You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. Sample mean Sample variance A 161 141 166 144 Treatment 147 B 155 142 156 124 142 137 171 145 141 C 127 121 138 140 150 122 133 158.8 109.6 132.8 (a) Compute the sum of squares between treatments. 2574 x (b) Compute the mean square between treatments. 143 X (c) Compute the sum of squares due to error.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
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O
(d) Compute the mean square due to error. (Round your answer to two decimal places.)
(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 p
Source
of Variation
Degrees
of Freedom
Mean
Square
Treatments
Error
Total
Sum
of Squares
2574
1
O HO HA HB Hc
H: HA HB HC
X
2
16
Hoi HAHB "c
H: Not all the population means are equal.
18
O Ho: Not all the population means are equal.
H₂HAHHC
O Ho: MAHB Hc
H₂HA HB HC
OHO: HA HB HC
Hai HA HB #C
(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.
✔
• HO HA" HB - ис
H: Not all the population means are equal.
O Ho: Not all the population means are equal.
Ha: MAHB Hc
x
Show Transcribed Text
x
(f) At the a= 0.05 level of significance, test whether the means for the three treatments are equar
State the null and alternative hypotheses.
F
O Ho: At least two of the population means are equal.
H: At least two of the population means are different.
p-value
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=
State your conclusion.
O Do not reject Ho. There is sufficient evidence to conclude that the means for the three treatments are not equal.
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.
O Reject Ho. There is not sufficient evidence to conclude that the means for the three treatments are not equal.
Transcribed Image Text:O (d) Compute the mean square due to error. (Round your answer to two decimal places.) (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 p Source of Variation Degrees of Freedom Mean Square Treatments Error Total Sum of Squares 2574 1 O HO HA HB Hc H: HA HB HC X 2 16 Hoi HAHB "c H: Not all the population means are equal. 18 O Ho: Not all the population means are equal. H₂HAHHC O Ho: MAHB Hc H₂HA HB HC OHO: HA HB HC Hai HA HB #C (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. ✔ • HO HA" HB - ис H: Not all the population means are equal. O Ho: Not all the population means are equal. Ha: MAHB Hc x Show Transcribed Text x (f) At the a= 0.05 level of significance, test whether the means for the three treatments are equar State the null and alternative hypotheses. F O Ho: At least two of the population means are equal. H: At least two of the population means are different. p-value 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= State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that the means for the three treatments are not equal. 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. O Reject Ho. There is not sufficient evidence to conclude that the means for the three treatments are not equal.
You may need to use the appropriate technology to answer this question.
The following data are from a completely randomized design.
Sample
mean
Sample
variance
A
161
141
166
144
147
171
Treatment
155
B
142
156
142
137
124 138
145
C
141
127
121
140
150
122
133
158.8 109.6 132.8
(a) Compute the sum of squares between treatments.
2574
X
(b) Compute the mean square between treatments.
143
X
(c) Compute the sum of squares due to error.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. Sample mean Sample variance A 161 141 166 144 147 171 Treatment 155 B 142 156 142 137 124 138 145 C 141 127 121 140 150 122 133 158.8 109.6 132.8 (a) Compute the sum of squares between treatments. 2574 X (b) Compute the mean square between treatments. 143 X (c) Compute the sum of squares due to error.
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