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Mansfield University... Developing Tomorrow's Leaders Mathematics - Course Goals, Objectives, and Outcomes



MA 3314 Applied Probability & Statistics


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:

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

Course Outcomes: Students will be able to

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