Problem5 (Use the Formula sheet and the Tables to answer this question, You should not use Mega-Stat) To test the claim that there is significant difference in the means of the lengths of three types of bridges in the United States The output below represents the lengths in feet of three types of bridges. One factor ANOVA Mean n Std. Dev 620.5 12 73.80 Simple truss 610.2 12 148.69 Segmented concrete 477.8 12 72.67 Continuous plate 569.5 36 121.08 Total ANOVA table Source SS df MS F p-value Treatment 151,890.67 2 --------- ------- .0031 Error 361,184.33 ----- 10,944.980 Total 513,075.00 35 Tukey simultaneous comparison t-values (d.f.= 33) Continuous plate Segmented concrete Simple truss 477.8 610.2 620.5 Continuous plate 477.8 Segmented concrete 610.2 -------. Simple truss 620.5 ------- -------- critical values for experimentwise error rate: 0.05 2.46 0.01 3.13 Use the above output to solve the following questions: Complete the ANOVA table Write the null Ho and alternative hypotheses H1 At a = 01, test the claim that there is significant difference in the 3 means of the lengths of the types of bridges.( don’t check the assumptions) Complete the table of Tukey simultaneous comparison t-values Use the Tukey test to find which pairs of means are significantly different.? at a = 0.01

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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Problem5 (Use the Formula sheet and the Tables to answer this question, You should not use Mega-Stat)

To test the claim that there is significant difference in the means of the lengths of three types of bridges in the United States

The output below represents the lengths in feet of three types of bridges.


One factor ANOVA

	Mean	n	Std. Dev
	620.5	12	73.80	Simple truss
	610.2	12	148.69	Segmented concrete
	477.8	12	72.67	Continuous plate
	569.5	36	121.08	Total

ANOVA table
Source	SS	df	MS	F	p-value
Treatment	151,890.67	2	---------	-------	.0031
Error	361,184.33	-----	10,944.980
Total	513,075.00	35


Tukey simultaneous comparison t-values (d.f.= 33)
		Continuous plate	Segmented concrete	Simple truss
		477.8	610.2	620.5
Continuous plate	477.8
Segmented concrete	610.2	-------.
Simple truss	620.5	-------	--------

critical values for experimentwise error rate:
		0.05	2.46
		0.01	3.13

Use the above output to solve the following questions:

Complete the ANOVA table

Write the null Ho and alternative hypotheses H1

At a = 01, test the claim that there is significant difference in the 3 means of the lengths of the types of bridges.( don’t check the assumptions)

Complete the table of Tukey simultaneous comparison t-values

Use the Tukey test to find which pairs of means are significantly different.? at a = 0.01

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