Multiple Linear Regression: First Order Example
A collector of antique grandfather clocks knows that the price received for the clocks
increases linearly with the age of the clocks. Moreover, the collector hypothesizes that
the auction price of the clocks
Sign Test Example
A random sample of 25 households were taken in a particular city and the weekly weight
of its recyclable material are:
14.2
5.6
5.3
7.8
2.9
3.9
4.2
4.7
1.2
6.5
4.3
29.5
1.1
2.1
2.6
34.8
6.7
3.6
7.8
5.8
25.9
4.5
43.8
6.7
2.7
a) Test to se
Comparing Two Population Means: Independent Sampling Example
In a packing plant, a machine packs cartons with jars. It is supposed that a new machine
will pack faster on average than the machine currently used. To test this, the times it takes
each machin
Fishers Exact Test Example
A sample of 24 teenagers is divided into male and female, and those that are and are not
currently dieting. We hypothesize that the proportion of dieting individuals is higher
among the women than among the men, and we want to t
Inference about a Population Proportion Example
According to a survey conducted 5 years ago, 42% of summer visitors to a citys main
park are tourists from out of town. To check whether this percentage has changed, a new
survey was conducted. Of the 250 pa
Testing Category Probabilities: Two Way Table Example
A large brokerage firm wants to determine whether the service it provides to affluent
clients differs from the service it provides to lower-income clients. A sample of 500
clients is selected, and each
Comparing Two Population Means: Paired Difference Example
A manufacturer of automobile shock absorbers was interested in comparing the durability
of its shocks with that of the shocks produced by its biggest competitor. To make the
comparison, one of the
Wilcoxon Signed Rank Test Example
A city park developer compared a new formulation of a fertilizer, brand A, to the
previously used fertilizer brand B, on each of 20 different softball fields. Each field was
divided in half, with brand A randomly assigned
Testing Category Probabilities: One Way Table Example
A large firm has established what it hopes is an objective system of deciding on annual
pay increases for its employees. The system is based on a series of evaluation scores
determined by the superviso
Keer Fan
Assignment1
STAT2183W
Report
Introduction
There are many IRS forms that people usually need to fill out. The Internal Revenue Service
(IRS) claims that three of its forms (Form A, B, and C) should each typically take about 160
minutes to fill out
Simple Linear Regression Example
Data from a sample of 10 pharmacies are used to explain the relation between
prescription sales volume and the percentage of prescription ingredients purchased
directly from the supplier. The sample data are:
Pharmacy
% of
Multiple Linear Regression: Interaction Example (cont.)
In the grandfather clock example, suppose that the collector, having observed many
auctions, believes that the rate of increase of the auction price with age will be driven
upward by a large number o
Multiple Linear Regression: Both Quantitative and Qualitative Variables Example
An industrial psychologist conducted an experiment to investigate the relationship
between worker productivity and a measure of salary incentive for two manufacturing
plants;
Testing Category Probabilities: One Way Table Example
A large firm has established what it hopes is an objective system of deciding on annual
pay increases for its employees. The system is based on a series of evaluation scores
determined by the superviso
Testing Category Probabilities: Two Way Table Example
A large brokerage firm wants to determine whether the service it provides to affluent
clients differs from the service it provides to lower-income clients. A sample of 500
clients is selected, and each
Factorial Experiment: Two Factor Example
Suppose the USGA tests four different brands (A, B, C, D) of golf balls and two different
clubs (driver, five-iron) in a completely randomized design. Each of the eight Brand-Club
combinations (treatments) is rando
Completely Randomized Design: Single Factor
Suppose the USGA wants to compare the mean distances associated with four different
brands of golf balls when struck with a driver. A completely randomized design is
employed, with Iron Byron, the USGAs robotic
Kruskal-Wallis H-test Example
Suppose a health administrator wants to compare the unoccupied bed space for three hospitals in
the same city. She randomly selects 10 different days from the records of each hospital and lists
the number of unoccupied beds f
Factorial Experiment: Two Factor Example 2
Refer to the previous Two Factor Example handout. Now suppose the same factorial
experiment is performed on four other brands (E, F, G, H), and the results are:
BRAND
Driver
Club
Five-Iron
E
238.6
241.9
236.6
244
Friedman Test Example
Suppose you have used a randomized block design to help you compare the effectiveness
of three different treatments, A, B, and C. You obtained the data given in the following
table and plan to conduct a Friedman Fr-test:
Block
1
2
3
Cover Page
(Should be one page including your name, the title of your paper and the date.)
Title (again)
Introduction
(Write 1-2 paragraphs. Be sure to set up the problem and state what you are trying to prove.)
Part (i).
(Give an appropriately titled and
Randomized Block Design Example
Refer to the Completely Randomized Design example. Suppose the USGA wants to
compare the mean distances associated with four brands of golf balls when struck by a
driver, but wish to human golfers rather than the robot Iron
STAT 2183 & 2183W
Midterm Examination
March 19, 2014
Name: _
ID#: _
NOTATION:
FTR: fail to reject
1. To compare the performance of two computer programs, students are randomly assigned to
one of them. Each student is given the same set of problems to solv
Multiple Linear Regression: Quadratic Example
In all-electric homes, the amount of electricity expended is of much interest. Suppose we
wish to investigate the monthly electrical usage, y, in all-electric homes and its
relationship to the size, x, of the
Multiple Linear Regression: Qualitative Variable Example
Suppose an economist wants to compare the mean dollar amounts owed by delinquent
credit card customers in three different socioeconomic classes: (A) lower class, (B)
middle class, and (C) upper clas
Wilcoxon Rank Sum Test Example
An investigator designed a test to study the effect of alcohol on driving reaction times.
Ten participants consumed a specified amount of alcohol and another group of ten
participants consumed the same amount of a non-alcoho