Question
In: Statistics and Probability
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 statistic. (Round your answer to two decimal places.)___
Find the p-value. (Round your answer to three decimal places.)
p-value = ___
An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow.
| Analyzer | |||
|---|---|---|---|
| Computerized | Electronic | ||
| Car | Compact | 51 | 43 |
| Intermediate | 55 | 44 | |
| Full-sized | 62 | 45 | |
Use α = 0.05 to test for any significant differences.
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 = ___
Solutions
orchestra answered 2 years agoRelated Solutions
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...
A 2^3 design is confounded in 4 blocks of size 2. The principal block contains treatments...
A 2^3 design is confounded in 4 blocks of size 2. The principal
block contains treatments (1) and abc. Another block contains a.
What is the second element of that block. (b, c, ab, ac, or
bc?)
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.
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. ...
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....
i.Briefly describe the three methods of CRD( completely randomized design) , RCBD(randomized complete block design), FD(factorial design)....
i.Briefly describe the three methods of CRD(
completely randomized design) , RCBD(randomized complete block
design), FD(factorial design). You can present this part using
Table or Figure. ii.What are the similarities and differences
between CRD( completely randomized design , RCBD(randomized
complete block design), FD(factorial design)? You can present
this part using Table or Figure.
Data is collected from a completed randomized design for comparing two treatments A and B: A:...
Data is collected from a completed randomized design for
comparing two treatments A and B:
A: 25, 24, 22
B: 27, 30, 29
The experimenter is interested in finding out if treatment B is
better than treatment A. Find the p-values using both the
randomization test and the t-test and then make a conclusion (alpha
= 0.05)
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...
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