In this course we will present an overview of statistics, including descriptive statistics, elementary probability, probability distributions, estimation, hypothesis testing, correlation, and linear regression.
Upon the completion of this course, the student should be able to:
- Distinguish between a population and a sample and between a parameter and a statistic.
- Identify the level of measurement (nominal, ordinal, interval, and ratio) of a set of data.
- Recognize the importance of good sampling methods, as well as the serious deficiency of
poor sampling methods.
- Summarize data by constructing a frequency table or a relative frequency table.
- Visually display the nature of the distribution by constructing a histogram, dot plot, stem-
and-leaf plot, pie chart, or Pareto chart.
- Calculate measures of central tendency by finding the mean, median, mode, and mid range.
- Calculate measures of variation by finding the standard deviation, variance, and range.
- Compare individual scores by using z scores, quartiles, deciles, or percentiles.
- Investigate and explore the spread of data, the center of the data, and the range of values by constructing a box-plot.
- Calculate probabilities and odds using the appropriate rules and computer simulations.
- Work with random variables and probability distributions.
- Calculate probabilities with binomial distributions and normal distributions.
- Estimate a population mean and proportion using confidence intervals.
- Perform hypothesis testing on claims about means and proportions with one sample and two samples.
- Test the strength of a linear correlation between two variables and come up with the equation of a regression line.
- Use appropriate technology to construct statistical tables, charts and graphs.
- Calculate descriptive and inferential statistics using an appropriate statistical software package.