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

See similar textbooks

Related questions

Question

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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Anova and Design of Experiments$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions