Lack of motivation is a problem for many students in inner‑city schools. To begin to address this problem, researchers conduct an experiment to determine whether motivation can be improved by allowing students greater choice in structuring their curricula. The researchers select two schools with similar student populations, and randomly choose fifty students from each school to participate in the experiment. At School A, the fifty students choose the courses they wish to take, but these students do not get to choose time of day or instructor for their courses. The fifty students at School B choose not only their courses, but also the time of day and instructor for each of their courses. The researchers measure student motivation by the number of times each student is absent from or late for a class during a 20‑day period. Data file: ABSENCES. (Posted on Canvas)
Use StatCrunch to answer the following questions
A. Do the data provide sufficient evidence to indicate that students from school B have greater motivation than those from school A? Use 0.10 significance level.
B. With 90% confidence, estimate the difference in mean number of absences between school A and school B.
Note: Please make sure to provide complete answers
For a hypothesis test:
Define parameters
Write down null and alternative hypothesis
Write down decision rule
Write down test statistic (formula), value of the test statistics and corresponding p-value
Decision
Conclusion
For an estimation problem (confidence interval):
Write down the formula
Write down the interval
Interpret the interval
Please show all work
Data
School A School B
10 4
21 10
19 2
7 7
0 7
53 12
11 2
0 8
9 9
21 8
20 7
19 10
4 3
6 6
6 3
28 7
26 3
23 11
25 12
22 3
1 9
18 5
5 8
4 7
3 9
19 6
2 3
10 14
20 8
49 4
1 11
0 11
14 3
0 21
18 32
20 3
11 21
15 4
2 6
1 6
25 7
6 19
1 8
11 10
29 2
4 7
2 6
1 9
5 21
4 4