INTERNATIONAL MASTER OF BUSINESS PROGRAM

Website: www.griggs.edu.vn Email: gamba@griggs.edu.vn

Subject: BUAD555 Decision Science and Statistic for Managers

Class: GaMBA01.C02

Student: Truong Minh Chien, ID # 113408

Final Individual Assessment

TOPIC: APPLIED STATISTIC FOR BUSINESS AND

ORGANIZATION

INTRODUCTION

1 – Background :

Statistics in the business application is the performance of statistics probability theory to the realistic

business environment in order to serve purposes such as collection - data processing, sample surveys,

studies the relationship between phenomena, predict and help the CEO decision-making within the

specific business scene. As we all know in statistics business, it includes descriptive statistics and

statistical inference. Actually, in limited of this article, I only apply statistical inference to solve

problems specific topic request.

2 - Purpose

Applying statistical theory to solve exercises 2.2, 5.16 and 8.3 of the textbook. Since then draw the

lessons of experience and practical help for the operation of Son Trang Ly Limited Company.

3 - Progress

This report is realized bases upon below steps :

i. Understand and gather information

ii. Calculated and solve the Regression Equation

iii. Applied Excel and SPSS version 17

iv. Applied the Estimation Theory in Statistic

v. Draw the plots

1/ 12

INTERNATIONAL MASTER OF BUSINESS PROGRAM

Website: www.griggs.edu.vn Email: gamba@griggs.edu.vn

APPLIED STATISTIC AND ESTIMATION THEORY FOR ORGANIZATION

Execercise 2.2 The below information are data on the age of the patients visit the hospital A on

08/20/2008

32 45 53 60 79 73

73 53 61 48 51 49

62 72 37 70 38 66

52 33 78 45 65 47

64 47 61 75 57 64

Request :

a. Stem & Leaf display representing

b. Construct table of frequency distribution and cumulative percentage distribution

c. Draw the frequency plot

d. Comments on the age distribution of patients above

Solve

a. Stem & Leaf display

Frequency Stem & Leaf

2.0 3 . 2 3

2.0 3 . 7 8

6.0 4 . 5 5 7 7 8 9

4.0 5 . 1 2 3 3

1.0 5 . 7

6.0 6 . 0 1 1 2 4 4

2.0 6 . 5 6

4.0 7 . 0 2 3 3

3.0 7 . 5 8 9

Width of Stem : 10.00

Each Leaf includes : 1 case(s).

b. Table of frequency and cumulative frequency

Table 1 Descriptive frequency, percentage table

Age-grade Frequency Percentage (%) Cumulative

frequency

Cumulative Percentage (%)

30-35 2 6.67 2 6.67

35-40 2 6.67 4 13.33

40-45 0 0 4 13.33

45-50 6 20 10 33.33

50-55 4 13.33 14 46.67

55-60 1 3.33 15 50

60-65 6 20 21 70

65-70 4 6.67 23 76.67

70-75 2 13.33 27 90

75-80 3 10 30 100

Total 30 100 / /

c. Histogram, and other frequency plots

2/ 12

INTERNATIONAL MASTER OF BUSINESS PROGRAM

Website: www.griggs.edu.vn Email: gamba@griggs.edu.vn

d. Comments on the age distribution of patients

From the above frequency graph (Frequency Histogram), we easily see the majority of patients visit

the hospital A on 20/8/2008 are greater than 45 years of age and under 65 years old. The amount of

patients under 40 years old and is at least 65 years of patient accounting for a small amount.

Particularly of patients from 45 to 50 years old and the patients age 60 to 65 increased sharply higher.

It shows the hospital A on health care for middle-aged or older and retired people or those who were

too old working age. Basing oneself on above frequency histogram, we can imagine more value-

added services for Hospital A such as life insurance for elderly people or drugs on specific diseases of

the elderly such as heart tonic, hypertension, diabetes doses drugs to increase market power or other

drugs increases the digestibility of etc ...

3/ 12

INTERNATIONAL MASTER OF BUSINESS PROGRAM

Website: www.griggs.edu.vn Email: gamba@griggs.edu.vn

Exercise 5.16 The consumer rate of a local product at district A is 60%. After the marketing

campaign believed that the rate has increased. To test this idea, we randomly interviewed 400 people

and has 250 consumers found that product category. With the 0.05 significant make meaningful

conclusions about the comments above.

Solve

The rate of customer consumption of products before advertising campaign is: p

0

= 60% = 0.6

The rate of customer consumption of products after the advertising campaign : p

Set theory: H

0

: p = p

0

= 0.6

H

1

: p ˃ p

0

After implementation of advertising campaigns, the amount consumers are: p

*

= 250/400 = 0.625

= 62.5%

From above equation :

In other hand :

Comments : Because that we accept the theory H

0

: p = p

0

= 0.6, it means after the advertising

campaign that the percentage of customers used the product is less than or equal before advertising

campaign. Thus, the advertising campaign is a failure in district A because after doing the advertisng

campaign that the rate of customer consumption would not rise as expected and tends to decrease

(significant at 5%).

