**Course Goals: **The course will develop the basics of descriptive and inferential statistics and probability, including frequency distributions, measures of location, variation, expected value, probability distributions, confidence intervals, and hypothesis testing.

**Course Objectives:**

- Explain various descriptive statistics including the mean, median, mode, range, and standard deviation for a given data set
- Explain the construction and interpretation of frequency histograms
- Explain simple unconditional probabilities and conditional probabilities
- Define the probability mass function of a discrete random variable and the binomial distribution
- Define the probability density function of a continuous random variable and the normal distribution
- Define the expectation of a function of a random variable
- Define critical values
- Explain approximating probabilities using the Central Limit Theorem
- Derive confidence intervals for population parameters
- Derive hypothesis tests for population parameters
- Derive the Chi - Square Test of Independence for a contingency table
- Derive the linear regression parameter estimates and correlation coefficient

**Course Outcomes: **Students will be able to

- calculate the mean, median, mode, range, and standard deviation for a given data set
- create a frequency histogram for a given data set
- calculate a simple unconditional probability and conditional probability
- calculate a probability from a probability mass function of a discrete random variable and a binomial distribution
- calculate a probability from a probability density function of a continuous random variable and a and normal distribution
- calculate an expectation of a random variable for a given distribution
- calculate a critical value from a normal, t, chi - square, and f distribution
- calculate a probability using the Central Limit Theorem
- calculate an appropriate confidence interval for a population parameter for a given data set
- perform an appropriate hypothesis tests for a population parameter for a given data set
- perform a Chi - Square Test of Independence for a contingency table
- calculate a linear regression for a given data set