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.
Extracted text: 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