Suppose a researcher wants to see whether teaching students to read using a computer game gives better results than teaching with a tried-and-true phonics method. She randomly selects 20 students and puts them into 10 pairs according to their reading readiness level, age, IQ, and so on. She randomly selects one student from each pair to learn to read via the computer game, and the other learns to read using the phonics method. At the end of the study, each student takes the same reading test. The data are shown in the following table.   Student Pair 1 2 3 4 5 6 7 8 9 10 Reading Score under Computer Method 85 80 95 87 78 82 57 69 73 99 Reading Score under phonics method 80 80 88 90 72 79 50 73 78 95   Test whether there is a significant difference between the computer method and the phonics method. If there is a significant difference, which particular method is better?

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  1. Suppose a researcher wants to see whether teaching students to read using a computer game gives better results than teaching with a tried-and-true phonics method. She randomly selects 20 students and puts them into 10 pairs according to their reading readiness level, age, IQ, and so on. She randomly selects one student from each pair to learn to read via the computer game, and the other learns to read using the phonics method. At the end of the study, each student takes the same reading test. The data are shown in the following table.

 

Student Pair

1

2

3

4

5

6

7

8

9

10

Reading Score under Computer Method

85

80

95

87

78

82

57

69

73

99

Reading Score under phonics method

80

80

88

90

72

79

50

73

78

95

 

Test whether there is a significant difference between the computer method and the phonics method. If there is a significant difference, which particular method is better?

 

 

 

  1. A school psychologist is interested in whether or not teachers affect the anxiety scores among students taking the Statistics exam. The data below are the standardized anxiety test scores for students with the three different teachers.

Teacher’s Name

Ms. San Pedro

Ms. San Juan

Ms. San Jose

8

23

22

10

14

18

12

12

14

11

8

22

13

15

22

15

16

10

16

14

11

17

19

9

9

10

 

10

 

 

13

 

 

Perform an analysis of variance at the 0.05 level of significance.

8. Suppose a researcher wants to see whether teaching students to read using a
computer game gives better results than teaching with a tried-and-true phonics
method. She randomly selects 20 students and puts them into 10 pairs according to
their reading readiness level, age, IQ, and so on. She randomly selects one student
from each pair to learn to read via the computer game, and the other learns to read
Using the phonics method. At the end of the study, each student takes the same
reading test. The data are shown in the following table.
2 3 45
8 9
Student Pair
1
6
7
10
78 82 57 69
Reading Score under
73 99
85
80
95
Computer Method
Reading Score under
phonics method
30 80
88
90
72
79
50
73
78
95
Test whether there is a significant difference between the computer method and
the phonics method. If there is a significant difference, which particular method is
better?
9. Aschool psychologist is interested in whether or not teachers affect the anxiety scores
among students taking the Statistics exam. The data below are the standardized
anxiety test scores for students with the three different teachers.
Teacher's Name
Ms. San
Ms. San Juan
Ms. San Jose
Pedro
23
22
10
14
18
12
12
14
11
8
22
13
15
22
15
16
10
16
14
11
17
19
10
10
13
Perform an analysis of variance at the 0.05 level of significance.
Transcribed Image Text:8. Suppose a researcher wants to see whether teaching students to read using a computer game gives better results than teaching with a tried-and-true phonics method. She randomly selects 20 students and puts them into 10 pairs according to their reading readiness level, age, IQ, and so on. She randomly selects one student from each pair to learn to read via the computer game, and the other learns to read Using the phonics method. At the end of the study, each student takes the same reading test. The data are shown in the following table. 2 3 45 8 9 Student Pair 1 6 7 10 78 82 57 69 Reading Score under 73 99 85 80 95 Computer Method Reading Score under phonics method 30 80 88 90 72 79 50 73 78 95 Test whether there is a significant difference between the computer method and the phonics method. If there is a significant difference, which particular method is better? 9. Aschool psychologist is interested in whether or not teachers affect the anxiety scores among students taking the Statistics exam. The data below are the standardized anxiety test scores for students with the three different teachers. Teacher's Name Ms. San Ms. San Juan Ms. San Jose Pedro 23 22 10 14 18 12 12 14 11 8 22 13 15 22 15 16 10 16 14 11 17 19 10 10 13 Perform an analysis of variance at the 0.05 level of significance.
8. Suppose a researcher wants to see whether teaching students to read using a
computer game gives better results than teaching with a tried-and-true phonics
method. She randomly selects 20 students and puts them into 10 pairs according to
their reading readiness level, age, IQ, and so on. She randomly selects one student
from each pair to learn to read via the computer game, and the other learns to read
Using the phonics method. At the end of the study, each student takes the same
reading test. The data are shown in the following table.
2 3 45
8 9
Student Pair
1
6
7
10
78 82 57 69
Reading Score under
73 99
85
80
95
Computer Method
Reading Score under
phonics method
30 80
88
90
72
79
50
73
78
95
Test whether there is a significant difference between the computer method and
the phonics method. If there is a significant difference, which particular method is
better?
9. Aschool psychologist is interested in whether or not teachers affect the anxiety scores
among students taking the Statistics exam. The data below are the standardized
anxiety test scores for students with the three different teachers.
Teacher's Name
Ms. San
Ms. San Juan
Ms. San Jose
Pedro
23
22
10
14
18
12
12
14
11
8
22
13
15
22
15
16
10
16
14
11
17
19
10
10
13
Perform an analysis of variance at the 0.05 level of significance.
Transcribed Image Text:8. Suppose a researcher wants to see whether teaching students to read using a computer game gives better results than teaching with a tried-and-true phonics method. She randomly selects 20 students and puts them into 10 pairs according to their reading readiness level, age, IQ, and so on. She randomly selects one student from each pair to learn to read via the computer game, and the other learns to read Using the phonics method. At the end of the study, each student takes the same reading test. The data are shown in the following table. 2 3 45 8 9 Student Pair 1 6 7 10 78 82 57 69 Reading Score under 73 99 85 80 95 Computer Method Reading Score under phonics method 30 80 88 90 72 79 50 73 78 95 Test whether there is a significant difference between the computer method and the phonics method. If there is a significant difference, which particular method is better? 9. Aschool psychologist is interested in whether or not teachers affect the anxiety scores among students taking the Statistics exam. The data below are the standardized anxiety test scores for students with the three different teachers. Teacher's Name Ms. San Ms. San Juan Ms. San Jose Pedro 23 22 10 14 18 12 12 14 11 8 22 13 15 22 15 16 10 16 14 11 17 19 10 10 13 Perform an analysis of variance at the 0.05 level of significance.
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