Question
In: Math
Consider the following three data sets which shows the students’ results for test in the new...
Consider the following three data sets which shows the students’ results for test in the
new course launched in the undergraduate program across three sections.
Class A:{65;75;73;50;60;64;69;62;67;85}
Class B:{85;79;57;39;45;71;67;87;91;49}
Class C: {43;51;53;110;50;48;87;69;68;91}
Using appropriate statistical tools- numerical and graphical, describe the similarity and differences in the students’ performance among the three classes.
Solutions
Expert Solution
| CLASS A | CLASS B | CLASS C | |
| 1 | 65 | 85 | 43 |
| 2 | 75 | 79 | 51 |
| 3 | 73 | 57 | 53 |
| 4 | 50 | 39 | 110 |
| 5 | 60 | 45 | 50 |
| 6 | 64 | 71 | 48 |
| 7 | 69 | 67 | 87 |
| 8 | 62 | 87 | 69 |
| 9 | 67 | 91 | 68 |
| 10 | 85 | 49 | 91 |
| TOTAL | 670 | 670 | 670 |
SUMMARY STAISTICS FOR CLASS A
| Column1 | |
| Mean | 67 |
| Standard Error | 2.988868 |
| Median | 66 |
| Mode | #N/A |
| Standard Deviation | 9.451631 |
| Sample Variance | 89.33333 |
| Kurtosis | 1.049154 |
| Skewness | 0.189496 |
| Range | 35 |
| Minimum | 50 |
| Maximum | 85 |
| Sum | 670 |
| Count | 10 |
| Largest(1) | 85 |
| Smallest(1) | 50 |
| Confidence Level(95.0%) | 6.76129 |
SUMMARY STAISTICS FOR CLASS B
| Column1 | |
| Mean | 67 |
| Standard Error | 5.917958 |
| Median | 69 |
| Mode | #N/A |
| Standard Deviation | 18.71423 |
| Sample Variance | 350.2222 |
| Kurtosis | -1.52492 |
| Skewness | -0.21157 |
| Range | 52 |
| Minimum | 39 |
| Maximum | 91 |
| Sum | 670 |
| Count | 10 |
| Largest(1) | 91 |
| Smallest(1) | 39 |
| Confidence Level(95.0%) | 13.38735 |
SUMMARY STAISTICS FOR CLASS C
| Column1 | |
| Mean | 67 |
| Standard Error | 7.07735 |
| Median | 60.5 |
| Mode | #N/A |
| Standard Deviation | 22.38055 |
| Sample Variance | 500.8889 |
| Kurtosis | -0.37231 |
| Skewness | 0.853689 |
| Range | 67 |
| Minimum | 43 |
| Maximum | 110 |
| Sum | 670 |
| Count | 10 |
| Largest(1) | 110 |
| Smallest(1) | 43 |
| Confidence Level(95.0%) | 16.01008 |
VARIANCE LESS IN CLASS A
milcah answered 4 months agoRelated Solutions
For each of the following sets of results, compute the appropriate test statistic, test the indicated...
For each of the following sets of results, compute the
appropriate test statistic, test the indicated alternative
hypothesis, and compute the effects size(s) indicating their
magnitude:
set
hypothesis
1
2
D
n
α
a)
μ1 ≠ μ2
32.6
32.1
4.2
24
0.05
b)
μ1 > μ2
101.9
95
10
27
0.01
c)
μ1 < μ2
74.6
70.2
6.6
24
0.10
a)
Compute the appropriate test statistic(s) to make a decision about
H0.
critical value? = ; test statistic? =
Decision?: ---Select--- Reject...
For each of the following sets of results, compute the appropriate test statistic, test the indicated...
For each of the following sets of results, compute the
appropriate test statistic, test the indicated alternative
hypothesis, and compute the effects size(s) indicating their
magnitude:
set
Hypothesis
μ0
σ
n
α
a)
μ ≠ μ0
51.4
50
3.6
49
0.05
b)
μ > μ0
39.7
40.1
6.2
31
0.15
c)
μ < μ0
31.8
30
8.9
33
0.10
a)
Compute the appropriate test statistic(s) to make a decision about
H0.
critical value =__________ ; test statistic =
________________
Decision: ***(choose...
For each of the following sets of results, compute the appropriate test statistic, test the indicated...
