Running head: Homework Problem 12.7 and 12.19 Analysis of Variance
La’Mesha Rhodes
Southern New Hampshire
Professor MigdadSelimovi?
July 23, 2017 1 Running head: Homework Problem 12.7 and 12.19 2 Skill Development
12-7. Examine the three-sample obtained independently from three populations:
Item
1
2
3
4
5
6 Group 1
14
13
12
15
16 Group 2
17
16
16
18 Group 3
17
14
15
16
14
16 a. Conduct a one-way analysis of variance on the data. Use alpha = 0.05
b. If warrented, used the Tukey-Kramer procedure to determine which populations have
different means. Use an experiment-wide error rate of 0.05.
Solution
Computer Database Exercises
12-19. The following data were collected for a randomized block analysis of variance design
with four populations and eight blocks: Block 1
Block 2
Block 3
Block 4
Block 5
Block 6
Block 7
Block 8 Group 1
56
34
50
19
33
74
33
56 Group 2
44
30
41
17
30
72
24
44 Group 3
57
38
48
21
35
78
27
56 Group 4
84
50
52
30
38
79
33
71 a. State the appropriate null and alternative hypotheses for the treatments and determine
whether blocking is necessary.
b. Construct the appropriate ANOVA table. Running head: Homework Problem 12.7 and 12.19
c. Using a significance level equal to 0.05, can you conclude the blocking was necessary in
this case?
d. Based on the data and a significance level equal to 0.05, is there a difference in
population means for the four groups? Use a p-value approach.
e. If you found that a difference exists in part d, use the LSD approach to determine which
populations have different means. 3 Running head: Homework Problem 12.7 and 12.19
References
Groebner, D.F., Shannon, P.W., & Fry, P.C. (2014). Business Statistics: A Decision-Making
Approach. 9th ed. Pearson Publishing. Upper Saddle River: New Jersey. 4

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