# ESE633: Explain the distribution of the scores and the standard deviation shown in the two graphs above.

QUESTION 1

An English test was administered to two classes of secondary school students.  Explain the distribution of the scores and the standard deviation shown in the two graphs above.

QUESTION 2

Refer to the table above. Interpret the mean and standard deviation

QUESTION 3

The research was conducted on the opinion of teachers on students bringing smartphones to school. A sample of 200 female and 165 male teachers were asked the question ‘Should students be allowed to bring smartphones to school? The results of the study are shown below:

Based on the information shown in the table:

1. Write a suitable null and alternate hypothesis.
2. Why was the chi-square used?
3. What conclusion can be drawn from the table above?

QUESTION 4

A physical education teacher collected data on students’ height AND the span of the jump. See Table 1 below:

1. What statistical procedure would you use to predict the length of the jump using height? Give reasons.
2. Explain clearly two assumptions that must be met in conducting the test that you have identified in Q5(a). Why it is important these assumptions are met?

QUESTION 5

A study was conducted to test the critical thinking abilities of primary school children from different socioeconomic backgrounds. The results are shown in the table above. Explain why you would use Oneway ANOVA and not multiple t-tests to determine if the difference between the groups is significant.