Stat 100 Sample Final #3
1. The following table lists the recent share price (in US $) of twelve financial institutions.
Bank of New York Mellon
$26.87
Bank of America
$12.54
Banco Itau
$ 8.86
Toronto Dominion
$40.54
JP Morgan Chase
$25.27
Royal Bank
$32.
The Normal Curve
and The Sampling Distribution
Discrete vs Continuous Data
We have seen examples of probability distributions for
discrete variables X, such as the binomial distribution.
We could use it to answer questions such as what is the
probability
Comparing Multiple Means
So far, we have only discussed inferences on one
population, either
estimating a population parameter of a single
population, such as the average student debt level of
2010 U of R graduates.
or
testing a hypothesis that compared
Inferential Statistics: Introduction to
Confidence Intervals and Hypothesis Tests
We will now look at two basic tools of inferential
statistics:
1) the confidence interval (or parameter estimation)
2) the hypothesis test
In this unit we will look at both
Data Description
We now look at several methods to describe data sets
using numbers. We will consider measures of
B central tendency
B variation
B position
B correlation (we will deal with this later)
In what follows, let x represent numerical data. For
e
Inferences for One Population
Up to this point, our problems (confidence intervals or
hypothesis test) have required the following conditions:
1. We were making inferences on the population mean, :,
e.g. what is the average claim payout?.
We could also ma
STATISTICS
Introduction and Basic Definitions
What is Statistics?
Statistics is concerned with the process of
(1) collecting, organizing and presenting data,
(descriptive statistics)
(2) using data in decision making and problem
solving.
(inferential stat
Stat 100 Sample Final #2
1. The following frequency histogram lists the tuition fees of a sample of 30 US colleges (both
private and public).
a) Classify the data tuition fee.
(e.g. quantitative/discrete)
b) Use midpoints of each class to
estimate the mea
Stat 100 Sample Final #1
1. Consider the following distribution of heights (in cm) in a sample of tomato plants:
Height
15#x<20
20#x<25
25#x<30
30#x<35
35#x<40
40#x<45
45#x<50
35
44
27
17
8
2
Frequency 16
(a) Classify the data (e.g. qualitative) and the s
Stat 100 Sample Final Questions
(Lots!. this is probably more like two finals worth)
1. Suppose the ages of 19 children at a day care children are as follows (in months):
36, 42, 18, 32, 22, 22, 25, 29, 31, 19, 30, 24, 35, 29, 26, 36, 24, 28, 28
a) Classi
Introduction to Probability
Basic Concepts
A probability experiment is any experiment whose
outcomes relies purely on chance (e.g. throwing a die). It
has several possible outcomes, collectively called the
sample space S.
An event is any possible subset o
Thursday, Feb. 27h Name: 30 L UT i W5
ID #:
Stat 100-991 Winter 2014 uiz #3
l. A gambler repeatedly plays the same game of chance. Each game always has a 1/5 probability
of winning. [9 marks]
a) The gambler plays the game ten times. What is the probabi
Stat 100 Sample Midterm Questions
1. The following data shows the number of phones (including cell phones) per household in a
sample of 13 households.
1, 3, 2, 3, 5, 7, 3, 8, 3, 2, 5, 7, 6
Find the mean, median, mode, standard deviation, and interquartile
Exercises: Inferences on One Population
1. A financial auditor wants to estimate the mean payout for automobile accidents at an insurance
company by sampling 26 random cases. The sample mean is found to be $17,415. The
distribution of accident payouts can
Stat 100 Exercises - Central Tendencies, Variation, and the Five Number Summary
1. The following are the yields of twelve tomato plants (i.e. numbers of tomatoes produced by
each plant): 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 10, 13
a) Compute the mean, median, mo
Exercises - Correlation/Regression
Part A - Multiple Choice
1. Consider the following scatter plot for two paired variables X and Y.
Which of these statements is correct (study the graph carefully!):
a) the correlation coefficient should be close to zero,
P robability Practice Problems
1. Two cards are drawn at random from a 52-card deck without replacement. Find the probability
that
a) neither card is an ace.
b) at least one card is a spade.
c) the second card is an ace, given that the first card was not
Basic Confidence Interval and Hypothesis Testing Examples
1. A store is preparing the launch of a new product and is considering various price points at
which to sell it. A market survey of the selling price at 25 competitorshas a mean selling
price of $9
Stat 100 Unit 1 Exercises - Data Types, Sampling Techniques, Tables and Graphs
1. Classify each variable using the appropriate terms from the following list:
qualitative, quantitative, continuous, discrete.
a) weight (in grams) of tomatoes at a grocery st
Bivariate Data - Correlation and Regression
So far, we have discussed primarily data containing one
variable only (e.g. the blood pressure level of a given
population). We now consider tools to analyze data with
more than two variables: explanatory (indep
Thursday, Jan 23I Name:
ID #:
Stat 100-991 Winter 2014 uiz #1
1. The following partial frequency table lists the speed (in km/h) of a sample of 60 cars in a
school zone.
[1'0 marks]
a) Complete the table above.
b) For each of i)-iv), circle the mos