Unit 2 Practice Questions Solutions
1. (a) We calculate the correlation as follows:
xi
16
40
4
19
5
7
yi xi x
2
0.83
21 24.83
1 11.17
8
3.83
3 10.17
4 8.17
yi y
4.50
14.50
5.50
1.50
3.50
2.50
(xi x)(y
Unit 7 Practice Questions Solutions
follows a normal distri1. (a) Since X follows a normal distribution, the sample mean X
bution for any sample size n, so we can calculate this probability:
< 145)
Unit 5 Density Curves and the Normal Distribution
Density Curves
We have some data and draw histograms and we get a picture of the
distribution.
If we have really large amounts of data, aside from the
Unit 4 Design of Experiments
We considered extracting information from data using:
Graphical tools (histograms, stemplot).
Numerical summaries.
Weve analyzed one and two variable data.
How do we obtai
Unit 2 Scatterplots, Correlation and Regression
So far, we have been looking at dierent ways to summarize and depict a
single quantitative variable. We will now begin looking at relationships that
two
STAT1000 - Basic Statistical Analysis I
STAT1000 - Basic Statistical Analysis I
1 / 109
Unit 1 Examining Distributions
Types of variables.
Displaying distributions with graphs.
Describing distribution
Sample Midterm A
1. Consider the following:
Film ratings exist to inform parents about the content of movies, so they can decide
which films are appropriate for their children to see, and at what age
STAT 1000 Quiz 1 Solutions
1. (a) categorical & nominal
(b) categorical & ordinal
(c) quantitative
2. (a) The tail of the distribution extends to the left, so the distribution is skewed to the
left.
(
Unit 4 Practice Questions Solutions
1. (a) This is a completely randomized design.
(b) The experimental units are the 60 cold sufferers.
(c) There are two factors in this experiment type of beverage a
Stat 10 Lew FINAL IS 3/20/03 11:30am2z30pm
FINAL WILLBE HELDINTHELECTUREHALL
1. Mr. Joe Potato works very hard during the workweek (Monday through Friday), but likes to watch a lot of
television on we
Sample Term Test 1B
1. Among other questions on a vehicle insurance form, you are asked to provide your:
(i)
(ii)
(iii)
month of birth
year of birth
license plate number
These three variables are, res
Sample Term Test 1A
1. A survey of 500 residents of Quebec is conducted and they are asked whether they have
a favourable opinion of Western Canadians. What is the population of interest in this
study
1. The following table gives the highest temperatures on record for selected cities:
For each of the above column headings, identify whether the variables are categorical (ordinal, or
nominal) and qua
1) The lifetime of a 2-volt non-rechargeable battery in constant use has a normal distribution
with a mean of 516 hours and a standard deviation of 20 hours. 90% of all batteries have a
lifetime less
SHOW ALL YOUR WORK
1. Consider the following 10 data points:
x
3
5
6
4
3
7
6
5
4
7
y
4
3
2
1
2
3
3
5
4
2
(a) Plot the above observations on a scatterplot.
(b) Calculate the correlation coefficient, r
SHOW ALL YOUR WORK
1. A variable X has a distribution which is described by the density curve
shown below:
[4]
a. What proportion of observations of X are less than 5?
b. What proportion of observatio
Multiple-choice questions
1 Pr(Z < 1.983), where Z is a standard normal random variable is closest to:
A 0.0237
B 0.9763
C 0.4763
D 0.0559
E 0.9441
2 If Z is a standard normal random variable, and Pr(
Sample Term Test Multiple Choice Answers
Question
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
Sample Test 1A
A
E
B
D
A
B
E
C
E
A
A
D
Unit One
Finding the median:
(n+1)/2
Mode:
The most frequent occuring value
Outliers:
Extreme values which affect the mean, but not the median
Robust:
Not affected
Not Robust:
Affected
Skewed to the l
Unit 5 Density Curves and the Normal Distribution
Density Curves
We have some data and draw histograms and we get a picture of the
distribution.
If we have really large amounts of data, aside from the
STAT1000 - Basic Statistical Analysis I
STAT1000 - Basic Statistical Analysis I
1 / 109
Unit 1 Examining Distributions
Types of variables.
Displaying distributions with graphs.
Describing distribution
Unit 2 Scatterplots, Correlation and Regression
So far, we have been looking at different ways to summarize and depict a
single quantitative variable. We will now begin looking at relationships that
t
Unit 6 Randomness and Probability
Variability and Randomness
Statistics involves the study of variability. But how can we work with
something that involves so much uncertainty?
To understand this, we
Unit 1 Examining Distributions
Types of variables.
Displaying distributions with graphs.
Describing distributions with numbers.
What is the study of Statistics?
Statistics provide the tools and id
UNIT 5: DENSITY CURVES AND THE NORMAL DISTRIBUTION
Density Curves
We have some data and draw histograms and we get a picture of the distribution.
If we have really large amounts of data, aside from
Unit 4 Design of Experiments
We considered extracting information from data using:
Graphical tools (histograms, stemplot).
Numerical summaries.
Weve analyzed one and two variable data.
How do we obtai
Unit 5 Practice Questions Solutions
1. A statistic is a number that describes a sample, whereas a parameter is a number that
describes an entire population.
(a) $72,240 parameter
$68,179 statistic
19%
Statistical Tables
Statistics
c 2015 Department of Statistics, University of Manitoba
Copyright
List of Tables
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2
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Random digits
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z (continued) .
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