STAT 200 Final Exam Solutions
Summer 2008 (modified version)
Note: This modified version is slightly shorter than a standard 2.5 hour final exam.
Problem 1
(a)
Since 51+74=125 patients had duration between 1 and 2 days,
and among them 5+10=15 patients got
STAT 200 Chapter 5 Sampling Distributions
The binomial distribution for counts (Section 5.1)
1. Motivating examples:
(a) You ip a coin 10 times. How many times will a head turn up?
(b) One hundred Vancouver residents are randomly chosen and asked if they
Summer 2015 STAT 200
Chapter 15
Sampling Distribution Models
Population vs. sample, parameter vs. statistic
Population vs. sample, parameter vs. statistic
The complete collection of individuals that we want to study about
is called a population. A census
Exercise Questions: Chapter 4
4.1 Use Table B. We can use the random digits in Table B in the back of the text to
simulate tossing a fair coin. Start at line 109 and read the numbers from left to right. If
the number is 0, 1, 2, 3, or 4, you will say that
Exercise Questions: Chapter 7
7.18 Onesided versus twosided Pvalues. Computer software reports = 15.3 and P =
0.04 for a t test of H0: = 0 versus Ha: 0. Based on prior knowledge, you can justify
testing the alternative Ha: > 0. What is the Pvalue for
Summer 2014 STAT 200
Chapter 18
Sampling Distribution Models
Population vs. sample, parameter vs. statistic
The complete collection of individuals that we want to study about
is called a population. A census provides a means to obtain complete
and accura
Summer 2014 STAT 200
Chapter 6
The Standard Deviation as a Ruler and the Normal
Model
How do shifting and scaling the data aect the mean, SD and other
summary statistics?
1. Shifting the data
add a constant c to each observation in the data
any measure
Summer 2014 STAT 200
Chapters 1417
Probability and Random Variables
Do you ever wonder how email spam lters work? In simple terms,
algorithms are developed to screen incoming emails. Each email message
is assigned a spam score (based on whether certain s
Summer 2014 STAT 200
Chapters 20 & 21
Testing Hypotheses About Proportions
Fundamentals of Hypothesis Testing
In statistics, a hypothesis is a statement or a claim about a parameter
(a numerical characteristic of a population).
To test the claim, we car
Summer 2014 STAT 200
Chapter 25
Comparing Means between Two Paired Groups
In Chapter 24 we learnt the procedure for estimating and testing
hypotheses on the dierence between two population means based on
data obtained from two independent samples.
In this
Summer 2014 STAT 200
Chapter 7 Scatterplots, Association, and Correlation
Motivating Examples
Question #1:
intelligent?
Do people with bigger brains tend to be more
Statistical process of investigation:
1. Formulate research question:
How is human intelli
Summer 2014 STAT 200
Chapter 24
Comparing Means between Two Independent Groups
Objective: to compare the means of two INDEPENDENT populations
We draw a random sample from each of the two independent
populations:
y11, y12, , y1n1 (sample size n1) from a
Summer 2014 STAT 200
Chapters 23 Inferences About Means
Let y be a variable that follows a certain distribution with mean and
standard deviation . If we have a large enough sample size n, and other
necessary conditions being satised, then the sampling di
1. Harris recently installed a spam lter software, but he still saw spam emails in his inbox. He
made a daily record of the number of spam emails that were delivered to his inbox over the
past 20 days. The following is a frequency histogram for his data.
1. The following boxplots show left hand lengths. The boxplot on the left shows data from left
handers. The boxplot on the right shows data from right handers.
Which of the following statements is (are) correct about the distributions of the left hand siz
1. The following boxplots show left hand lengths. The boxplot on the left shows data from left
handers. The boxplot on the right shows data from right handers.
Which of the following statements is (are) correct about the distributions of the left hand siz
1. Harris recently installed a spam lter software, but he still saw spam emails in his inbox. He
made a daily record of the number of spam emails that were delivered to his inbox over the
past 20 days. The following is a frequency histogram for his data.
STAT 200
Assignment #2
Due at 3pm on Fri
Aug 1, 2014
1. Recall in Assignment #1, the biologist who is concerned about mercury
contamination in lakes examined water samples and fish from 53 lakes.
a. The biologist wants to predict average mercury concentra
Summer 2014 STAT 200
Chapters 1 & 2 Introduction and Data
What is Statistics?
Statistics is a science that involves the design of studies, data collection,
summarizing and analyzing the data, interpreting the results and drawing
conclusions.
Conclusions a
Summer 2014 STAT 200
Chapter 3 Displaying and Describing Categorical Data
Displaying Data for Categorical Variables
For categorical data, the key is to group similar things together.
I. Frequency tables / Relative frequency tables
A (relative) frequency t
Summer 2014 STAT 200
Chapter 4
Displaying and Summarizing Quantitative Data
Graphical presentations of distributions of quantitative data
I. Histogram
Example: How big were the earthquakes that occurred in British Columbia
during Aug 2011  Aug 2012?
Euge
Summer 2014 STAT 200
Chapter 5
Understanding and Comparing Distributions
Comparing Distributions with Histograms
When we are comparing two or more distributions using the histogram,
one should plot the histograms on the same scale.
Example: How do the dis
Summer 2014 STAT 200
Chapters 8 & 9 Linear Regression
Objective: to describe a linear relationship between two quantitative
variables using a model. The model ts a straight line to the data, and
can be used to make predictions on the response variable y g
Summer 2014 STAT 200
Chapter 19
Condence Intervals for Proportions
Let p and p represent the population proportion and the sample proportion,
respectively. If we have a suciently large sample of size n such that
np 10 and n(1 p) 10, and other necessary co
6/10/2014
Calculations for Preparing a Standard Solution
Calculations for Preparing a Standard Solution
Part 1  Calculate the concentration of oxalic acid.
Name: gaojunyi
Student Number: 99952129
In Exp #4, you will prepare 250.0 mL of the standard solut
Experiment 4 Practice Activity
20140610, 4:47 PM
Experiment 4
Unknown KMnO4 Practice Titration
< Return to problem page
Name: gaojunyi
Student Number: 99952129
Using the Virtual Laboratory design and perform a titration to determine the concentration of
Sample midterm A  Solution key
1. Harris recently installed a spam filter software, but he still saw spam emails in his inbox. He
made a daily record of the number of spam emails that were delivered to his inbox over the
past 20 days. The following is a
Sample midterm B  Solution key
1. The following boxplots show left hand lengths. The boxplot on the left shows data from
left handers. The boxplot on the right shows data from right handers.
Which of the following statements is (are) correct about the di
1. a)
200
50
100
150
hp
250
300
31
The graph is skewed to the right. The measure of centre is 123 and the measure of spread is 83.5.
1. b)
300
31
200
50
100
150
hp
250
29
automatic
manual
am
Manual transmission: The measure of centre is 109 and the measur
Chapters 15
Know how to interpret and when to use which summary statistics and graphical displays

Mean: = =1

Median:
+1

Odd: median =

Even: median = average of
2
th observation
2
th and
2
+ 1th

Mode: the most common element

Range = max min

STAT 200
Chapter 11
Experiments and Observational Studies
Observational Studies vs. Experiments
There are two main types of studies:
1. Observational study:
Consider a study which investigates the relationship between learning
music and academic performan