Question
In: Statistics and Probability
The following data are given for a two-factor ANOVA with two treatments and three blocks. ...
The following data are given for a two-factor ANOVA with two treatments and three blocks.
| Treatment | ||
| Block | 1 | 2 |
| A | 43 | 31 |
| B | 33 | 22 |
| C | 46 | 36 |
Using the 0.05 significance level conduct a test of hypothesis
to determine whether the block or the treatment means
differ.
-
State the null and alternate hypotheses for treatments.
-
State the decision rule for treatments. (Round your answer to 1 decimal place.)
-
State the null and alternate hypotheses for blocks. (Round your answer to 1 decimal place.)
Also, state the decision rule for blocks.
-
d & e. Compute SST, SSB, SS total, and SSE and complete an ANOVA table. (Round your SS, MS values to 3 decimal places and F value to 2 decimal places.)
-
Give your decision regarding the two sets of hypotheses.
Solutions
Expert Solution
Treatment
Block
Alternative Hypothesis, H1: At least one block has a significantly different mean.
The P-value for the treatment is 0.003 and less than 0.05 level of significance. Hence, we can reject the null hypothesis and conclude that the treatment means differ at the 0.05 level of significance.
The P-value for the block is 0.005 and less than 0.05 level of significance. Hence, we can reject the null hypothesis and conclude that the block means differ at the 0.05 level of significance.
orchestra answered 2 years agoRelated Solutions
The following data are given for a two-factor ANOVA with two treatments and three blocks. ...
The following data are given for a two-factor ANOVA with two
treatments and three blocks.
Treatment
Block
1
2
A
46
33
B
30
21
C
46
30
Using the 0.05 significance level conduct a test of hypothesis
to determine whether the block or the treatment means
differ.
State the null and alternate hypotheses for treatments.
State the decision rule for treatments. (Round your
answer to 1 decimal place.)
State the null and alternate hypotheses for blocks....
The following data are given for a two-factor ANOVA with two treatments and three blocks. ...
The following data are given for a two-factor ANOVA with two
treatments and three blocks.
Treatment
Block
1
2
A
43
35
B
31
20
C
40
36
Using the 0.05 significance level conduct a test of hypothesis
to determine whether the block or the treatment means
differ.
State the null and alternate hypotheses for treatments.
State the decision rule for treatments. (Round your
answer to 1 decimal place.)
State the null and alternate hypotheses for blocks....
The following data are given for a two-factor ANOVA with two treatments and three blocks. ...
The following data are given for a two-factor ANOVA with two
treatments and three blocks.
Treatment
Block
1
2
A
43
31
B
33
22
C
46
36
Using the 0.05 significance level conduct a test of hypothesis
to determine whether the block or the treatment means
differ.
State the null and alternate hypotheses for treatments.
State the decision rule for treatments. (Round your
answer to 1 decimal place.)
State the null and alternate hypotheses for blocks....
The following data are given for a two-factor ANOVA with two treatments and three blocks. Treatment...
The following data are given for a two-factor ANOVA with two
treatments and three blocks. Treatment Block 1 2 A 42 32 B 33 20 C
48 39 Using the 0.05 significance level conduct a test of
hypothesis to determine whether the block or the treatment means
differ.
State the null and alternate hypotheses for treatments.
State the decision rule for treatments. (Round your answer to 1
decimal place.)
State the null and alternate hypotheses for blocks. (Round your
answer...
The following data are given for a two-factor ANOVA with two treatments and three blocks. Treatment...
The following data are given for a two-factor ANOVA with two
treatments and three blocks.
Treatment
Block
1
2
A
46
31
B
37
26
C
44
35
Using the 0.05 significance level conduct a test of hypothesis
to determine whether the block or the treatment means differ.
a.
State the null and alternate hypotheses for treatments.
H0
(Click to select)The standard deviations are different.The
means are the same.The standard deviations are the same.The means
are different.
H1
(Click to...
The following data are given for a two-factor ANOVA with two treatments and three blocks. Block...
The following data are given for a two-factor ANOVA with two
treatments and three blocks.
Block 1 2
A 47 30
B 31 29
C 47 36
Using the 0.05 significance level conduct a test of hypothesis
to determine whether the block or the treatment means differ.
State the decision rule for treatments. (Round your answer
to 1 decimal place.)
State the null and alternate hypotheses for blocks.
(Round your answer to 1 decimal place.)
Also, state the decision rule...
The following data was collected for a two -factor ANOVA with three treatments and two blocks....
The following data was collected for a two -factor ANOVA with
three treatments and two blocks.
Treatment
1 2 3
Block
A 8 12 20
B 10 14 18
a) Complete an ANOVA table.
b) State the null and alternative hypotheses for treatments.
c) State the null and alternative hypotheses for the blocks.
d) Using the 0.05 significance level perform the test and
indicate your decision for parts b and c.
1.-The following data were obtained for a randomized block design involving five treatments and three blocks:...
1.-The following data were obtained for a randomized block
design involving five treatments and three blocks: SST = 570, SSTR
= 390, SSBL = 95. Set up the ANOVA table. (Round your value for
F to two decimal places, and your p-value to
three decimal places.)
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F
p-value
Treatments
390
4
97.5
Blocks
95
2
47.5
Error
85
8
10.625
Total
570
14
Find the value of the test...
Question A. The below data correspond to a two-factor ANOVA. (Independent-measures) Using the following data below,...
Question A. The below data correspond to a
two-factor ANOVA. (Independent-measures)
Using the following data below, determine whether the data is
sufficient to conclude that there was a significant difference
between your conditions. Show all of your work, including
all of the steps in your hypothesis test, including a summary
table.
State hypotheses for all 3 questions that should be asked about
this dataset.
Perform all calculations (must show all work to get full
credit!) and construct an ANOVA table....
Apply the techniques of two-way ANOVA to a data sample split into eight treatments with total...
Apply the techniques of two-way ANOVA to a data sample split
into eight treatments with total degrees of freedom, df = 47,
testing at the 2.5% level of significance. The Sum of Squares for
Treatments is 42; the Mean Square for Blocks is 9, and the Mean
Square for Error is 3.
SS
df
MS
F test Stats
Treatments
#1
#5
#9
#12
Blocks
#2
#6
#10
#13
Error
#3
#7
#11
XXXXXXX
Total
#4
#8
XXXXXXX
XXXXXXX
#14: What...
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