The following is used for questions 10 to 13 . A tencher proposes a course designed to increase reading speed (measured by words per minute). To evaluate the effectiveness of this course, the teacher tests students before and after the course. The result is following: Student 1 2 3 4 Speed before class 100 160 120 | 167 | 200 Speed after class 136 170 135 169 210 Assume that the reading speeds are approxirmately normally distributed. Let ua be the mean difference between two populations (i.e., Hd = Hbeforz- Hafter).

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b) Find the mean and standard deviation of the difference. 

c) Find the rejection region and state your decision at α = 0.01. 

The following is used for questions 10 to 13 .
A teacher proposes a course designed to increase reading speed (measured by words
per minute). To evaluate the effectiveness of this course, the teacher tests students
before and after the course. The result is following:
Student
1
2
3
4
Speed before class
Speed after class
167
169 210
100
160
120
200
136 170
135
Assume that the reading speeds are approximately normally distributed.
Let ua be the mean difference between two populations (i.e., Ad = Mbe fore Mafter).
Transcribed Image Text:The following is used for questions 10 to 13 . A teacher proposes a course designed to increase reading speed (measured by words per minute). To evaluate the effectiveness of this course, the teacher tests students before and after the course. The result is following: Student 1 2 3 4 Speed before class Speed after class 167 169 210 100 160 120 200 136 170 135 Assume that the reading speeds are approximately normally distributed. Let ua be the mean difference between two populations (i.e., Ad = Mbe fore Mafter).
10. Is the course effective to improve the reading speed? Choose the appropriate hy-
potheses to test the claim.
(a) Ho : id = 0 versus H. : d #0
(b) H : d
0 versus H, :d > 0
(c) Ho : Hd = 0 versus Ha : fid > 0
(d) Ho : Abd == 0 versus Ha : fid < 0.
(e) H, : d = 0 versus H.:
d < 0.
Transcribed Image Text:10. Is the course effective to improve the reading speed? Choose the appropriate hy- potheses to test the claim. (a) Ho : id = 0 versus H. : d #0 (b) H : d 0 versus H, :d > 0 (c) Ho : Hd = 0 versus Ha : fid > 0 (d) Ho : Abd == 0 versus Ha : fid < 0. (e) H, : d = 0 versus H.: d < 0.
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