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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.

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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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