(a) Compute the sum of squares between treatments. X (b) Compute the mean square between treatments. 0 (c) Compute the sum of squares due to error. (d) Compute the mean square due to error. (Round your answer to two decimal places.) X
(a) Compute the sum of squares between treatments. X (b) Compute the mean square between treatments. 0 (c) Compute the sum of squares due to error. (d) Compute the mean square due to error. (Round your answer to two decimal places.) 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
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The following data are from a completely randomized design.
Sample
mean
Sample
variance
0
A
162
141
166
144
148
175
156
Treatment
B
141
156
123
143
137
158
143
C
127
122
139
139
149
122
133
186.0 166.8 121.2
(a) Compute the sum of squares between treatments.
X
(b) Compute the mean square between treatments.
X
(c) Compute the sum of squares due to error.
X
(d) Compute the mean square due to error. (Round your answer to two decimal places.)
X
(e) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value
to four decimal places.)

Transcribed Image Text:(e) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value
to four decimal places.)
Source
of Variation
Treatments
Error
Total
Sum
Degrees
of Squares of Freedom
Ho: MA= B = MC
Ha: MA MB MC
Ho: Not all the population means are equal.
Ha HA = MB = AC
(f) At the α = 0.05 level of significance, test whether the means for the three treatments are equal.
State the null and alternative hypotheses.
OHO: MAMB #Mc
H₂: MA= MB = MC
O Ho: At least two of the population means are equal.
H₂: At least two of the population means are different.
Mean
Square
O HOMA = MB = MC
H₂: Not all the population means are equal.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
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State your conclusion.
O Reject Ho. There is not sufficient evidence to conclude that the means for the three treatments are not equal.
O Reject Ho. There is sufficient evidence to conclude that the means for the three treatments are not equal.
O Do not reject Ho. There is not sufficient evidence to conclude that the means for the three treatments are not
equal.
F
O Do not reject Ho. There is sufficient evidence to conclude that the means for the three treatments are not
equal.
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