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MANE 6313

Week 3, Module D

Student Learning Outcome

Analyze simple comparative experiments and experiments with a single factor.

Module Learning Outcome

Analyze a one-sample t-test.

Example: One-Sample t-test2

1-sample t-test example

Classical Approach

classical approach

Classical Approach

Rejection Region & Conclusion1

rejection region and conclusion

T-test in R

t-tests in R

t-Test using R

R: example problem

P-value Approach

Example problem p-val;ue

Assumptions

  1. Observations are independent
  2. Observations are sampled from a normal distribution

Assumptions

  1. Montgomery and Runger (2014). Applied Statistics and Probability for Engineers, 6th edition. John Wiley & Sons. ↩

  2. Ostle, Turner, Hicks, and McElrath (1996). Engineering Statistics: The Industrial Experience. Duxbury Press. ↩