MTH 208AW - Elementary Statistics - Extended Hours

Credits: 3
Instructional Contact Hours: 5

This course is designed for students who need practice in foundational skills while engaging in college-level study of mathematics and problem-solving skills. Class sessions and assignments will reinforce prerequisite skills and topics through embedded support and just-in-time remediation.

Prerequisite(s): High school GPA of 2.5 or higher within the last ten years OR completion of Guided Self-Placement (GSP) process.
Corequisite(s): None
Lecture Hours: 75 Lab Hours: 0
Meets MTA Requirement: Math
Pass/NoCredit: Yes

Outcomes and Objectives  

1. Apply standard measures of descriptive statistics.
   1. Manipulate summation notation as it applies to mean, variance and standard deviation.
   2. Apply the Midpoint formula to a weighted mean, mean from a frequency table/distribution as well as class marks for histograms.
   3. Follow the order of operations with emphasis on grouping symbols such as square roots and absolute value.
   4. Calculate, describe, and apply measures of center (mean, median, mode).
   5. Calculate, describe, and apply measures of variation (standard deviation, variance range).
   6. Calculate, describe, and apply percentiles.
   7. Calculate, describe, and apply graphs (frequency distributions, histograms, stem and leaf plots, box and whisker plots).
2. Demonstrate understanding of statistical inference.
   1. Plot points and intervals on a number line as it applies to confidence intervals and z score comparison.
   2. Represent an inequality as an interval on a number line as it applies to confidence intervals and the comparison of probabilities.
   3. Compute the distance between two points on a number line as it applies to comparing test statistics with critical values as well as placing mean and standard deviation on a number line.
   4. Calculate powers of a number as it relates to the understanding of the binomial probability formula.
   5. Apply the complement, union and intersection as they relates to determining probability.
   6. Evaluate algebraic expressions and solve linear equations of one variable as it would relate to correlation, regression and minimum sample sizes.
   7. Identify different methods of data collection.
   8. Calculate and describe basic probability.
   9. Calculate probability using the binomial distribution, the normal distribution, and the central limit theorem.
   10. Use correlation and regression to describe relationships between numerical variables.
   11. Calculate confidence intervals to estimate population averages and proportions.
3. Demonstrate understanding of the logic of statistical inference.
   1. Order decimal numbers as it applies to hypothesis testing conclusions – both p-value to level of significance and comparison of critical value to test statistic.
   2. Convert between fractions, decimals and percent as it applies to hypothesis testing for proportions and computing test statistics.
   3. Compute and apply signed number arithmetic for z score, t score, chi square and other summary statistics.
   4. Manually perform all of the steps of a hypothesis test for a claim about the population mean.
   5. Students will demonstrate their understanding of the significant level of a test and the use of p-values in statistical software.
   6. Determine the appropriate test statistic and make inferences for a variety of models, including single sample mean (large and small sample), proportion and variance, two sample mean and proportion, Chi Square and ANOVA.
4. Communicate understanding of statistical concepts in writing.