Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. O Hoi HA = HB = Hc Hi HA # HB # Hc O Ho: At least two of the population means are equal. : At least two of the population means are different. H O Hoi HA = HB = HC H: Not all the population means are equal. O Ho: Not all the population means are equal. Hgi HA = HB = Hc O Ho: HA# HB # HC Hgi HA = HB = HC Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject Ho: There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Reject H,. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject H. There is sufficient evidence to conclude that the means of the three treatments are not equal. Reject H There is not sufficient evidence to conclude that the means of the three treatments are pot egual

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table.
Treatments
A
B
1
10
2
12
6
Blocks
3
18
16
14
4
20
18
18
8
7
8
Use a = 0.05 to test for any significant differences.
State the null and alternative hypotheses.
O Ho: HA = HB = HC
Ha: HA# HB # Hc
O Ho: At least two of the population means are equal.
H.: At least two of the population means are different.
O Ho: HA = HB = "C
H.: Not all the population means are equal.
O Ho: Not all the population means are equal.
Ha: HA = HB = HC
O Ho: HA + HB * Hc
H: HA = HB = Hc
Find the value of the test statistic. (Round your answer to two decimal places.)
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 means of the three treatments are not equal.
O Reject H.. There is sufficient evidence to conclude that the means of the three treatments are not equal.
O Do not reject H.. There is sufficient evidence to conclude that the means of the three treatments are not equal.
O Reject H. There is not sufficient evidence to conclude that the means of the three treatments are not equal.
Transcribed Image Text:Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatments A B 1 10 2 12 6 Blocks 3 18 16 14 4 20 18 18 8 7 8 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. O Ho: HA = HB = HC Ha: HA# HB # Hc O Ho: At least two of the population means are equal. H.: At least two of the population means are different. O Ho: HA = HB = "C H.: Not all the population means are equal. O Ho: Not all the population means are equal. Ha: HA = HB = HC O Ho: HA + HB * Hc H: HA = HB = Hc Find the value of the test statistic. (Round your answer to two decimal places.) 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 means of the three treatments are not equal. O Reject H.. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject H.. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Reject H. There is not sufficient evidence to conclude that the means of the three treatments are not equal.
Expert Solution
Step 1

Applying ANOVA:

Diet A
Diet C
X4
6.8
Diet B
X3
10.9
10.3
9.5
10.3
8.1
5.7
9.7
12.5
11.8
10.6
Diet B
X2
8.7
7.5
9.6
10.1
9.2
10.1
6
9.
2
512.7

X
7.4
- NM
X2
82
9.8
n(X-Xgrande SS=(ni-1)s?
24.000 5.26
0.240 4.92
0.960 3.44
19.440 4.86
44.640 18.4800
SST
X4
11.2
Total

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