The student will be able to demonstrate, basic knowledge of statistical terms.
The student will be able to describe, explore and compare data by:
- Constructing and interpreting frequency tables and graphs such as bar graphs, pie charts and stem and leaf plots.
- Computing and interpreting the measures of centrality: the mean, median, mode and midrange.
- Computing and interpreting the measures of dispersion: The range, variance and standard deviation.
The student will be able to apply the measures of position by:
- Computing z-scores.
- Applying the Empirical Rule to the Normal Distribution.
- Applying the Chebyshev’s Rule to the Non-Normal (or unknown) Distributions.
The student will be able to apply the counting principles by:
- Defining the Fundamental Counting Principle.
- Computing the possible outcomes of compound events.
- Computing Combinations and Permutations.
Competency 5: The student will have a working knowledge of basic probability theory, including being able to:
- Describe a sample space and an event.
- Calculate probabilities of simple, compound and conditional events.
With respect to random variables, the student will be able to:
- Distinguish between discrete and continuous random variables.
- Construct a probability distribution for a discrete random variable and be able to compute its mean and standard deviation.
- Compute probabilities for random variables having a binomial distribution.
- Compute probabilities for random variables having a normal distribution.
- Apply the Central Limit Theorem.
- Approximate the Binomial Probability using the Normal Distribution
The student will be able to construct confidence intervals, relative to:
- A single mean with population standard deviation known and unknown.
- A single proportion.
- The difference between two means.
The student will be able to apply hypothesis test procedures by:
- Identifying Type I and Type II errors.
- Identifying and interpreting p-values.
- Testing a single mean for large or small samples.
- Testing the difference between two means.
- Testing a single proportion.
The student will have a basic understanding of how to deal with bivariate data, including:
- Being able to construct and interpret a scatter-plot.
- Being able to compute and interpret the linear correlation coefficient.