SOlve and Interpret on a long bond paper. Print or save measure of central tendency your next lesson this saturday.
1. The eight best-selling paperback business books are listed.  Suppose a sample of book purchases provided data:
7 habits
Motley
Millionaire
Dad
Motley
Millionaire
Motley
7 habits
Motley
Millionaire
WSJ Guide
Motley
Dad
Millionaire
Motley
7 habits
WSJ Guide
7 Habits
7 Habits
WSJ Guide
Motley
Millionaire
Dummies
Dad
7 habits
Tax Guide
Dad
WSJ Guide
Millionaire
Millionaire
Dad
Tax Guide
Millionaire
Millionaire
Dad Tax Guide
Millionaire
7 Habits
Dad
WSJ Guide
7 habits
7 habits
Dad
Millionaire
Millionaire
Dad
7 Habits
Dummies
Millionaire
Dad
Parachute
WSJ Guide
Millionaire
Motley
Dad
Motley
Dad
Millionaire
Millionaire
Dad
2.  Consider the following data.
14
19
24
19
16
20
24
20
21
22
24
18
17
23
26
22
23
25
25
19
18
16
15
24
21
16
19
21
23
20
22
22
16
16
16
12
25
19
24
20
Develop a frequency distribution using classes 12 - 14, 15 - 17, 18 - 20, 21 - 23, 24 - 26
Graph
Interpret
Sunday, December 8, 2013
Sunday, November 17, 2013
Output # 1
Worksheet 1:
Answer the following on a long bond paper.
What is the level of measurement for each of the following? Give your reasoning.
1. Polls asked 50 families, "Would you say you are financially better off now than you were a year ago?" The responses:
_____________
Better off 42%
worse off 29%
same 26%
no opinion 3%
_____________
2. Every 4 hours the quality control inspector at selects 100 bedsheets at random and records the intensity of the blue color. There is some latitude, but if the color is too deep, or too light, the sheet is "irregular". The irregular sheets are sold at a discount. The percentages defective for the ten checks Monday through Friday are 1%, 2%, 0%, 1%, 1%, 0%, 0%, 1%, 3% and 0%.
3. Coaching staff rated each San Miguel basketball player who participated in more than five plays in the game against Purefoods.
_____________
Rating Number of Players
Outstanding 4
Excellent 10
Good 8
Fair 5
Poor 7
_____________
4. The National Center for Education Statistics cited the following college enrollment figures in a certain university.
____________________________
Gender 1992 2000
Male 4900 5750
Female 5250 6150
____________________________
5. Answers to the even-numbered Exercises are at the back of the book. Refer to table
_________________________
Probable Field of Study Percentage
Business 25
math and physics 13
Engineering 10
Social sciences 10
Arts and humanities 9
Education 9
Biological sciences 4
Chemistry 3
Physical Sciences 2
Other 15
total 100
_____________________________
Explain your answers in a paragraph form.
Answer the following on a long bond paper.
What is the level of measurement for each of the following? Give your reasoning.
1. Polls asked 50 families, "Would you say you are financially better off now than you were a year ago?" The responses:
_____________
Better off 42%
worse off 29%
same 26%
no opinion 3%
_____________
2. Every 4 hours the quality control inspector at selects 100 bedsheets at random and records the intensity of the blue color. There is some latitude, but if the color is too deep, or too light, the sheet is "irregular". The irregular sheets are sold at a discount. The percentages defective for the ten checks Monday through Friday are 1%, 2%, 0%, 1%, 1%, 0%, 0%, 1%, 3% and 0%.
3. Coaching staff rated each San Miguel basketball player who participated in more than five plays in the game against Purefoods.
_____________
Rating Number of Players
Outstanding 4
Excellent 10
Good 8
Fair 5
Poor 7
_____________
4. The National Center for Education Statistics cited the following college enrollment figures in a certain university.
____________________________
Gender 1992 2000
Male 4900 5750
Female 5250 6150
____________________________
5. Answers to the even-numbered Exercises are at the back of the book. Refer to table
_________________________
Probable Field of Study Percentage
Business 25
math and physics 13
Engineering 10
Social sciences 10
Arts and humanities 9
Education 9
Biological sciences 4
Chemistry 3
Physical Sciences 2
Other 15
total 100
_____________________________
Explain your answers in a paragraph form.
Monday, September 30, 2013
final exam
Final Exam
1.      
How significant is the difference in the
impressions of school special-services personnel, classroom teacher, and
department heads on the management practices of their school administrator? Use
1% alpha.
| 
ITEM | 
Personnel | 
Teachers | 
Heads | 
| 
1.       The
  applicant is likewise made aware of the disciplinary measures of erring
  personnel. | 
4.632 | 
4.698 | 
3.983 | 
| 
2.       The
  applicant is oriented towards the practices of the organization. | 
4.217 | 
4.314 | 
4.333 | 
| 
3.       Interviews
  are conducted before an applicant takes the exam. | 
4.823 | 
4.783 | 
4.799 | 
| 
4.       Examinations
  play an important role in recruitment. | 
4.442 | 
4.392 | 
4.111 | 
| 
5.       Interviews
  are conducted in recruiting personnel. | 
3.984 | 
3.872 | 
3.867 | 
2.      
A guidance counselor believes that the pulse
rates of the students likely increase before an examination.  To test this claim, she randomly picked 12
first year high school students and took their pulses before an ordinary class
meeting and then again before a class meeting that consisted of an
examination.  Use 5% of significance to
test the guidance counselor’s claim.
| 
Student | 
Pulse
  Rate Before Exam | 
Pulse Rate
  Before Ordinary Class | 
| 
A | 
85 | 
80 | 
| 
B | 
80 | 
80 | 
| 
C | 
76 | 
79 | 
| 
D | 
75 | 
80 | 
| 
E | 
83 | 
81 | 
| 
F | 
72 | 
70 | 
| 
G | 
77 | 
73 | 
| 
