Question
In: Math
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 | 84 | 88 | 90 | 92 | 94 | 97 |
(a) The value of P90 ---->
(b) Complete the 5-number summary.
| Minimum | = | 35 |
| Q1 | = | ??? |
| Q2 | = | ??? |
| Q3 | = | ??? |
| Maximum | = | 97 |
Solutions
Expert Solution
First the data has to be arranged in the ascending order which the data is already arranged.
a) Percentile divides the data into 100 parts.
= (k)th
percentile
The formula to look for the k th percentile value = 
n = 22
90th percentile = 
= 
= 
= 92 + 0.7 (94 - 92)
= 93.4
(b) Complete the 5-number summary.
| Minimum | = | 35 |
| Q1 | = |  |
| Q2 | = |  |
| Q3 | = |  |
| Maximum | = | 97 |
Quartile divides the data into 4 parts.
= 
= 5th + 0.75 (6th - 5th) value
= 60 + 0.75 (61 - 60)
= 60.75
= 11th + 0.5 (12th -11th) value
= 71 + 0.5 (74 - 71)
= 72.5
= 17th + 0.25 (18th -17th) value
= 84 + 0.25 (88 - 84)
= 85
milcah answered 8 months agoRelated Solutions
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 Height: We want to test the claim that people are taller in the...
AM -vs- PM Height: We want to test the claim that people are
taller in the morning than in the evening. Morning height and
evening height were measured for 33 randomly selected adults and
the difference (morning height) − (evening height) for each adult
was recorded. The mean difference was 0.21 cm with a standard
deviation of 0.39 cm. Use this information to test the claim that
on average people are taller in the morning than in the evening.
Test...
AM -vs- PM Height: We want to test the claim that people are taller in the...
AM -vs- PM Height: We want to test the claim
that people are taller in the morning than in the evening. Morning
height and evening height were measured for 32 randomly selected
adults and the difference (morning height) − (evening height) for
each adult was recorded. The mean difference was 0.22 cm with a
standard deviation of 0.41 cm. Use this information to test the
claim that on average people are taller in the morning
than in the evening. Test...
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 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...
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...
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