Question

A college dean is interested in the performance of students in a
English course. After the final, students are randomly selected
from three different sections of the English course. What can be
conclude with an α of 0.01? The data are below.

section 1 |
section 2 |
section 3 |

84 68 74 65 90 75 64 77 40 78 69 |
90 82 82 77 75 82 81 91 70 90 82 |
94 81 87 82 72 77 81 87 67 86 77 |

**b)** Obtain/compute the appropriate values to make a
decision about *H*_{0}.

critical value = ____________ ; test statistic = ____________

Decision: ---Select--- Reject H0 Fail to reject H0

**c)** Compute the corresponding effect size(s) and
indicate magnitude(s).

η^{2} = ____________ ; ---Select--- na trivial
effect small effect medium effect large effect

**e)** Regardless of the *H*_{0}
decision in **b)**, conduct Tukey's post hoc test for
the following comparisons:

1 vs. 3: difference =____________ ;
significant: ---Select--- Yes No

1 vs. 2: difference = ____________ ;
significant: ---Select--- Yes No

**f)** Regardless of the *H*_{0}
decision in **b)**, conduct Scheffe's post hoc test
for the following comparisons:

2 vs. 3: test statistic =____________ ;
significant: ---Select--- Yes No

1 vs. 2: test statistic = ____________ ;
significant: ---Select--- Yes No

Answer #1

ANOVA | ||||||

Source of Variation | SS | df | MS | F | P-value | F crit |

Between Groups | 772.545 | 2 | 386.273 | 4.288 | 0.0230 | 5.39 |

Within Groups | 2702.182 | 30 | 90.073 | |||

Total | 3474.727 | 32 |

b) critical value=5.39

test stat = 4.288

decision: fail to reject Ho

c) eta square ,effect size = SSbet/SST= 0.2223 (medium)

e)

critical value = q*√(MSE/n)

if absolute difference of means > critical value,means are
significnantly different ,otherwise not

1 vs. 3: difference =____9.727________ ;
significant: ---NO

1 vs. 2: difference = ______10.73______ ;
significant: ---YES

f)

Test statistic, F'= (X̅I -
X̅j)²/(MSE*√(1ni+1/nj))

2 vs. 3: test statistic =_____0.06_______ ;
significant: No

1 vs. 2: test statistic = _____7.027_______ ; significant: YES

A college dean is interested in the performance of students in a
English course. After the final grade, students are randomly
selected from three different sections of the English course. What
can be conclude with an α of 0.01? The data are below.
section 1
section 2
section 3
84
68
74
65
90
75
64
77
40
78
69
90
82
82
77
75
82
81
91
70
90
82
94
81
87
82
72
77
81
87
67...

A college dean is interested in the quiz performance of students
in a English course. After the final exam, students are randomly
selected from three different sections of the English course. What
can be conclude with an α of 0.01? The data are below.
section 1
section 2
section 3
84
68
74
65
41
82
64
77
40
78
69
90
82
82
77
75
82
81
91
70
90
82
94
81
87
82
72
77
81
87...

A college dean is interested in the exam performance of students
in a biology course. After the final exam, students are randomly
selected from three different section of the biology course. What
can be conclude with α = 0.05? The data are below.
section 1
section 2
section 3
84
68
81
65
41
75
64
77
40
78
69
90
82
82
77
75
82
81
91
70
90
82
94
81
87
82
72
77
81
87
67...

A department store supervisor is concerned about customer
service. To check if this is an issue, the supervisor randomly
selected a sample of clerks from stores at three different
locations (A, B, C). Then the supervisor records the number of
returns associated with each clerk for a month. What can the
supervisor conclude with α = 0.01?
A
B
C
8
10
7
9
11
12
14
10
8
7
7
10
b) Obtain/compute the appropriate values to make a...

Answer the within-subjects ANOVA questions using the data below.
Use α = 0.05.
1
2
3
4
53
49
47
48
51
34
44
44
39
36
34
39
30
41
46
42
39
47
36
34
47
37
35
30
27
33
28
31
a) Compute the preliminary statistics below.
SSBG = ; dfBG =
SSBS = ; dfBS =
SSE = ; dfE =
SST = ; dfT =
b) Compute the appropriate test statistic(s) to
make a decision about H0.
critical...

A sample of soy bean plots were divided into three equal groups
in a completely randomized design, and each group received a
different formulation of a selective weed killer (wk). The
researchers measured the area of crop damage inflicted by each
formulation. The aim is to choose the weed killer formulation that
inflicts the least amount of crop damage. What can the researchers
conclude with an α of 0.01?
wk 1
wk 2
wk 3
11
10
13
10
15...

Application Exercise:
A team of comparative psychologists are interested in the maternal
behavior or rats. In an experiment, 5, 20, and 30 day-old rat pups
were separated from their mothers. They then recorded the time (in
seconds) required for the mother rats to retrieve the pups. The
psychologists were interest in whether retrieval time varies with
age. The data are given below. What can be concluded with
α = 0.05?
5 Days Old
20 Days Old
30 Days Old
16...

An educational psychologist has developed a meditation technique
to reduce anxiety. The psychologist selected a sample of high
anxiety students that are asked to do the meditation at two therapy
sessions a week apart. The participants' anxiety is measured the
week before the first session and at each subsequent session. Below
are the anxiety scores for the participants. What can the
psychologist conclude with α = 0.05?
before
session 1
session 2
9
6
8
2
8
6
9
6...

Answer the one-way ANOVA questions using the data below. Use
α = 0.01.
1
2
3
4
53
49
47
45
51
34
44
44
25
36
34
39
30
12
46
42
49
37
36
34
47
25
37
30
27
33
28
31
a. Compute the preliminary statistics below.
SSBG = ________ ; dfBG = _________
SSWG = ________ ; dfWG = ________
SST = ___________ ; dfT = _________
b. Compute the appropriate test statistic(s) to make...

Application Exercise:
Researchers gave a family planning survey was given to the head(s)
of household in a local community. In particular, one question
asked the head(s) of households to indicate if they think the
community has a great, some, or no need of family planning
counseling. In addition, they were asked to indicate how many
children are in the household. Researchers want to know if the
number of children in the household is impacted by family planning
counseling. What can...

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