The following data are from a completely randomized design. Sample mean A B C 143 127 161 141 166 Treatments 145 Error 148 Total 169 155 Treatment 156 123 139 141 137 158 OH HAHB "c H₂HAHB HC 122 143 Sample 139.6 166.8 120.8 variance (a) Compute the sum of squares between treatments. оно на ниви HC H₂ HA HB Hc 141 (b) Compute the mean square between treatments. 150 (c) Compute the sum of squares due to error. 125 (d) Compute the mean square due to error. (Round your answer to two decimal places.) 134 (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 Sum Degrees Mean of Variation of Squares of Freedom Square (f) At the a= 0.05 level of significance, test whether the means for the three treatments are equal. State the null and alternative hypotheses. OH: At least two of the population means are equal. H: At least two of the population means are different. OH: Not all the population means are equal. оно HHAHBHc F ⒸHO: HAHB = "c 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= p-value State your conclusion. 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 sufficient evidence to conclude that the means for the three treatments are not equal. O Reject Ho. There is not 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.
The following data are from a completely randomized design. Sample mean A B C 143 127 161 141 166 Treatments 145 Error 148 Total 169 155 Treatment 156 123 139 141 137 158 OH HAHB "c H₂HAHB HC 122 143 Sample 139.6 166.8 120.8 variance (a) Compute the sum of squares between treatments. оно на ниви HC H₂ HA HB Hc 141 (b) Compute the mean square between treatments. 150 (c) Compute the sum of squares due to error. 125 (d) Compute the mean square due to error. (Round your answer to two decimal places.) 134 (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 Sum Degrees Mean of Variation of Squares of Freedom Square (f) At the a= 0.05 level of significance, test whether the means for the three treatments are equal. State the null and alternative hypotheses. OH: At least two of the population means are equal. H: At least two of the population means are different. OH: Not all the population means are equal. оно HHAHBHc F ⒸHO: HAHB = "c 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= p-value State your conclusion. 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 sufficient evidence to conclude that the means for the three treatments are not equal. O Reject Ho. There is not 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.
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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Transcribed Image Text:The following data are from a completely randomized design.
Sample
mean
Sample
variance
A
161
141
Treatments
O
166
145
Error
148
Total
155
Treatment
143
156
123
169 158
141
137
143
HO HA= HB = HC
H₂HA MB MC
127
122
· Ho: MAHB #HC
=
H₂: MAHB Hc
139
(a) Compute the sum of squares between treatments.
141
(b) Compute the mean square between treatments.
150
(c) Compute the sum of squares due to error.
125
139.6 166.8 120.8
(d) Compute the mean square due to error. (Round your answer to two decimal places.)
134
(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
Sum
Degrees
Mean
of Variation of Squares of Freedom Square
(f) At the a= 0.05 level of significance, test whether the means for the three treatments are equal.
State the null and alternative hypotheses.
OH: At least two of the population means are equal.
H: At least two of the population means are different.
a
OH: Not all the population means are equal.
HHAHBHC
=
F
O HO HA HB HC
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=
p-value
State your conclusion.
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 sufficient evidence to conclude that the means for the three treatments are not equal.
O Reject Ho. There is not 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.
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