Exercise 8.3 The following data is the number of readers of a local newspaper (thousand person):

Year :

1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007

Readers :

53 65 74 85 92 105 120 128 144 158 179 195

Made a Least-Squares Trend Function and forecasts the total readers in 2008 and 2009 with 95%

confident interval.

Solve

Table 2 Readers of the newspaper related to time.

Năm t (time) y (x1000) t.y t

2

t

2

.y t

3

t

3

.y t

4

t

4

.y

1996 1 53 53 1 53 1 53 1 53

1997 2 65 130 4 260 8 520 16 1040

1998 3 74 222 9 666 27 1998 81 5994

1999 4 85 340 16 1360 64 5440 256 21760

2000 5 92 460 25 2300 125 11500 625 57500

2001 6 105 630 36 3780 216 22680 1296 136080

2002 7 120 840 49 5880 343 41160 2401 288120

2003 8 128 1024 64 8192 512 65536 4096 524288

4/ 12

INTERNATIONAL MASTER OF BUSINESS PROGRAM

Website: www.griggs.edu.vn Email: gamba@griggs.edu.vn

2004 9 144 1296 81 11664 729 104976 6561 944784

2005 10 158 1580 100 15800 1000 158000 10000 1580000

2006 11 179 1969 121 21659 1331 238249 14641 2620739

2007 12 195 2340 144 28080 1728 336960 20736 4043520

Total 78 1398 10884 650 99694 474552 987072 60710 10223878

I have graphs show audience of the newspaper in 12 years from 1996 to 2007 as follows:

From table 2 above, we calculate the means value of t and y as follows:

As the graph represented by the function y t above, we easily see t and y is a linear relationship.

Applied Linear-Trend model for with variables y and t, we get :

From above equation, we get :

5/ 12

Website: www.griggs.edu.vn Email: gamba@griggs.edu.vn

Subject: BUAD555 Decision Science and Statistic for Managers

Class: GaMBA01.C02

Student: Truong Minh Chien, ID # 113408

Final Individual Assessment

TOPIC: APPLIED STATISTIC FOR BUSINESS AND

ORGANIZATION

INTRODUCTION

1 – Background :

Statistics in the business application is the performance of statistics probability theory to the realistic

business environment in order to serve purposes such as collection - data processing, sample surveys,

studies the relationship between phenomena, predict and help the CEO decision-making within the

specific business scene. As we all know in statistics business, it includes descriptive statistics and

statistical inference. Actually, in limited of this article, I only apply statistical inference to solve

problems specific topic request.

2 - Purpose

Applying statistical theory to solve exercises 2.2, 5.16 and 8.3 of the textbook. Since then draw the

lessons of experience and practical help for the operation of Son Trang Ly Limited Company.

3 - Progress

This report is realized bases upon below steps :

i. Understand and gather information

ii. Calculated and solve the Regression Equation

iii. Applied Excel and SPSS version 17

iv. Applied the Estimation Theory in Statistic

v. Draw the plots

1/ 12

INTERNATIONAL MASTER OF BUSINESS PROGRAM

Website: www.griggs.edu.vn Email: gamba@griggs.edu.vn

APPLIED STATISTIC AND ESTIMATION THEORY FOR ORGANIZATION

Execercise 2.2 The below information are data on the age of the patients visit the hospital A on

08/20/2008

32 45 53 60 79 73

73 53 61 48 51 49

62 72 37 70 38 66

52 33 78 45 65 47

64 47 61 75 57 64

Request :

a. Stem & Leaf display representing

b. Construct table of frequency distribution and cumulative percentage distribution

c. Draw the frequency plot

d. Comments on the age distribution of patients above

Solve

a. Stem & Leaf display

Frequency Stem & Leaf

2.0 3 . 2 3

2.0 3 . 7 8

6.0 4 . 5 5 7 7 8 9

4.0 5 . 1 2 3 3

1.0 5 . 7

6.0 6 . 0 1 1 2 4 4

2.0 6 . 5 6

4.0 7 . 0 2 3 3

3.0 7 . 5 8 9

Width of Stem : 10.00

Each Leaf includes : 1 case(s).

b. Table of frequency and cumulative frequency

Table 1 Descriptive frequency, percentage table

Age-grade Frequency Percentage (%) Cumulative

frequency

Cumulative Percentage (%)

30-35 2 6.67 2 6.67

35-40 2 6.67 4 13.33

40-45 0 0 4 13.33

45-50 6 20 10 33.33

50-55 4 13.33 14 46.67

55-60 1 3.33 15 50

60-65 6 20 21 70

65-70 4 6.67 23 76.67

70-75 2 13.33 27 90

75-80 3 10 30 100

Total 30 100 / /

c. Histogram, and other frequency plots

2/ 12

INTERNATIONAL MASTER OF BUSINESS PROGRAM

Website: www.griggs.edu.vn Email: gamba@griggs.edu.vn

d. Comments on the age distribution of patients

From the above frequency graph (Frequency Histogram), we easily see the majority of patients visit

the hospital A on 20/8/2008 are greater than 45 years of age and under 65 years old. The amount of

patients under 40 years old and is at least 65 years of patient accounting for a small amount.

