# Math 1070-C Introduction to the Practice of Statistics

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Math 1070-C
Introduction to the Practice of Statistics
3 Semester Units

Author
Rebecca Elliott, M.S.
Associate Instructor
Continuing Education
University of Utah

Text
Moore, D.S.. and G. McCabe. Introduction to the Practice of Statistics (6th Edition) W.H. Freeman
and Company

You will need a calculator that computes two-variable statistics and that will compute a regression
line and correlation. You will need to use the calculator for the exams as well as assignments.

Course Objectives
•   to teach you to describe data
•   to teach you to evaluate data

Course Description
The important topics used in making inferences from data will be presented and illustrated as
well as material on descriptive statistics, estimation of the mean, or of the proportion in one or
two populations. Simple linear regression, and one-way analysis of variance are also considered.
The course consists of 10 lessons and your final grade is determined as follows:
10 Assignments                   25%
3 Exams (25% each)               75%
Total                           100%
The assignments are made up of problems to be worked. You need to recognize the type of
problem to be solved as well as do the computations. Your assignment grade is based on how
problems are worked, not just whether you have the correct answers. Therefore you must show
your work for all problems. If you don’t show all work, you will receive a lower grade.
There are three exams and the second and third exams are cumulative. All exams are open book
to allow you access to necessary tables, and you will need to use your calculator. The exam
problems are similar to those worked in the assignments and practice exams with answers are
included in the course manual.
*Fail exam III, fail the course. University of Utah Independent Study policy requires students to
pass the last exam in order to pass the class. A final grade — whether passing or failing — will
be recorded with the University of Utah Registrar.
Transfer of Credit
If you are planning to transfer University of Utah Independent Study credit to another institution
or use the credit for recertification/professional education purposes, obtain approval from the
appropriate entity prior to registering for this course.

Beth Malloy, B.S., Associate Instructor, Academic Outreach and Continuing Education

Lesson Content
Lesson 1        Looking at Data — Distributions
•   Introduction
•   Displaying distributions with graphs
•   Describing distributions with numbers

Lesson 2        Density Curves and Normal Distributions

Lesson 3        Looking at Data — Relationships I
•   Scatterplots
•   Correlation
•   Least-squares regression

Lesson 4        Looking at Data — Relationships II
•   Cautions about regression and correlation
•   Data analysis for two-way tables
•   The Question of causation

Lesson 5        Producing Data
•   First steps
•   Design of experiments
•   Sampling design
•   Toward statistical inference

Lesson 6        Probability: The Study of Randomness
•   Randomness
•   Probability models
•   Random variables
•   Means and variances of random variables

Lesson 7        From Probability to Inference
•   Sampling distributions for counts and proportions
•   The sampling distribution of a sample mean

Lesson 8        Introduction to Inference
•   Estimating with confidence
•   Tests of significance
•   Use and abuse of tests

Lesson 9        Inference for Distributions
•   Inference for the mean of a population
•   Comparing two means
Lesson 10       Proportions; Analysis of Two-Way Tables
•      Inference for a single proportion
•      Comparing two proportions
•      Inference for two-way tables
•      Formulas and models for two-way tables

Lesson 11       Inference for Regression
•      Simple linear regression
•      More detail about simple linear regression

Lesson 12       One-Way Analysis of Variance