Question
In: Statistics and Probability
3. The following research studies were conducted as completely randomized designs with a single treatment factor....
3. The following research studies were conducted as completely randomized designs with a single treatment factor. Identify: (1) the treatment factor, (2) the number of treatments, (3) the experimental unit, (4) the sampled population(s), and (5) the response variable (or dependent variable).
(a) Six secondary schools are randomly selected from the Georgetown Schools. Two schools are randomly assigned to each of three assessment methods. Scores for reading are obtained for each school at the end of the school year.
(b) The amount of lead is measured in the exhaust emissions of two new BMW E series, two new Toyota Premio and two new Nissan Xtrail. The autos were randomly selected from a single day's production run at each of the three auto factories where the autos were manufactured.
Solutions
orchestra answered 1 year agoRelated Solutions
A pharmaceutical manufacturer wants to investigate the bioactivity of a new drug. A completely randomized single-factor...
A pharmaceutical manufacturer wants to investigate the
bioactivity of a new drug. A completely randomized single-factor
experiment was conducted with three dosage levels, and the
following results were obtained. Use R to run ANOVA to test if the
dosage has some effects or not.
Dosage
Observations
20g
24
28
37
30
30g
37
44
31
35
40g
42
47
52
38
a. Find the test statistic.
b. Find the p-value (Please input a decimal value. Please input
0 or 0.0001...
The following data are from a completely randomized design. Treatment Treatment Treatment A B C 32...
The following data are from a completely randomized design.
Treatment
Treatment
Treatment
A
B
C
32
44
34
30
43
37
30
44
36
26
46
37
32
48
41
Sample mean
30
45
37
Sample variance
6
4
6.5
At the = .05 level of significance, can we reject the null
hypothesis that the means of the three treatments are equal?
Compute the values below (to 1 decimal, if necessary).
Sum of Squares, Treatment
Sum of Squares, Error
Mean...
The following data are from a completely randomized design. Treatment Treatment Treatment A B C 32...
The following data are from a completely randomized design.
Treatment
Treatment
Treatment
A
B
C
32
44
34
30
43
37
30
44
36
26
46
37
32
48
41
Sample mean
30
45
37
Sample variance
6
4
6.5
a. At the
level of significance, can we reject the null hypothesis that
the means of the three treatments are equal?
Compute the values below (to 1 decimal, if necessary).
Sum of Squares, Treatment
Sum of Squares, Error
Mean Squares,...
The following data are from a completely randomized design. Treatment Treatment Treatment A B C 32...
The following data are from a completely randomized design.
Treatment
Treatment
Treatment
A
B
C
32
45
35
30
44
38
30
45
37
26
47
38
32
49
42
Sample mean
30
46
38
Sample
variance
6
4
6.5
A) At the = .05 level of significance, can we reject
the null hypothesis that the means of the three treatments are
equal?
Compute the values below (to 1 decimal, if necessary).
Sum of Squares, Treatment
Sum of Squares, Error
Mean...
In a completely randomized design, 12 experimental units were used for the first treatment, 15 for...
In a completely randomized design, 12 experimental units were
used for the first treatment, 15 for the second treatment, and 20
for the third treatment. Complete the following analysis of
variance (to 2 decimals, if necessary). Round p-value to four
decimal places. If your answer is zero enter "0".
Source of Variation Sum of Squares Degrees of Freedom Mean
Square F p-value Treatments 1,300 Error Total 1,800
At a .05 level of significance, is there a significant
difference between the...
In a completely randomized design, 12 experimental units were used for the first treatment, 15 for...
In a completely randomized design, 12 experimental units were
used for the first treatment, 15 for the second treatment, and 20
for the third treatment. Complete the following analysis of
variance (to 2 decimals, if necessary). Round p-value to
four decimal places. If your answer is zero enter "0".
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Treatments
1,300
Error
Total
2,000
At a .05 level of significance, is there a significant
difference between the...
In a completely randomized design, 11 experimental units were used for the first treatment, 19 for...
In a completely randomized design, 11 experimental units were
used for the first treatment, 19 for the second treatment, and 20
for the third treatment. Complete the following analysis of
variance. (Round your values for MSE and F to two decimal
places, and your p-value to four decimal places.)
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F
p-value
Treatments
1,500
Error
Total
2,100
At a 0.05 level of significance, is there a significant
difference between the...
Describe completely randomized and randomized complete block designs. What are the assumptions underlying the use of...
Describe completely randomized and randomized complete
block designs. What are the assumptions underlying the use of each
experimental design? What is the main advantage of
blocking?
3. In a completely randomized design, 7 experimental units were used for each of the three...
3. In a completely randomized design, 7 experimental
units were used for each of the three levels of the factor.
Source of Variation Sum of Squares Degrees of Freedom Mean Square
F
Between Treatment
Error(within treatment) 432076.5
Total 675643.3
a. Complete the ANOVA table.
b. Find the critical value at the 0.05 level of significance from
the F table for testing whether the population means for the three
levels of the factors are different.
c. Use the critical value approach...
The following data are from a completely randomized design. Treatment A B C 163 141 127...
The following data are from a completely randomized design.
Treatment
A
B
C
163
141
127
142
156
122
166
125
137
145
142
141
149
137
151
165
145
120
Sample
mean
155
141
133
Sample
variance
118.0
102.8
146.0
(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 mean square due to error. (Round your answer to two
decimal places.)...
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