviation of populat
Comparing k Populations
Means One way Analysis of
Variance (ANOVA)
Example
Inthisexamplewearelookingattheweightgains(grams)
forratsundersixdietsdifferinginlevelofprotein(High
orLow) andsourceofprotein
Comparing k Populations
Means One way Analysis of
Variance (ANOVA)
Example
Inthisexamplewearelookingattheweight
gains(grams)forratsundersixdietsdiffering
inlevelofprotein(HighorLow) andsource
ofprotei
Comparing Populations
Proportions and means
The sampling distribution of differences of Normal
Random Variables
If X and Y denote two independent normal random
variables, then :
D = X Y is normal with
Statistical Inference
Making decisions regarding the
population base on a sample
Decision Types
Estimation
Deciding on the value of an unknown parameter
Hypothesis Testing
Deciding a statement reg
Hypothesis Testing
To define a statistical Test we
1. Choose a statistic (called the test statistic)
2. Divide the range of possible values for the
test statistic into two parts
The Acceptance Region
STAT 244.3
Some Sample Questions for Term Test #1 Winter 2012
PLEASE READ IMPORTANT TEST INFORMATION
(i) You may use one two-sided 8.5x11 sheet of formulas, etc. Textbook is NOT allowed.
(ii) Non-prog
STAT 244.3 Written Assignment #1
Due: by 3:00 PM, Friday, January 20, 2012
Note: You may turn the assignment in earlier (e.g. in class or at next Thursdays lab)
or place it in the In box outside of my
Sampling Theory
Determining the distribution of Sample
statistics
Sampling Theory
sampling distributions
Note:It is important to recognize the dissimilarity
(variability) we should expect to see in va
Stats 244.3
Elementary Statistical Concepts
Instructor:
W.H.Laverty
Office:
235 McLean Hall
Phone:
966-6096
Lectures:
Evaluation:
M Tu W Th F 10:30am -11:50am
Arts 200
Lab: Tu W Th 12:00 - 12:50 Arts
Logistic regression
Recall the simple linear regression model:
y = 0 + 1x +
where we are trying to predict a continuous
dependent variable y from a continuous
independent variable x.
This model can b
Linear Regression
Hypothesis testing and Estimation
The equation for the least squares line
n
Let
2
S xx xi x
i
1
n
S yy yi y
2
i
1
n
S xy xi x yi y
i
1
Computing Formulae:
n
2
xi
n
n
2
i 1
2
S
Linear Regression
Hypothesis testing and Estimation
Assume that we have collected data on two
variables X and Y. Let
(x1, y1) (x2, y2) (x3, y3) (xn, yn)
denote the pairs of measurements on the on
two
STAT 244.3
Solution to Sample Questions related to Term Test #3 Material A
PROBLEM SET A: Seven randomly selected women weighing between 60.0 and 69.9
kilograms were placed on a cabbage soup diet for
STAT 244.3 Written Assignment #3
Due: Friday, February 3 by 2:30 PM
PROBLEM A: How physically active are students? A random sample of students was obtained
by sampling student numbers from a list of s
STATISTICS 244.3
WRITTEN ASSIGNMENT #6
Due: Problems C and D on March 21 by 2:30 PM
Problems A and B are for practice. Solutions will be posted.
Note: Term Test #3 is on Thursday, March 22 at 1:00 PM
[STAT 244.3 Written Assignment #2]
Name
Student Number
STAT 244.3
Written Assignment #2
Due Date: by 3:30 PM, Tuesday, January 24, 2012
PLEASE NOTE: Provide answers rounded correctly to two places of
Sampling Theory
Determining the distribution of Sample
statistics
Sampling Theory
sampling distributions
Note:It is important to recognize the dissimilarity
(variability) we should expect to see in va
Hypothesis Testing
A statistical Test is defined by
1. Choosing a statistic (called the test
statistic)
2. Dividing the range of possible values for
the test statistic into two parts
The Acceptance R
The Normal Probability Distribution
Points of
Inflection
3 2
2
3
Main characteristics of the Normal Distribution
Bell Shaped, symmetric
Points of inflection on the bell shaped curve are at
an
Stats 244 - Asst 3 Solutions
a) Construct the stem and leaf display for Math proficiency for students who had
completed grade 13.
5
3567
6
0119
7
0123344445567
8
05
9
0
b) Construct the stem and leaf
Stats 244 Assignment 2 - Solutions
For each of the three drugs A, B and C
a) Compute the mean and the standard deviation.
Drug A
n
x=
x
i =1
i
n
=
209.2
= 10.46 , s =
20
n
xi
n
2
xi i =1
2
2431.
Stats 244 Assignment 1
(Not to be handed in)
I.
In the following study, 20 manuscripts of an unknown author were found. Some of the evidence proved
that these unknown manuscripts were either written b
o q _Sroct5 9% pd? -
Stats 244.3 Test 6
Monday, April 7
Open Book (Select answers cl
i. The pre-test score (x) and
ii. The nal mark (y) on the calculus course.
3 S3. 335. c
Choices for 1. to 3.
a) 3
SCHNNED
Stats 244. 3 Test 6
Thursday . March 3 l
Open Book (Select answers closest to the correct answers)
I. In the following study n = IO students, enrolled In a 151 year calculus course, were
given
KINESIOLOGY
09/08/17
The Generation of Knowledge
Often the goal of research is the generation of knowledge
Systematic- Problems, methods, data, analysis, interpretation, conclusions
Logical- others ca