A researcher measured a dataset of 22 students' writing scores. Here is a dataset as follows: 

10 of 22 students are tutored by older students (i.e., peer tutors), and 12 of 22 students are taught by elementary school teachers (i.e., teacher tutors). Students are randomly assigned.

ID	Tutor	Writing Score
1	peer	54
2	peer	40
3	peer	68
4	peer	54
5	peer	55
6	peer	35
7	peer	54
8	peer	70
9	peer	60
10	peer	50
11	teacher	50
12	teacher	48
13	teacher	35
14	teacher	65
15	teacher	70
16	teacher	32
17	teacher	55
18	teacher	45
19	teacher	50
20	teacher	50
21	teacher	60
22	teacher	40

If the researcher is interested in the research question that whether there are significant differences in writing scores for students taught by peers versus elementary teachers. Then, write the correct answers to each question below.

Q1. Regarding the research question mentioned above,

[Null Hypothesis] = _____________

[Alternative Hypothesis] = _____________

Q2. Indicate which t-test is appropriate, independent sample t-test or dependent t-test? ________________________

Q3. Run the appropriate (either independent or dependent) t-test. And then, answer the following questions:

a) Mean of Writing scores of two groups

[Mean of writing scores of peer-tutored group] =_ _________________

[Mean of writing scores of teacher-tutored group] = _________________

b) Standard deviations of Writing scores of two groups

[Standard deviations of writing scores of peer-tutored group] = __________

[Standard deviations of writing scores of teacher-tutored group] = __________

c) By assuming the equal variances, write the test statistics (i.e., t-value, or t-statistics), degrees of freedom (i.e., df), and p-value

[t-statistics] = ___________

[degrees of freedom] = ___________

[p-value] = ___________

d) Under =0.05 level, could we reject or retain the null hypothesis?

e) Write the conclusion based on the research question of the scenario.