Question
In: Statistics and Probability
Grades and AM/PM Section of Stats: There were two large sections of statistics this term at...
Grades and AM/PM Section of Stats: There were two large sections of statistics this term at State College, an 8:00 (AM) section and a 1:30 (PM) section. The final grades for both sections are depicted in the contingency table below.
Observed Frequencies: Oi's
| A | B | C | D | F | Totals | |
| AM | 6 | 11 | 19 | 20 | 15 | 71 |
| PM | 19 | 19 | 19 | 13 | 7 | 77 |
| Totals | 25 | 30 | 38 | 33 | 22 | 148 |
The Test: Test for a significant dependent
relationship between grades and the section of the course. Conduct
this test at the 0.05 significance level.
(a) What is the test statistic? Round your answer to 3 decimal places.
χ2
=
(b) What is the conclusion regarding the null hypothesis?
reject H0fail to reject H0
(c) Choose the appropriate concluding statement.
We have proven that grades and section of the course are independent.
The evidence suggests that there is a significant dependent relationship between grades and the section of the course.
There is not enough evidence to conclude that there is a significant dependent relationship between grades and the section of the course.
Solutions
Expert Solution
Solution:
a) Test statistic X²= 13.066
b) X²=13.066 > X²c=9.488, Hence we reject Ho.
c) conclusion:
The evidence suggests that there is a significant dependent relationship between grades and the section of the course.
Calculation:
orchestra answered 1 year agoRelated Solutions
Grades and AM/PM Section of Stats: There were two large sections of statistics this term at...
Grades and AM/PM Section of Stats: There were
two large sections of statistics this term at State College, an
8:00 (AM) section and a 1:30 (PM) section. The final grades for
both sections are summarized in the contingency table below.
Observed Frequencies:
Oi's
A
B
C
D
F
Totals
AM
6
11
17
19
18
71
PM
19
20
17
12
9
77
Totals
25
31
34
31
27
148
The Test: Test for a significant dependent
relationship between grades...
Grades and AM/PM Section of Stats: There were two large sections of statistics this term at...
Grades and AM/PM Section of Stats: There were
two large sections of statistics this term at State College, an
8:00 (AM) section and a 1:30 (PM) section. The final grades for
both sections are summarized in the contingency table below.
Observed Frequencies:
Oi's
A
B
C
D
F
Totals
AM
6
11
18
19
18
72
PM
19
19
18
12
8
76
Totals
25
30
36
31
26
148
The Test: Test for a significant dependent
relationship between grades...
Grades and AM/PM Section of Stats: There were two large sections of statistics this term at...
Grades and AM/PM Section of Stats: There were
two large sections of statistics this term at State College, an
8:00 (AM) section and a 1:30 (PM) section. The final grades for
both sections are summarized in the contingency table below.
Observed Frequencies: Oi's
A
B
C
D
F
Totals
AM
6
11
17
18
20
72
PM
19
19
17
12
9
76
Totals
25
30
34
30
29
148
The Test: Test for a significant dependent
relationship between grades...
Grades and AM/PM Section of Stats: There were two large sections of statistics this term at...
Grades and AM/PM Section of Stats: There were
two large sections of statistics this term at State College, an
8:00 (AM) section and a 1:30 (PM) section. The final grades for
both sections are summarized in the contingency table below.
Observed Frequencies:
Oi's
A
B
C
D
F
Totals
AM
6
11
19
18
17
71
PM
19
20
18
12
8
77
Totals
25
31
37
30
25
148
The Test: Test for a significant dependent
relationship...
AM -vs- PM sections of Stats - Significance test (Raw Data, Software Required): There are two...
AM -vs- PM sections of Stats - Significance test (Raw
Data, Software Required):
There are two sections of statistics, one in the afternoon (PM)
with 30 students and one in the morning (AM) with 22 students. Each
section takes the identical test. The PM section, on average,
scored higher than the AM section. The scores from each section are
given in the table below. Test the claim that the PM section did
significantly better than the AM section, i.e., is...
AM -vs- PM Test Scores: In my PM section of statistics there are 30 students. The...
AM -vs- PM Test Scores: In my PM section of
statistics there are 30 students. The scores of Test 1 are given in
the table below. The results are ordered lowest to highest to aid
in answering the following questions.
index
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
score
44
48
50
52
55
60
61
64
64
65
66
67
68
71
75
index
16
17
18
19
20
21
22...
AM -vs- PM Test Scores: In my PM section of statistics there are 30 students. The...
AM -vs- PM Test Scores: In my PM section of
statistics there are 30 students. The scores of Test 1 are given in
the table below. The results are ordered lowest to highest to aid
in answering the following questions.
index
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
score
43
48
50
52
55
60
61
61
64
65
66
67
68
71
75
index
16
17
18
19
20
21
22...
AM -vs- PM Test Scores: In my AM section of statistics there are 22 students. The...
AM -vs- PM Test Scores: In my AM section of
statistics there are 22 students. The scores of Test 1 are given in
the table below. The results are ordered lowest to highest to aid
in answering the following questions.
index
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
score
35
50
58
59
60
61
65
66
68
68
71
74
76
76
79
82...
Exam Grades Exam grades across all sections of introductory statistics at a large university are approximately...
Exam Grades
Exam grades across all sections of introductory statistics at a
large university are approximately normally distributed with a mean
of 72 and a standard deviation of 11. Use the normal distribution
to answer the following questions.
(a) What percent of students scored above a 90 ?
Round your answer to one decimal place.
(b) What percent of students scored below a 58 ?
Round your answer to one decimal place.
(c) If the lowest4%of students will be required...
Exam grades across all sections of introductory statistics at a large university are approximately normally distributed...
Exam grades across all sections of introductory statistics at a
large university are approximately normally distributed with a mean
of 72 and a standard deviation of 11. Use the normal distribution
to answer the following questions.
(a) What percent of students scored above an 88 ?Round your
answer to one decimal place.
(b) What percent of students scored below a 59 ?Round your
answer to one decimal place.
(c) If the lowest 7%of students will be required to attend peer...
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