94 students in a statistics class are categorized by gender and by the year in school.
The numbers obtained are displayed below:
Suppose we wish to test the null hypothesis that there is no association between the
year in school and gender. Under t
FACULTY OF SCIENCE
Department of Mathematics and Statistics
Introduction to Statistics I
(see Course Descriptions for the applicable academic year: http:/www.ucalgary.ca/pubs/calendar/)
EXPLORATORY DATA ANALYSIS
CHAPTER 9 ANALYSIS OF TWO-WAY TABLES
In Chapter 12 (One-Way ANOVA) we learned how to study the effect of a categorical factor (X) on a quantitative response variable (Y). In chapter 9, we are going
Analysis of Variance
In this set of notes we review the single factor one-way ANOVA, revisit the single factor
randomized block design, look at the Tukey Kramer multiple comparisons method,
and study the two way ANOVA.
The One-Way ANOVA
In the single fact
Exam 2 Review Problems:
1. What does the following equation represent? yi 0 1 xi
a) The Simple Linear Regression Model
b) The least-squares regression equation
c) The relationship between x and y in our data set
d) The assumptions for simple linear regres
Hypothesis testing homework solutions
Setting up and interpreting results of a hypothesis test
ACT-1. Practice with p-values
Use the density tool to practice finding p-values.
I. Set the mean to 35, the standard deviation to 12.5, and the sample size to 1
A BRIEF INTRODUCTION TO MINITAB STATISTICAL SOFTWARE
To start Minitab
Go to Start Menu Choose Programs Go to Minitab 12, and click on Minitab to open the program.
Minitab consists of four windows:
session, data, info and history windows.
Stat 217 Review Solutions
a. Ho: = 1100
Ha: < 1100
b. Reject Ho if Zcalc ! -1.645 (you can use Z because df=259)
c. Zcalc = -2.69
Dec: Reject Ho, -2.69<-1.645
Conclusion: At the 5% significance level, there appears to be a drop in the average daily
Hypothesis Testing for Linear Regression 1
4.2: Hypothesis Testing for Linear Regression
Textbook: 11.1, 11.2, 11.3, 11.5
Be able to conduct a hypothesis test for the population regression y-intercept
Be able to conduct a hypothesis test for
Units 1 - 3 Practice Problems
Here are several additional practice problems from Unit 1, Unit 2, and Unit 3. The problems are
in no particular order. These problems will not be graded, so you dont need to do them if you
dont want to! But if you want to go
b) Between three and nine, inclusive
c) Given that a store has a $75,000 advertising budget, predict the sales for this store using
d) Interpret the meaning of the slope and the intercept in the
Faculty of Science
DEPARTMENT OF MATHEMATICS AND STATISTICS
Course Information Sheet
1. STAT 213 - Introduction to Statistics I - Winter, 2013
Lecture Days Time Location Instructor
Lec 2 MWF 15:00 ST 143
Changes to Average/SD
1. Suppose we know incomes for a group of employees.
Sum of incomes
i.e. average income =
# of employees
Suppose each employee gets a $100 increase, what is the new average?
From sketch, new average = old a
From records for adult body temperatures (oC) measured prior to voluntary surgery, a
sample of 108 records found a mean of 36.39 oC and a SD, s of 0.62 oC.
to find CI.
Use Minitab to find the following confidence interva
Not only do we not need the number of heads to equal the number of tails in the long,
run, but we can, in fact, be almost certain that they will not be equal.
2 tosses, prob. #heads = # tails:
2 1 1
P(exactly 1 head in 2 tosses) = = 0.5
1. The average time to perform a task in a manufacturing process is assumed to be 15
seconds. For a group of new employees the employee representative thinks this is not
enough time on average. 20 new employees are selected and
1. An article in a magazine stated that 10% of people are left handed. Suppose in a
certain group of 10 people 1 is left-handed (i.e. 9 are right handed). From the 10
people two are to be picked to serve on a committee.
1. How many arrangements (permutations) of the letters of the word bookkeeping is
possible? (Write in factorial form.)
2. There is a group of 30 individuals from which a jury of 12 is to be chosen. In how
many ways can this be d
Summary - Experiments, Observational Studies and Samples
Statisticians use the method of comparison. They want to know the effect of the treatment (e.g. the
Salk vaccine) on a response (like getting polio). They compare the response