In Semester 1 2020/2021 study session, Sara has registered three courses namely Statistics, Research Methodology and Educational Psychology. In this particular academic session, each course has 100 registered students (including Sara). Table 2 shows the Sara’s marks in Mid-Term Tests with the mean and standard deviation for each course:-table-a.Express EACH of the Sara’s marks in term of standardized score (viewed from the respective course).b.Based on the standardized scores in (a), identify which course:Sara performs best in the Mid-Term testSara perform worst in the Mid-Term test c. A male student scored 2 standard deviations above the mean of the Mid-Term Statistics What is his actual mark?d.Let assume that the population distribution (i.e. test scores of all 100 registered course takers) of Mid-Term Statistics test is normal. If a student scores 39 in Statistics Mid-Term test, would he fall in Top 5% scorers? Explain your answer. Table 2: Details of Sara's Test Marks (TotalN=100)CoursesSara's MarkМeanStd DevStatistics3837.51.5Research Methodology3632.53.0Educational Psychology31323.8

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Description: In Semester 1 2020/2021 study session, Sara has registered three courses namely Statistics, Research Methodology and Educational Psychology. In this particular academic session, each course has 100 registered students (including Sara). Table 2 shows

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Author:Amos Gilat

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In Semester 1 2020/2021 study session, Sara has registered three courses namely Statistics, Research Methodology and Educational Psychology. In this particular academic session, each course has 100 registered students (including Sara). Table 2 shows the Sara’s marks in Mid-Term Tests with the mean and standard deviation for each course:

-table-

a.Express EACH of the Sara’s marks in term of standardized score

(viewed from the respective course).

b.Based on the standardized scores in (a), identify which course:

Sara performs best in the Mid-Term test
Sara perform worst in the Mid-Term test

c. A male student scored 2 standard deviations above the mean of

the Mid-Term Statistics What is his actual mark?

d.Let assume that the population distribution (i.e. test scores of all

100 registered course takers) of Mid-Term Statistics test is

normal. If a student scores 39 in Statistics Mid-Term test, would

he fall in Top 5% scorers? Explain your answer.

Table 2: Details of Sara's Test Marks (TotalN=100)
Courses
Sara's Mark
Мean
Std Dev
Statistics
38
37.5
1.5
Research Methodology
36
32.5
3.0
Educational Psychology
31
32
3.8

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