H | 
81 | 
74 | 
| 
I | 
69 | 
72 | 
| 
J | 
77 | 
75 | 
| 
K | 
82 | 
76 | 
| 
L | 
61 | 
65 | 
3.      
 The Human
Resource Department is doing a study on job satisfaction.  A random sample of 310 employees were given a
test that is designed to measure the level of job satisfaction.  Each employee’s salary was also
recorded.  Use 0.05 level of significance
to determine if salary and job satisfaction are independent.
| 
Satisfaction | 
Under P15,000 | 
P15,000 -25,000 | 
Over P25,000 | 
| 
High | 
20 | 
20 | 
10 | 
| 
Medium | 
100 | 
65 | 
35 | 
| 
Low | 
40 | 
15 | 
5 | 
4.      
Calculate the correlation of concordance of the
ranks of the judges on the singing performance of 10 contestants.
| 
Contestants | 
Ranks by 4
  judges | |||
| 
1 | 
2 | 
3 | 
4 | |
| 
1 | 
9 | 
10 | 
10 | 
9 | 
| 
2 | 
8 | 
6 | 
7 | 
5 | 
| 
3 | 
3 | 
1 | 
2 | 
4 | 
| 
4 | 
10 | 
9 | 
8 | 
10 | 
| 
5 | 
4 | 
5 | 
1 | 
3 | 
| 
6 | 
2 | 
3 | 
4 | 
1 | 
| 
7 | 
7 | 
8 | 
9 | 
6 | 
| 
8 | 
5 | 
4 | 
6 | 
7 | 
| 
9 | 
1 | 
2 | 
3 | 
2 | 
| 
10 | 
6 | 
7 | 
5 | 
8 | 
Use 0.05 alpha.
5.      
Twenty students are given tests in mathematical ability
and abstract reasoning.  The resulting
scores are as follows:
Student                                Mathematical
Ability                     Abstract
Reasoning
1                                                              5                                                              7
2                                                              12                                                           14
3                                                              9                                                              11
4                                                              11                                                           9
5                                                              10                                                           10
6                                                              8                                                              6
7                                                              4                                                              3
8                                                              6                                                              9
9                                                              3                                                              4
10                                                           8                                                              9
11                                                           10                                                           11
12                                                           7                                                              12
13                                                           14                                                           13
14                                                           17                                                           13
15                                                           11                                                           14
16                                                           14                                                           12
17                                                           6                                                              10
18                                                           10                                                           5
19                                                           9                                                              7
20                                                           8                                                              9
6.      
Apply the two-way ANOVA to the following
data.  Use 5 percent level of
significance.
Low Achievers                  Average Achievers                          High Achievers
----------------------------------------------------------------------------------------------
English                                                 33                                           43                                                           41
                                                                40                                           35                                                           31
                                                                36                                           40                                                           38
Filipino                                                                36                                           42                                                           48
                                                                35                                           43                                                           49
                                                                37                                           42                                                           37
TWO-WAY ANOVA
Two-Way ANOVA
1. Elementary Science 6 Achievement Test Score of 27 Pupils Classified According to Prior Elementary Science Achievement and Performance on a Test of Rigidity
1. Elementary Science 6 Achievement Test Score of 27 Pupils Classified According to Prior Elementary Science Achievement and Performance on a Test of Rigidity
Rigidity Tendency                                             
Prior Elementary Science Achievement
                                                  
