Credits:

Semesters Offered

Learning Objectives

Textbook 

Statistics for Engineers and Scientists by Navidi, 4th edition, McGraw-Hill, 2014.

Other supplemental materials:

  • Applied Statistics and Probability for Engineers, Montgomery and Runger, Wiley.
  • Probability and Statistics for Engineers and Scientists, Walpole et al., Prentice Hall.
  • Introduction to Probability and Statistics for Engineers and Scientists, Ross, Elsevier.

Class/Laboratory Schedule 

  • Two 75 minute lectures each week

 

Topics Covered

  • Week 1:  Course info; use of statistics in engineering; sample mean and variance.
  • Week 2:  Event, sample space, probability, trees; counting rules, permutations, combinations, Venn diagrams; addition and multiplication rules; conditional probability; Bayes's rule.
  • Week 3:  Random variables, distributions, expected value and variance; functions of random variables; error-propagation; numerical experimentation.
  • Week 4:  Functions of many random variables; design-under-uncertainty; normal, binomial, hypergeometric distributions.
  • Week 5:  Poisson and exponential distributions, sampling, estimators, the Central-Limit theorem.
  • Week 6:  Review and problem solving.
  • Week 7:  Confidence intervals; estimation using numerical simulation.
  • Week 8:  Confidence intervals (standard error, T-dist, difference of means, paired observations, proportion, variance).
  • Week 9:  Concept of hypothesis testing, P-value (single mean, proportion, type I and II errors), hypothesis testing (variance, two means, pairs).
  • Week 10:  Hypothesis testing (goodness-of-t, independence, goodness-of-t).
  • Week 11:  Review and problem solving.
  • Week 12:  Analysis-of-variance (ANOVA).
  • Week 13:  Linear Regression, Multiple Linear Regression.
  • Week 14:  Design-of-experiments (DOE).
  • Week 15: Review and problem solving.

 

Learning Outcomes

  • an ability to apply knowledge of mathematics, science, and engineering
  • an ability to design and conduct experiments, as well as to analyze and interpret data
  • an ability to identify, formulate, and solve engineering problems
  • an understanding of professional and ethical responsibility
  • an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice

Additional Course Information

Textbook 

Statistics for Engineers and Scientists by Navidi, 4th edition, McGraw-Hill, 2014.

Other supplemental materials:

  • Applied Statistics and Probability for Engineers, Montgomery and Runger, Wiley.
  • Probability and Statistics for Engineers and Scientists, Walpole et al., Prentice Hall.
  • Introduction to Probability and Statistics for Engineers and Scientists, Ross, Elsevier.