Knowledge Management Research

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This record offers the research findings of the position of knowledge management system in helping students. The research is based on a sample of 480 college students from a college in Victoria between year 2 and yr 12 of study.
The following table represents the descriptive facts for three variables in the study.
Mark
Mark
GradeID
raisedhands
VisITedResources
AnnouncementsView
Discussion
Mean
76.73333
5.6
46.775
54.79792
37.91875
43.28333
Standard Error
0.800807
0.129657
1.404873
1.509889
1.214632
1.261484
Median
80
7
50
65
33
39
Mode
92
2
10
80
12
70
Standard Deviation
17.5448
2.840653
30.77922
33.08001
26.61124
27.63774
Sample Variance
307.8202
8.069311
0.129657

1.404873

1.509889

1.214632

1.261484

Median

80

7

50

65

33

39

Mode

92

2

10

80

12

70

Standard Deviation

17.5448

2.840653

30.77922

33.08001

26.61124

27.63774

Sample Variance

307.8202

8.069311

947.3605

1094.287

708.1583

763.8444

Kurtosis

-0.52198

-1.04107

-1.497

-1.4852

-1.00224

-1.12656

Skewness

-0.70473

0.026977

0.026962

-0.34244

0.399243

0.362594

Range

65

10

100

99

98

98

Minimum

35

2

0

0

0

1

Maximum

100

12

100

99

98

99

Sum

36832

2688

22452

26303

18201

20776

Count

480

480

480

480

480

480

The mean mark is 76.73 with a standard deviation of 17.54. The kurtosis for marks is -0.52 and the skewness is -0.70. The mean grade ID is 5.6 with a standard deviation of 2.84. The Kurtosis for the distribution of GradeID is -1.04 while the skewness is 0.02. The average value for the variable “raisedhands” is 46.78 with a standard deviation of 30.78. The kurtosis for “raisedhands” is -1.50 while the skewness is 0.03. The variables “mark” and “GradeID” are skewed to the left while “raisedhands” is skewed to the right. The three variables have a lower peak than the standard normal distribution. However, the peakedness and the skewness of the three variables is not significant and therefore, the three variables are normally distributed.

The above descriptive statistics would not be appropriate for the categorical variables like female and math. However, the statistics would show the composition of the dummy variables. For example the variable, Female is coded for 1 to represent female and 0 to represent male. Therefore, the mean value for the variable would lie between 0 and 1. The median value would be 0.5. However, if the females are greater than the number of males, the mean value would be greater than 0.5. On the other hand, if the males are greater than the number of females, the mean value would be less than 0.5.

The histogram below shows the distribution of students’ marks.

From the above histogram, we can conclude that students’ marks are negatively skewed. The distribution of the variable seems to follow the normal distribution

The figure below represents the boxplot for the distribution of the number of times that students raised hands.

The above boxplot shows that the data for the number of times that students raised hands is negatively distributed. However, the data do not have outliers.

D. The contingency table below represents the distribution of students’ marks between the mathematics class and those who did not take mathematics.

Row Labels

0

1

Grand Total

Greater

282

71

353

Less

82

45

127

Grand Total

364

116

480

Greater represents the students whose marks were at least 70 while less represents the number of students whose marks were less than 70.

Therefore, the probability of selecting a student whose mark is at least 70 randomly is shown below.

Probability = 353/480 = 0.7354 or 73.54%

Further, we can determine the likelihood of a student enrolled in maths having a mark of at least 70 as shown below.

Probability = 71/116 = 0.6121 or 61.21%

The probability of a random student scoring at least 70 is different from the probability of a random student enrolled in math scoring at least 70. Therefore, a student mark is not independent of whether they are enrolled in math class.

E. We wish to construct a 95% confidence interval for the mean number of times that male and female students raised hands. The table below shows the descriptive statistics for male and female students.

male

Female

Mean

43.28197

52.86286

Standard Error

1.752275

2.28427

Median

39

60

Mode

10

70

Standard Deviation

30.60217

30.21805

Sample Variance

936.4926

913.1305

Kurtosis

-1.50072

-1.35243

Skewness

0.177319

-0.23274

Range

100

100

Minimum

0

0

Maximum

100

100

Sum

13201

9251

Count

305

175

Confidence Level(95.0%)

3.448123

4.508444

The mean number of times that male students raised hands is 43.28 with a standard deviation of 30.60. The mean number of times that female students raised hands is 52.86 with a standard deviation of 30.22. The confidence interval for the male mean is 3.45 while the confidence interval for the female mean is 4.51. The following confidence intervals can, therefore, be constructed for male and female students.

Confidence intervals

Male: 43.2820 + 3.4481 = 39.8339

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