Faculty Syllabus

MATH-1342 Elementary Statistics


Credit Spring 2023

Section(s)

Course Requirements

Four Tests: 80%

WileyPlus Assignments - Online Homework: 10%

Quizzes and Written Homework : 10%

Readings

This is a First Day™ class. The cost of required course materials, including an online version of the textbook and software access, has been added to your tuition and fees bill.     

Textbook: Statistics: Unlocking the Power of Data, 3rd Edition by Lock, Lock, Lock Morgan, Lock, Lock. Wiley (WileyPlus software) ISBN: 9781119682288

Course Subjects

Note: Schedule changes may occur during the semester. Any changes will be announced in class and posted as a Blackboard Announcement. 

Week

Sections

Material

1

1.1, 1.2

The Structure of Data, Sampling from a Population

2

1.3, 2.1, 2.2

Experiments and Observational Studies, Categorical Variables, One Quantitative Variable: Shape and Center

3

2.3, 2.4

One Quantitative Variable: Measures of Spread, Boxplots and Quantitative/Categorical Relationships

4

Test 1, 2.5

Two Quantitative Variables: Scatterplots and Correlation

5

2.6, Unit A

Two Quantitative Variables: Linear Regression, Essential Synthesis

6

P.1, 3.1

Probability Rules, Sampling Distributions

7

3.2 – 3.4

Understanding and Interpreting Confidence Intervals, Constructing Bootstrap Confidence Intervals Using Standard Error and Percentiles

8

Test 2, 4.1

Introducing Hypothesis Tests

9

4.2, 4.3, 4.4(a)

Measuring Evidence with P-values, Determining Statistical Signficance, A Closer Look at Testing

10

4.5, Unit B, 5.1

Making Connections, Hypothesis Tests Using Normal Distributions

11

6.1, 6.3

Inference for a Proportion and for a Difference in Proportions (Distribution, Confidence Intervals, Hypothesis Tests)

12

Test 3, 6.2 

Inference for a Mean (Distribution, Confidence Intervals, Hypothesis Tests)

13

6.4, 6.5, Unit C

Inference for a Difference of Means or a Paired Difference in Means (Distribution, Confidence Intervals, Hypothesis Tests)

14

7.2, 8.1

Testing for an Association between Two Categorical Variables, Analysis of Variance (ANOVA)

15

4.4 b, 9.1

A Closer Look at Testing – Type I and Type 2 errors, Inference for Slope and Correlation

16

Test 4

 

Student Learning Outcomes/Learning Objectives

 MATH 1342 Common Course Objectives

  1. Interpret ideas of population versus sample, random variables, and techniques of descriptive statistics including frequency distributions, histograms, boxplots, and scatterplots. 
  2. Calculate and interpret measures of central tendency and dispersion, including mean, median, standard deviation, and quartiles. 
  3. Find and use empirical probabilities in bootstrap distributions to find confidence intervals and in randomization distributions to test hypotheses.
  4. Find and use theoretical probabilities from normal, t, chi-squared and F distributions to form confidence intervals and test hypotheses. Apply the 95% rule to normal and to approximately normal distributions.
  5. Analyze relationships between two quantitative variables using correlation and linear regression.
  6. Analyze data presented in two-way tables to provide information about relationships between categorical variables.
  7. Apply ideas of appropriate sampling techniques and experimental design to data production. 
  8. Use the sampling distributions of sample proportions and sample means to answer appropriate questions. 
  9. Estimate single means, difference of two means, single proportions and difference of two proportions using confidence intervals. Interpret the results. 
  10. Demonstrate skills in hypothesis testing for means and proportions, for single populations and comparison of two populations. 
  11. Demonstrate skills in hypothesis testing using chi-squared tests.
  12. Demonstrate skills in inference for regression and ANOVA techniques.

Throughout the course, students will use statistical applets to do computations and produce graphical displays needed to analyze data.  Students will do some statistical calculations by hand with a scientific calculator.  

 MATH 1342 Student Learning Outcomes

  1. Upon successful completion of the course, a student should be able to:
  2. Explain the use of data collection and statistics as tools to reach reasonable conclusions.
  3. Recognize, examine, and interpret the basic principles of describing and presenting data.
  4. Compute and interpret empirical and theoretical probabilities using the rules of probabilities and combinatorics.
  5. Explain the role of probability in statistics.
  6. Examine, analyze, and compare various sampling distributions for both discrete and continuous random variables.
  7. Describe and compute confidence intervals.
  8. Solve linear regression and correlation problems.
  9. Perform hypothesis testing using statistical methods.

Office Hours

T Th 11:50 AM - 12:20 PM CYP 2204.2

NOTE or by appointment

T Th 2:55 PM - 3:25 PM HLC1 1431

NOTE or by appointment.

T Th 8:25 AM - 8:55 AM CYP 2204.2

NOTE

Office Hours

T Th 11:50 AM - 12:20 PM CYP 2204.2

NOTE or by appointment

T Th 2:55 PM - 3:25 PM HLC1 1431

NOTE or by appointment.

T Th 8:25 AM - 8:55 AM CYP 2204.2

NOTE

Published: 01/17/2023 00:33:21