Low Achievers               
Average Achievers             
High Achievers
High Rigidity                                       40                                   53                                        61
                                                            
42                                   
45                                       
51
                                                             
37                                    50                                        58
Average Rigidity                                 46                                     52                                       58
                                                              
45                                    53                                        60
                                                              
47                                    
52                                      
57
Low Rigidity                
                         52                                    54                                         64
                                                               
53                                  
56                                          64
                                                                
50                                  
59                                         67
Alpha = 0.01
2.  Scores of 80
individuals of both sexes on an attitude scale after the administration of four
different films
                 
Males                                                                                  FILM
                                                                1              2              3              4
                                                                10           14           13           16
                                                                8              12           12           12
                                                                6              8              10           10
                                                                4              4              9              9
                                                                4              4              9              9
                                                                4              4              7              7
                                                                2              3              4              7
                                                                2              2              4              6
                                                                2              2              4              5
                                                                1              1              2              5
Females                                               14           14           10           18
                                                                12           13           10           16
                                                                12           12           10           15
                                                                10           11           9              14
                                                                8              10           9              13
                                                                6              9              7              10
                                                                4              7              7              10
                                                                2              6              6              10
                                                                2              3              5              10
                                                                1              2              4              9
Alpha = 0.05
3. Below are the scores of a group of fraternity and
nonfraternity men broken down by class on a attitude scale.  Analyze these data following the factorial
design and make the appropriate F tests. 
Set alpha 0.01.
                                                                Fraternity
Men
Freshmen           Sophomores      Juniors                  Seniors
12                                           22                           26                           30
8                                              18                           20                           26
10                                           12                           18                           20
6                                              20                           16                           22
8                                              8                              10                           18
                                                                Nonfraternity
Men
18                                           20                           22                           24
16                                           18                           21                           22
8                                              12                           19                           16
12                                           18                           17                           18
14                                           16                           18                           24
4.  Apply the two-way
ANOVA to the following data.  Use 5
percent level of significance.
English                                  Low
Achievers                   Average
Achievers          High Achievers
                                                                33                                           43                                           41
                                                                40                                           35                                           31
                                                                36                                           40                                           38
Filipino                                                  36                                           42                                           48
                                                                35                                           43                                           49
                                                                37                                           42                                           37
Median Test and the Mann-Whitney Test
The median test is a non-parametric test that determines the
significance of the difference between the medians of two independent
groups.  
1.      
 A
researcher wished to compare the effect of a treatment upon the number of
correct responses on an achievement test. 
The experimental group received the treatment while the control group
did not.  The data are indicated in the
table below:
Experimental Group                                       Control
Group
46           24                                                           48           16
45           24                                                           46           15
43           23                                                           42           15
41           21                                                           40           14
31           19                                                           38           13
31           17                                                           28           12
27           16                                                           19           10
26           13                                                           18           10
26           12                                                           18           9
25           9                                                              17           8
2. Below are the scores of a group of students who used a
new teaching methodology and a group of students who were taught in traditional
way.  Test the hypothesis of no
difference using the median test at 5% level of significance.
                                New
Method                                                     Traditional
Method
                                6                              8                                              7                              5
                                14                           13                                           12                           13
                                16                           6                                              8                              6
                                9                              7                                              4                              5
                                10                           14                                           5                              12
                                10                           14
3.In the data below are two sample of scores
obtained on the standardized achievement test. 
Apply the median test to test the hypothesis of no difference.  Use 5% level of significance.
                Group
A                                                               Group
B
                47                           40                                           30                           48
                35                           37                                           32                           40
                30                           43                                           33                           42
                40                           32                                           35                           34
                25                           29                                           46                           28
Friedman Two-Way Analysis of Variance by
Ranks
When the data from K matched samples are in
at least an ordinal scale, the Friedman two-way of variance by ranks is used to
test the null hypothesis that the K samples have been drawn from 
the same population.  The matched samples may be the same group of
individuals who have been exposed to several conditions, or they be sets of
individuals who have been matched on relevant variables and are randomly
assigned to different conditions.
1.      
 How
significant is the difference in the impressions of school special services
personnel, classroom teacher, and department heads on the management practices
of their school administrator?
| 
ITEM | 
Personnel Weighted Ave | 
Teachers weighted AVE | 
Heads Weighted Ave | 
| 
1.      
  Interviews are conducted in recruiting
  personnel | 
3.984 | 
3.872 | 
3.867 | 
| 
2.      
  Examinations play an important role in
  recruitment | 
4.442 | 
4.392 | 
4.111 | 
| 
3.      
  Interviews are conducted before an applicant
  takes the exam. | 
4.823 | 
4.783 | 
4.799 | 
| 
4.      
  The applicant is oriented towards the
  practices of the organization. | 
4.217 | 
4.314 | 
4.333 | 
| 
5.      
  The applicant is likewise made aware of the
  disciplinary measures of erring personnel. | 
4.632 | 
4.698 | 
3.983 | 
2.      
A company’s trainees are randomly assigned to
groups that are oriented on certain industrial inspection procedure by three
different methods and at the end of the orientation period they are tested for
inspection performance quality.  The
following are their scores.
| 
Method 1 | 
84 | 
71 | 
81 | 
64 | 
76 | 
87 |  | 
| 
Method 2 | 
75 | 
72 | 
69 | 
74 | 
51 | 
62 | 
70 | 
| 
Method 3 | 
79 | 
57 | 
62 | 
66 | 
79 |  |  | 
3.      
Below are the scores of three matched groups
under four conditions.  Test the null
hypothesis using the Friedman two-way ANOVA. 
Alpha = 0.01
Conditions
Groups                                                 I                               II                             III                            IV
A                                                             9                              4                              1                              7
B                                                             6                              5                              2                              8
C                                                             9                              1                              2                              6
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