Question
In: Statistics and Probability
Develop the analysis of variance computations for the following completely randomized design. At α = 0.05,...
Develop the analysis of variance computations for the following completely randomized design. At α = 0.05, is there a significant difference between the treatment means?
| Treatment | |||
|---|---|---|---|
| A | B | C | |
| 135 | 106 | 93 | |
| 120 | 114 | 82 | |
| 114 | 124 | 84 | |
| 106 | 104 | 102 | |
| 132 | 107 | 90 | |
| 115 | 108 | 117 | |
| 128 | 96 | 110 | |
| 102 | 115 | 120 | |
| 104 | 99 | ||
| 82 | 93 | ||
|
xj |
119 | 106 | 99 |
|
sj2 |
143.71 | 128.67 | 173.56 |
State the null and alternative hypotheses.
H0: Not all the population means are
equal.
Ha: μA =
μB =
μCH0:
μA ≠ μB ≠
μC
Ha: μA =
μB =
μC H0:
At least two of the population means are equal.
Ha: At least two of the population means are
different.H0: μA =
μB = μC
Ha: μA ≠
μB ≠
μCH0:
μA = μB =
μC
Ha: 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 =
State your conclusion.
Do not reject H0. There is not sufficient evidence to conclude that the means of the three treatments are not equal.Reject H0. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject H0. There is sufficient evidence to conclude that the means of the three treatments are not equal.Reject H0. There is sufficient evidence to conclude that the means of the three treatments are not equal.
Solutions
Expert Solution
The statistical software output for this problem is :
H0: At least two of the population means are
equal.
Ha: At least two of the population means are
different.
Test statistics = 6.04
P-value = 0.0072
Reject H0. There is sufficient evidence to conclude that the means of the three
treatments are not equal.
orchestra answered 2 years agoRelated Solutions
Develop the analysis of variance computations for the following completely randomized design. At α = 0.05,...
Develop the analysis of variance computations for the following
completely randomized design. At α = 0.05, is there a
significant difference between the treatment means?
Treatment
A
B
C
136
108
92
119
115
81
112
124
85
107
103
102
131
107
88
113
108
118
129
96
111
113
115
120
103
97
81
106
xj
120
106
100
sj2
112.86
137.56
187.56
State the null and alternative hypotheses.
H0: μA =
μB = μC
Ha: μA ≠...
Develop the analysis of variance computations for the following completely randomized design. At α = 0.05, is there a significant difference between the treatment means?
You may need to use the appropriate technology to answer this
question.
Develop the analysis of variance computations for the following
completely randomized design. At α = 0.05, is there a
significant difference between the treatment means?
Treatment
A
B
C
137
106
92
120
115
83
113
124
84
106
104
102
130
108
89
114
110
117
130
97
111
102
113
119
105
98
88
105
xj
119
107
100
sj2
155.14
97.11
170.44
State the null...
The following data are from a completely randomized design. In the following calculations, use α =...
The following data are from a completely randomized design. In
the following calculations, use α = 0.05 (level of
significance)
Treatment 1
Treatment 2
Treatment 3
63
82
69
47
72
54
54
88
61
40
66
48
sample mean
51
77
58
sample variance
96.67
97.34
81.99
a. Use analysis of variance to test for a significant difference
among the means of the three treatments.
b. Use Fisher’s LSD procedure to determine which means are
different.
The following data are from a completely randomized design. In the following calculations, use α =...
The following data are from a completely randomized design. In
the following calculations, use
α = 0.05.
Treatment
1
Treatment
2
Treatment
3
64
81
68
48
71
55
53
88
60
43
64
49
xj
52
76
58
sj2
80.67
112.67
64.67
(a)Use analysis of variance to test for a significant difference
among the means of the three treatments.
State the null and alternative hypotheses.
H0: At least two of the population means are
equal.
Ha: At least two...
The following data are from a completely randomized design. In the following calculations, use α =...
The following data are from a completely randomized design. In
the following calculations, use
α = 0.05.
Treatment
1
Treatment
2
Treatment
3
62
83
68
46
71
55
53
88
62
39
70
47
xj
50
78
58
sj2
96.67
79.33
82.00
(a)
Use analysis of variance to test for a significant difference
among the means of the three treatments.
State the null and alternative hypotheses.
H0: At least two of the population means are
equal.
Ha: At least...
The following data are from a completely randomized design. In the following calculations, use α =...
The following data are from a completely randomized design. In
the following calculations, use
α = 0.05.
Treatment
1
Treatment
2
Treatment
3
64
82
69
48
73
53
55
89
61
37
68
45
xj
51
78
57
sj2
130.00
87.33
106.67
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 = ____
+Use Fisher's LSD procedure to determine which means are
different....
The following data are from a completely randomized design. In the following calculations, use α =...
The following data are from a completely randomized design. In
the following calculations, use
α = 0.05.
Treatment
1
Treatment
2
Treatment
3
63
82
69
46
72
54
53
87
62
46
63
47
xj
52
76
58
sj2
64.67
114.00
91.33
(a)
Use analysis of variance to test for a significant difference
among the means of the three treatments.
State the null and alternative hypotheses.
H0: μ1 =
μ2 = μ3
Ha: Not all the population means are...
The following data are from a completely randomized design. In the following calculations, use α =...
The following data are from a completely randomized design. In
the following calculations, use
α = 0.05.
Treatment
1
Treatment
2
Treatment
3
62
82
69
46
73
53
53
89
61
39
60
45
xj
50
76
57
sj2
96.67
156.67
106.67
(a)
Use analysis of variance to test for a significant difference
among the means of the three treatments.
State the null and alternative hypotheses.
H0: μ1 ≠
μ2 ≠ μ3
Ha: μ1 =
μ2 = μ3
H0:...
The following data are from a completely randomized design. In the following calculations, use α =...
The following data are from a completely randomized design. In
the following calculations, use
α = 0.05.
Treatment
1
Treatment
2
Treatment
3
64
81
68
48
73
53
53
89
60
43
69
55
xj
52
78
59
sj2
80.67
78.67
44.67
(a) Use analysis of variance to test for a significant
difference among the means of the three treatments.
State the null and alternative hypotheses.
H0: μ1 ≠
μ2 ≠ μ3
Ha: μ1 =
μ2 = μ3
H0:...
The following data are from a completely randomized design.
You may need to use the appropriate technology to answer this
question.
The following data are from a completely randomized design.
Treatment
A
B
C
162
142
126
142
157
123
166
123
138
144
142
140
148
137
150
168
157
127
Sample
mean
155
143
134
Sample
variance
135.6
166.0
108.4
(a)
Compute the sum of squares between treatments.
(b)
Compute the mean square between treatments.
(c)
Compute the sum of squares due to error.
(d)
Compute the...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- St. Johns River Shipyards' welding machine is 15 years old, fully depreciated, and has no salvage...
- The following information is available for Robstown Corporation for 20Y8: Inventories January 1 December 31 Materials...
- /* Complete the TO DO comments below */ window.onload = function() { /* TODO add a...
- Trevor Price bought 10-year bonds issued by Harvest Foods five years ago for $4,532.35. The bonds...
- How do you represent 5.1 (5 + 1/10) in binary? I know that it is 0101....
- More and more adults are considering commuting to work by bicycle rather than car, but few...
- Please answer these questions Data Processing and Analysis using python. Thank you In statistics, an outlier...
ADVERTISEMENT