Explain the Distribution of the Scores and the Standard Deviation - Statistics Assignment Help

Assignment Task

Question 1:
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A mathematics test was administered to two groups of secondary school students. Explain the distribution of the scores and the standard deviation shown in the two graphs above.

Question 2
A researcher conducted a study to find out how parents felt about the Ministry of Education’s decision to abolish the Primary School Final Examination. A sample 190 mothers and 160 fathers were asked the question ‘Should the Primary School Final Examination be abolished? and the results are shown below:
Gender Should the Primary School Final Examination be abolished?
Total
No Yes Mothers 60 130 190
Fathers 40 120 160
Total 100 250 350

The value is 20.704 while the p-value is 0.0001.
Based on the information shown:

Write a suitable null and the alternate hypotheses.
Why was the chi square used?
What conclusion can be drawn from the table above?

Question 3
Table 1:
Gender Kolmogorov-Smirnova Shapiro-Wilk
Statistic df Sig. Statistic df Sig.
Logical ThinkingTest Score Male 0.879 34 0.012 0.
971 78 0.016
Female 0.185 39 0.001 0.079 96 0.008
a. Lilliefors Significance Correction
See Table 1 above and answer the following:
What is the purpose of the statistical test used?
Explain the difference between ‘Kolmogorov-Smirnov’ and ‘Shapiro-Wilk’.
What can you conclude from the findings in the Table?

Question 4
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The Table above shows the correlation between performance in English and Mathematics among a sample of 10 primary school students. Explain the findings.

Question 5
A researcher was interested in finding out whether Moral Reasoning could be enhanced if students were taught using Moral Dilemmas. Subjects were given a Moral Reasoning Test before the treatment. After having taught them using moral dilemmas for 4 weeks, the same test was given and the results are shown in Table 1 below.
Table 1: Mean Moral Reasoning Score Before and After
Teaching Using Moral Dilemmas
N Mean Std. Deviation Std. Error Mean
Pretest 30 18.50 5.33 0.97
Posttest 30 23.86 4.75 0.87
Describe the findings in the Table above
State ONE null hypothesis
Why is the paired t-test used? [as shown in Table 2 above]
What can you conclude from Table 2?
Table 2 : Paired t Test
Mean Std. Deviation Std. Error Mean Lower Upper t df Sig. (2 tailed)
Pretest -5.36 2.90 0.62 -6.65 -4.08 -8.66 29 .000

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