Particularly of patients from 45 to 50 years old and the patients age 60 to 65 increased sharply higher.

It shows the hospital A on health care for middle-aged or older and retired people or those who were

too old working age. Basing oneself on above frequency histogram, we can imagine more value-

added services for Hospital A such as life insurance for elderly people or drugs on specific diseases of

the elderly such as heart tonic, hypertension, diabetes doses drugs to increase market power or other

drugs increases the digestibility of etc ...

3/ 12

INTERNATIONAL MASTER OF BUSINESS PROGRAM

Website: www.griggs.edu.vn Email: gamba@griggs.edu.vn

Exercise 5.16 The consumer rate of a local product at district A is 60%. After the marketing

campaign believed that the rate has increased. To test this idea, we randomly interviewed 400 people

and has 250 consumers found that product category. With the 0.05 significant make meaningful

conclusions about the comments above.

Solve

The rate of customer consumption of products before advertising campaign is: p

0

= 60% = 0.6

The rate of customer consumption of products after the advertising campaign : p

Set theory: H

0

: p = p

0

= 0.6

H

1

: p ˃ p

0

After implementation of advertising campaigns, the amount consumers are: p

*

= 250/400 = 0.625

= 62.5%

From above equation :

In other hand :

Comments : Because that we accept the theory H

0

: p = p

0

= 0.6, it means after the advertising

campaign that the percentage of customers used the product is less than or equal before advertising

campaign. Thus, the advertising campaign is a failure in district A because after doing the advertisng

campaign that the rate of customer consumption would not rise as expected and tends to decrease

(significant at 5%).

Exercise 8.3 The following data is the number of readers of a local newspaper (thousand person):

Year :

1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007

Readers :

53 65 74 85 92 105 120 128 144 158 179 195

Made a Least-Squares Trend Function and forecasts the total readers in 2008 and 2009 with 95%

confident interval.

Solve

Table 2 Readers of the newspaper related to time.

Năm t (time) y (x1000) t.y t

2

t

2

.y t

3

t

3

.y t

4

t

4

.y

1996 1 53 53 1 53 1 53 1 53

1997 2 65 130 4 260 8 520 16 1040

1998 3 74 222 9 666 27 1998 81 5994

1999 4 85 340 16 1360 64 5440 256 21760

2000 5 92 460 25 2300 125 11500 625 57500

2001 6 105 630 36 3780 216 22680 1296 136080

2002 7 120 840 49 5880 343 41160 2401 288120

2003 8 128 1024 64 8192 512 65536 4096 524288

4/ 12

INTERNATIONAL MASTER OF BUSINESS PROGRAM

Website: www.griggs.edu.vn Email: gamba@griggs.edu.vn

2004 9 144 1296 81 11664 729 104976 6561 944784

2005 10 158 1580 100 15800 1000 158000 10000 1580000

2006 11 179 1969 121 21659 1331 238249 14641 2620739

2007 12 195 2340 144 28080 1728 336960 20736 4043520

Total 78 1398 10884 650 99694 474552 987072 60710 10223878

I have graphs show audience of the newspaper in 12 years from 1996 to 2007 as follows:

From table 2 above, we calculate the means value of t and y as follows:

As the graph represented by the function y t above, we easily see t and y is a linear relationship.

Applied Linear-Trend model for with variables y and t, we get :

From above equation, we get :

5/ 12

## Bài tập cá nhân môn luật

## Tài liệu Bài tập cá nhân mẫu

## Bài giảng Bài tập cá nhân mẫu môn KTQT tiếng Anh

## Bài giảng [DOC] Bài tập cá nhân mẫu EN

## Bài soạn [DOC] Bài tập cá nhân mẫu VN

## bai tap ca nhan tuan 4a

## BÀI TẬP CÁ NHÂN LẦN 4 MÔN ĐỊA CHẤT ĐẠI CƯƠNG potx

## Bài tập cá nhân: Camera pdf

## bài tập cá nhân lao động- quan hệ lao động

## bài tập cá nhân môn học phương pháp nghiên cứu khoa học

Tài liệu liên quan