For each of the following sets of results, compute the
appropriate test statistic, test the indicated alternative
hypothesis, and compute the effects size(s) indicating their
magnitude:
set
Hypothesis
μ0
σ
n
α
a)
μ ≠ μ0
54.4
50.4
3
30
0.20
b)
μ > μ0
43
40.5
6.5
40
0.10
c)
μ < μ0
38.8
32
9.6
34
0.01
a)
Compute the appropriate test statistic(s) to make a decision about
H0.
critical value = _______; test statistic = ____________
Decision:...
For each of the following sets of results, compute the appropriate test statistic, test the indicated...
For each of the following sets of results, compute the
appropriate test statistic, test the indicated alternative
hypothesis, and compute the effects size(s) indicating their
magnitude:
set
Hypothesis
μ0
n
α
a)
μ ≠ μ0
99.9
99.1
3
26
0.05
b)
μ > μ0
22.6
20.6
6.6
27
0.10
c)
μ < μ0
49.1
55
8.1
23
0.01
a)
Compute the appropriate test statistic(s) to make a decision about
H0.
critical value = ; test statistic =
Decision: ---Select--- Reject H0 Fail...
For each of the following sets of results, compute the appropriate test statistic, test the indicated...
For each of the following sets of results, compute the
appropriate test statistic, test the indicated alternative
hypothesis, and compute the effects size(s) indicating their
magnitude:
set
Hypothesis
μ0
n
α
a)
μ ≠ μ0
13
10.7
3.2
21
0.05
b)
μ > μ0
97.5
99.8
8
18
0.01
c)
μ < μ0
21.1
20
8.6
23
0.10
a)
Compute the appropriate test statistic(s) to make a decision about
H0.
critical value = ; test statistic =
Decision: ---Select--- Reject H0 Fail...
For each of the following sets of results, compute the appropriate test statistic, test the indicated...
For each of the following sets of results, compute the
appropriate test statistic, test the indicated alternative
hypothesis, and compute the effects size(s) indicating their
magnitude:
set
Hypothesis
μ0
σ
n
α
a)
μ ≠ μ0
54.7
55
3.9
49
0.15
b)
μ > μ0
68.6
68
6.5
34
0.20
c)
μ < μ0
103.3
100
9.2
47
0.05
a)
Compute the appropriate test statistic(s) to make a decision about
H0.
critical value = ; test statistic =
Decision: ---Select--- Reject H0...
For each of the following sets of results, compute the appropriate test statistic, test the indicated...
For each of the following sets of results, compute the
appropriate test statistic, test the indicated alternative
hypothesis, and compute the effects size(s) indicating their
magnitude:
set
Hypothesis
1
2
D
n
α
a)
μ1 ≠ μ2
93.3
97.4
3.2
21
0.01
b)
μ1 > μ2
69.8
68
8.3
22
0.05
c)
μ1 < μ2
44.9
39.4
6.3
28
0.10
a)
Compute the appropriate test statistic(s) to make a decision about
H0.
critical value = ; test statistic =
Decision: ---Select--- Reject...
For each of the following sets of results, compute the appropriate test statistic, test the indicated...
For each of the following sets of results, compute the
appropriate test statistic, test the indicated alternative
hypothesis, and compute the effects size(s) indicating their
magnitude:
set
hypothesis
1
2
1
2
n1
n2
α
a)
μ1 ≠ μ2
14.3
15.6
2.4
2.2
6
14
0.10
b)
μ1 > μ2
69.6
64.1
3.4
3.7
15
7
0.05
c)
μ1 < μ2
22.5
25.4
2.6
4.8
13
11
0.01
a)
Compute the appropriate test statistic(s) to make a decision about
H0....
Consider the following sets of data. Explain (without carrying out a formal Goodness-of-fit test) whether you...
Consider the following sets of data. Explain
(without carrying out a formal Goodness-of-fit
test) whether you think the data follows the distribution it is
expected to follow. You might choose to find the expected
frequencies and compare them with the observed frequencies to make
a conclusion. (3 points)
Data Set I: Grades
Distribution
Grades
Claimed
Distribution
Survey
Results
A
10%
20
B
30%
65
C
35%
75
D
10%
17
F
5%
8
Data Set II: Ice-Cream Flavors Preferred
Flavors...
Answer the following questions on the basis of the three sets of data for the country...
Answer the following questions on the basis of the three sets of
data for the country of North Vaudeville:
Price Level A
Real GDP A
Price level B
Real GDP B
Price Level C
Real GDP C
110
290
100
215
110
240
100
265
100
240
100
240
95
240
100
265
95
240
90
215
100
290
90
240
a. Which set of data illustrates aggregate supply in the
immediate short-run in North Vaudeville?
Which set of...
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