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. Demonstrate an understanding of the 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 grouped mean, class midpoint from a frequency table/distribution and class marks for histograms.
   3. Follow the order of operations with emphasis on grouping symbols such as square roots and absolute value.
   4. Calculate and interpret measures of center including mean, median, and mode.
   5. Calculate and interpret measures of variation including standard deviation, variance, and range
   6. Calculate and interpret percentiles, quartiles, and the interquartile range.
   7. Calculate the correlation coefficient and the coefficients of the linear regression equation.
   8. Use correlation and regression to describe relationships between numerical variables. 
   9. Organize quantitative and qualitative data in a variety of tables.
   10.  Create and interpret a variety of graphs including bar graphs, histograms, stem and leaf plots, box and whisker plots, and scatterplots.
2. Demonstrate an understanding of probability. 

A. Calculate and interpret basic probabilities.
B. Calculate and interpret conditional probabilities. 
C. Calculate powers of a number as it relates to the understanding of the binomial probability formula.
D. Apply the complement, union, and intersection as they relate to determining probability.
E. Calculate probabilities using the binomial distribution, the normal distribution, and the central limit theorem. 

3. Demonstrate an understanding of statistical inference.

A. Compare and contrast sampling techniques.
B. Use correlation and regression to make predictions.
C. Plot points and intervals on a number line as it applies to confidence intervals and z score comparison.
D. Represent an inequality as an interval on a number line as it applies to confidence intervals and the comparison of probabilities.
E. 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.
F. Calculate confidence intervals to estimate population means and proportions.
G. Evaluate algebraic expressions and solve linear equations of one variable as it would relate to correlation, regression, and minimum sample sizes.
H. Manually perform the steps of a hypothesis test for a claim about the population mean.
I. Order decimal numbers as it applies to hypothesis testing conclusions (p-value to level of significance and comparison of critical value to test statistic).
J. Convert between fractions, decimals, and precents as it applies to hypothesis testing for proportions and computing test statistics.
K. Compute and apply signed number arithmetic for z score, t score, chi-square, and other statistics.
L. Demonstrate an understanding of the significance level of a test and the use of p-values.
M. Determine the appropriate test statistic and make inferences for a variety of models, including single mean (large and small sample), single proportion, two sample means, two proportions, Chi Square, and ANOVA.

4. Communicate an understanding of statistics in writing. 

1. Explain statistical concepts in writing.
2. Interpret statistical results in writing.
3. Write conclusions to statistical investigations.