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9917 Statistics In Education

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  • Course Code: 9917
  • University: University Of Canberra
  • Country: Australia

Questions:

Q 1:

A physical education teacher collected data on students’ height AND the span of jump (see Table 1 below):

Student

Height (m)

Span of jump (m)

1

1.63

2.34

2

1.80

2.48

3

1.75

2.29

4

1.86

2.62

5

1.83

2.64

6

1.71

2.30

7

1.75

2.44

8

1.96

2.67

9

1.60

2.39

10

1.68

2.47

11

1.80

2.60

12

1.87

2.75

13

1.74

2.40

14

1.67

2.46

15

1.64

2.33

  1. What statistical procedure would you use to predict length of jump using height? Give reasons.
  2. Explain clearly two assumptions that must be met in conducting the test that you have identified in Q1(a). Why it is important these assumptions are met?

Q 2:

A researcher was interested in finding out whether attitude towards English would be enhanced when students were taught using newspapers in education.

Table 1 : Mean Attitude Score before and after the intervention

 

N

Mean

Std.

Std. Error

 

 

 

Deviation

Mean

Pretest

30

18.50

5.33

0.97

Posttest

30

23.86

4.75

0.87


Table 2 : Paired t Test

 

Mean

Std.

Std. Error

Lower

Upper

t

df

Sig.

 

 

Deviation

Mean

 

 

 

 

(2

 

 

 

 

 

 

 

 

tailed)

Pretest

-5.36

2.90

0.62

-6.65

-4.08

-

29

.000

Posttest

 

 

 

 

 

 

 

 


See Table 1 and Table 2 and answer the following Questions:

  1. What is the statistical test used?
  2. State the assumptions that should be met to use the above statistical test.
  3. States the null hypothesis.
  4. State the alternative hypothesis.
  5. What can you conclude from the two tables?

Q 3:

A study was conducted to assess the logical reasoning ability of male and female undergraduates.

The results of the study are shown in Table 1 and 2.

Table 1

Gender

N

Mean Score on the

Standard deviation

p-value

 

 

Logical Reasoning Test

 

 

Male

35

72

7.2

 

 

 

 

 

0.0005

Female

40

82

7.4

 


See Table 1 and answer the following:

  1. What is the statistical test used?
  2. Suggest one null hypothesis.
  3. What can you conclude?
Table 2:

 

Gender

Kolmogorov-Smirnova

Shapiro-Wilk

 

 

 

Statistic

df

Sig.

Statistic

df

Sig.

Spatial

Male

0.879

34

0.012

0.971

78

0.016

Test

Female

0.185

39

0.001

0.079

96

0.008

Scores

 

 

 

 

 

 

 

a. Lilliefors Significance Correction

 

 

 

 

 

Q 4:

See Table 2 above and answer the following:

  1. What is the purpose of the statistical test used?
  2. Explain the difference between ‘Kolmogorov-Smirnov’ and ‘Shapiro-Wilk’.
  3. What can you conclude?

Q 5:

A researcher conducted a study skills course over a period of five days among a group of beginners, intermediate and advanced speakers of English. At the end of the programme he administered a test to determine which group of students benefited from the programme.

The results of the study was analysed using One-Way ANOVA and the results are shown in the tables below:

Table 1

a) See Table 1 and answer the following Questions: 

  1. State one research Qfor the study
  2. Why was the Oneway-ANOVA used?
  3. What can conclude from the above table?
  4. State the assumptions for using the One-way ANOVA.

Table 2

b) See Table 2 above and answer the following Questions: 

  1. What can you conclude from the above table?
  2. What does the standard deviation tell you about the results?
  3. Explain the meaning of “95% confidence interval for mean”?

Table 3

c) See Table 3 above and answer the following Questions:

  • What is the meaning of “multiple comparison”?
  • What can you conclude from Table 3?
  • Answer the Research Qstated in a (i)?

Q 6:

 

Spatial Reasoning

Memory

Metacogniton

Mathematical ability

Verbal reasoning

Spatial reasoning

 

 

 

 

 

Memory

0.56

 

 

 

 

Metacognition

0,65

0.67

 

 

 

Mathematical

0.43

0.60

0.59

 

.

abiliy

 

 

 

 

 

Verbal reasoning

0.34

0.41

0.49

0.70

 


A study was conducted to determine the relationships between spatial reasoning, memory, metacognition, mathematical ability and verbal reasoning. The sample consisted of 80 males and 80 female 16 year old students. The Table above shows a correlation matrix between the five variable. Based on the table answer the following Questions:

  1. State THREE research Questions
  2. Discuss the findings of the study.

Q 7:

A researcher conducted a study to measure the Emotional Intelligence of a group of 16-year old students. The sample consisted of 120 subjects; 60 males and 60 female subjects. In her study, the researcher defined Emotional Intelligence as consisting of three factors or constructs; namely, Stress Tolerance, Optimism and Emotional Self-awareness.

List THREE possible research objectives.

Q 8:

State a hypothesis each using Emotional Intelligence as the dependent variable (as defined by the factors Stress Tolerance, Optimism and Emotional Self-Awareness ) for the following:

  1. Comparison according to Gender (Male & Female)
  2. Comparison according to Socioeconomic status (High, Middle & Low)
  3. Comparison according to Types of school (Rural & Urban)

Q 9.

State the appropriate statistical tests to test the three hypotheses listed in Question 8.

Q 10

State the assumptions required for the statistical test(s) used in Question 8.

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