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Normal distributions
Two-sample μ and π
Two-sample σ
ANOVA
Linear regression

Chapter 10:
"Design of Experiments and Analysis of Variance"

We will perform ANOVA on the following data, which we pretend to be random samples drawn from four different populations.  Each of these samples represents a different treatment.

Sample 1 Sample 2 Sample 3 Sample 4
6.33 6.26 6.44 6.26
6.26 6.36 6.38 6.23
6.31 6.23 6.58 6.19
6.29 6.27 6.54 6.21
6.40 6.19 6.56  
  6.50 6.34  
  6.19 6.58  
  6.22    

We are testing the following hypotheses:

Step 1 (enter this data into four lists in the calculator):

Step 2:

Step 3 (results):

Hence, with such a small p-value barely more than 0.02% we can confidently reject the null hypothesis and conclude that a significant difference does exist between at least two of the treatments.

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[Normal distributions] [Two-sample μ and π] [Two-sample σ] [ANOVA] [Linear regression]

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University of Southern Maine

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