Question
In: Statistics and Probability
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 treatments?
State the null and alternative hypotheses.
H0: μ1 =
μ2 = μ3
Ha: Not all the population means are
equal.H0: At least two of the population means
are equal.
Ha: At least two of the population means are
different. H0: Not all
the population means are equal.
Ha: μ1 =
μ2 =
μ3H0:
μ1 = μ2 =
μ3
Ha: μ1 ≠
μ2 ≠
μ3H0:
μ1 ≠ μ2 ≠
μ3
Ha: μ1 =
μ2 = μ3
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.
Reject H0. There is sufficient evidence to conclude that the means for the three treatments are not equal.Do not reject H0. There is sufficient evidence to conclude that the means for the three treatments are not equal. Reject H0. There is not sufficient evidence to conclude that the means for the three treatments are not equal.Do not reject H0. There is not sufficient evidence to conclude that the means for the three treatments are not equal.
Solutions
orchestra answered 2 years agoRelated Solutions
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, six experimental units were used for each of the three levels...
In a completely randomized design, six experimental units were
used for each of the three levels of the factor. (2 points each;
6 points total)
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
Treatment
Error
432076.5
Total
675643.3
Complete the ANOVA table.
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.
Use the critical value approach...
In a completely randomized design, seven experimental units were used for each of the five levels...
In a completely randomized design, seven experimental units were
used for each of the five levels of the factor. Complete the
following ANOVA table (to 2 decimals, if necessary). If your answer
is zero enter "0".
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Treatments
Error
Total
a. What hypotheses are implied in this
problem
: - Select your answer -Not all five treatment means are
equalAll five treatment means are equalItem 9
: -...
In a completely randomized design, six experimental units were used for each of the three levels...
In a completely randomized design, six experimental units were
used for each of the three levels of the factor. (2 points each;
6 points total)
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
Treatment
Error
432076.5
Total
675643.3
Complete the ANOVA table.
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.
Use the critical value approach...
7) In a completely randomized design, 4 experimental units were used for each of the seven...
7) In a completely randomized design, 4 experimental units were
used for each of the seven levels of the factor. Source of
Variation Sum of Squares Degrees of Freedom Mean Square F Treatment
385.12 Error Total 1563.71
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
Treatment
385.12
Error
Total
1563.71
i. Complete the ANOVA table.
ii. Find the F critical, and use the critical value approach at
α = 0.05 to test whether the population means...
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...
Canada Question 4 Marks) In a completely randomized design, 7 experimental units were used for each...
Canada Question 4 Marks) In a completely randomized design, 7
experimental units were used for each of the three levels of the
factor. Source of Variation Between Treatment Within Treatment
Total Sum of Squares 60 76 a. Complete the ANOVA table. b. Degrees
of Freedom 24 Find the critical value at the 0.05 level of
significance from the F table and test whether the population means
are different.
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,...
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