MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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  1. As part of an experiment, four fabrics are tested for flammability at the National Bureau of Standards. The following burn times in seconds are recorded after a paper tab is ignited on the hem of a dress made of each fabric.

 

Fabric 1

17.8

16.2

17.5

17.4

15.0

Fabric 2

11.2

11.4

15.8

10.0

10.4

Fabric 3

11.8

11.0

10.0

9.2

 

Fabric 4

14.9

10.8

12.8

10.7

 

Pooled StDev = 1.693

Complete each of the following bulleted parts for this problem.

  • Sum of Squares for Groups (SSG) is the measure of variability among groups.  Calculate SSG.

 

  • Sum of Squares Error (SSE) is the measure of variability within groups.  Use the formula to calculate it.

 

  • Fill in the following ANOVA table for this problem.

 

Source

DF

SS

MS

F

Group

 

 

 

 

Error

 

 

 

 

Total

 

 

 

 

 

  • What are the two assumptions of an ANOVA?

 

  • Check these assumptions. What are you using to check each assumption?

  

  • State the ANOVA hypotheses.

 

  • Give the value of the test statistic.

 

  • Given HO is true, what is the distribution of the test statistic?

 

  • What is the p-value?

 

  • Make a decision at the 0.05 significance level.

 

  • Make a conclusion in terms of the problem. 
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