Develop the analysis of variance computations for the following completely randomized design. At a = 0.05, is there a significant difference between the treatment means? A 136 121 113 107 130 114 129 94 118 Treatment B 108 115 OH₂H₁ H₂ HC H₁₂ : HA=HB = HC 126 103 108 108 97 113 103 89 с 107 91 82 84 101 88 117 109 120 x₁ 5,² 190.86 102.22 186.67 98 110 100 State the null and alternative hypotheses. OH: Not all the population means are equal. H₂ HA=H₂=HC | H₁²H₁ = H₂ = #c ý khi đi không đi the OH: At least two of the population means are equal. H₂: At least two of the population means are different. ⒸH₂ HA = HB = HC H: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) 4.75 X Find the p-value. (Round your answer to four decimal places.) p-value = 0.0175 x

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Find the value of the test statistic. (Round your answer to two decimal places.)
X
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
O Do not reject H. There is not sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.
Reject H₂.
.There is sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.
Reject H. There is not sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.
Do not reject H. There is sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.
(b) Use Fisher's LSD procedure to determine where the differences occur. Use a = 0.05.
Find the value of LSD for each pair of divisions. (Round your answers to two decimal places.)
North and South
LSD =
North and West
LSD =
South and West
LSD =
Find the pairwise absolute difference between sample attendance means for each pair of divisions. (Round your answers to the nearest integer.)
-=[
=
-=[
Which attendance means differ significantly? (Select all that apply.)
There is a significant difference in mean attendance between the North division and the South division.
There is a significant difference in mean attendance between the North division and the West division.
There is a significant difference in mean attendance between the South division and the West division.
There are no significant differences.
Transcribed Image Text:Find the value of the test statistic. (Round your answer to two decimal places.) X Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject H. There is not sufficient evidence to conclude that the mean attendance values are not equal for the three divisions. Reject H₂. .There is sufficient evidence to conclude that the mean attendance values are not equal for the three divisions. Reject H. There is not sufficient evidence to conclude that the mean attendance values are not equal for the three divisions. Do not reject H. There is sufficient evidence to conclude that the mean attendance values are not equal for the three divisions. (b) Use Fisher's LSD procedure to determine where the differences occur. Use a = 0.05. Find the value of LSD for each pair of divisions. (Round your answers to two decimal places.) North and South LSD = North and West LSD = South and West LSD = Find the pairwise absolute difference between sample attendance means for each pair of divisions. (Round your answers to the nearest integer.) -=[ = -=[ Which attendance means differ significantly? (Select all that apply.) There is a significant difference in mean attendance between the North division and the South division. There is a significant difference in mean attendance between the North division and the West division. There is a significant difference in mean attendance between the South division and the West division. There are no significant differences.
Develop the analysis of variance computations for the following completely randomized design. At a = 0.05, is there a significant difference between the treatment means?
xj
136
A
121
113
107
130
114
129
94
118
|OH₁₂ H₁₂ = H₂ = Hc
H₂HA #HB#HC
Treatment
B
108
HO: HA #MB # HC
H₂: HA=HB = HC
115
126
103
108
108
97
113
103
89
107
с
91
82
84
101
88
117
109
120
98
110
5₁²
State the null and alternative hypotheses.
OH: Not all the population means are equal.
H₂ HA=HB = HC
100
190.86 102.22 186.67
OH: At least two of the population means are equal.
H₂: At least two of the population means are different.
ⒸH₂ HA HB = HC
H: Not all the population means are equal.
Find the value of the test statistic. (Round your answer to two decimal places.)
4.75 X
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0175
X
Transcribed Image Text:Develop the analysis of variance computations for the following completely randomized design. At a = 0.05, is there a significant difference between the treatment means? xj 136 A 121 113 107 130 114 129 94 118 |OH₁₂ H₁₂ = H₂ = Hc H₂HA #HB#HC Treatment B 108 HO: HA #MB # HC H₂: HA=HB = HC 115 126 103 108 108 97 113 103 89 107 с 91 82 84 101 88 117 109 120 98 110 5₁² State the null and alternative hypotheses. OH: Not all the population means are equal. H₂ HA=HB = HC 100 190.86 102.22 186.67 OH: At least two of the population means are equal. H₂: At least two of the population means are different. ⒸH₂ HA HB = HC H: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) 4.75 X Find the p-value. (Round your answer to four decimal places.) p-value = 0.0175 X
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 16 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman