Question
In: Statistics and Probability
These data are observations collected using a completely randomized design. Sample 1 Sample 2 Sample 3...
These data are observations collected using a completely randomized design.
| Sample 1 | Sample 2 | Sample 3 |
| 4 | 4 | 2 |
| 2 | 3 | 0 |
| 4 | 5 | 2 |
| 3 | 2 | 1 |
| 2 | 6 |
(a) Calculate CM and Total SS. (Round your answer for CM to six decimal places and your Total SS to four decimal places.
(b) Calculate SST and MST. (Round your answers to four decimal places.)
(c) Calculate SSE and MSE. (Round your answers to four decimal places.)
(d) Construct an ANOVA table for the data. (Round your answer for F to two decimal places. Round your answers for SS and MS to four decimal places.)
| Source | df | SS | MS | F |
| Treatments | ||||
| Error | ||||
| Total |
Solutions
orchestra answered 1 year agoRelated Solutions
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...
True or False 1. In a completely randomized experimental design with 10 treatments, if the sample...
True or False
1. In a completely randomized experimental design with 10
treatments, if the sample size (n) is 40 and α = 0.05, then tukey’s
critical value is qα = 4.82.
2. The Chi-Square distribution is a right-skewed distribution
that is dependent on two degrees of freedom (the numerator df and
the denominator df).
The following data are from a completely randomized design. Treatment Observation A B C 1 162...
The following data are from a completely randomized design.
Treatment
Observation
A
B
C
1
162
142
126
2
142
156
122
3
165
124
138
4
145
142
140
5
148
136
150
6
174
152
128
Sample Mean
156
142
134
Sample Variance
164.4
131.2
110.4
Compute the sum of squares between treatments.
Compute the mean square between treatment
Compute the sum of squares due to error.
Compute the mean square due to error.
Set up the ANOVA...
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:...
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