Statistics for Managers

Using Microsoft® Excel

5th Edition

Chapter 1

Introduction and Data Collection

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-1

Learning Objectives

In this chapter, you will learn:

How statistics is used in business

The sources of data used in business

The types of data used in business

The basics of Microsoft Excel

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-2

Why Study Statistics?

Decision Makers Use Statistics To:

Present and describe business data and information properly

Draw conclusions about large populations, using information collected from samples

Make reliable forecasts about a business activity

Improve business processes

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-3

Types of Statistics

 Statistics

 The branch of mathematics that transforms data into useful information for decision makers.

Descriptive Statistics

Collecting, summarizing, and describing data

Inferential Statistics

Drawing conclusions and/or making decisions concerning a population based only on sample data

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-4

Descriptive Statistics

Collect data

 ex. Survey

Present data

 ex. Tables and graphs

Characterize data

 ex. Sample mean =

X i n

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-5

Inferential Statistics

 Estimation

 ex. Estimate the population mean weight using the sample mean weight

 Hypothesis testing

 ex. Test the claim that the population mean weight is

120 pounds

Drawing conclusions and/or making decisions concerning a population based on sample results.

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-6

Basic Vocabulary of Statistics

VARIABLE

A variable is a characteristic of an item or individual.

DATA

Data are the different values associated with a variable.

OPERATIONAL DEFINITIONS

Variable values are meaningless unless their variables have operational definitions, universally accepted meanings that are clear to all associated with an analysis.

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-7

Basic Vocabulary of Statistics

POPULATION

A population consists of all the items or individuals about which you want to draw a conclusion.

SAMPLE

A sample is the portion of a population selected for analysis.

PARAMETER

A parameter is a numerical measure that describes a characteristic of a population.

STATISTIC

A statistic is a numerical measure that describes a characteristic of a sample.

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-8

Population vs. Sample

Population Sample

Measures used to describe the population are called parameters

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Measures computed from sample data are called statistics

Chap 1-9

Why Collect Data?

 A marketing research analyst needs to assess the effectiveness of a new television advertisement.

 A pharmaceutical manufacturer needs to determine whether a new drug is more effective than those currently in use.

 An operations manager wants to monitor a manufacturing process to find out whether the quality of product being manufactured is conforming to company standards.

 An auditor wants to review the financial transactions of a company in order to determine whether the company is in compliance with generally accepted accounting principles.

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-10

Sources of Data

Primary Sources: The data collector is the one using the data for analysis

 Data from a political survey

Data collected from an experiment

Observed data

Secondary Sources: The person performing data analysis is not the data collector

Analyzing census data

Examining data from print journals or data published on the internet.

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-11

Types of Variables

 Categorical ( qualitative ) variables have values that can only be placed into categories, such as “yes” and “no.”

 Numerical ( quantitative ) variables have values that represent quantities.

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-12

Types of Variables

Data

Categorical Numerical

Examples:

Marital Status

Political Party

Eye Color

(Defined categories)

Discrete

Examples:

Number of Children

Defects per hour

(Counted items)

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Continuous

Examples:

Weight

Voltage

(Measured characteristics)

Chap 1-13

Levels of Measurement

Categorical Variables

 A nominal scale classifies data into distinct categories in which no ranking is implied.

Categorical Variables Categories

Personal Computer

Ownership

Type of Stocks Owned

Internet Provider

Yes / No

Growth Value Other

Microsoft Network / AOL

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-14

Levels of Measurement

Categorical Variables

 An ordinal scale classifies data into distinct categories in which ranking is implied

Categorical Variable Ordered Categories

Student class designation

Product satisfaction

Freshman, Sophomore, Junior,

Senior

Satisfied, Neutral, Unsatisfied

Faculty rank

Standard & Poor’s bond ratings

Student Grades

Professor, Associate Professor,

Assistant Professor, Instructor

AAA, AA, A, BBB, BB, B, CCC, CC,

C, DDD, DD, D

A, B, C, D, F

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-15

Levels of Measurement

Numerical Variables

 An interval scale is an ordered scale in which the difference between measurements is a meaningful quantity but the measurements do not have a true zero point.

 A ratio scale is an ordered scale in which the difference between the measurements is a meaningful quantity and the measurements have a true zero point.

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-16

Interval and Ratio Scales

Numerical Variables

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-17

Example Data

Subject Name Height Income

1 Mary

2 John

3 Jill

62

72

64

10,350

30,500

35,600

4 Donna 59 20,700

5 Sam 73 15,300

6 Bill 70 52,800

7 Mario 71 19,400

8 Carol 73 12,500

9 Betty 70 30,200

10 Linda 68 22,700

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Gender Eye color

Female

Male

Female

Blue

Brown

Green

Female

Male

Male

Male

Brown

Blue

Black

Blue

Female

Female

Female

Brown

Brown

Brown

Chap 1-18

Data in Frequency

Distributions

Height

Category Frequency

>54 to

60 1

>60 to

66

>66 to

72

2

5

>72 to

78 2

Income

Category Frequency

20K 4

>20K to

50K 5

> 50K 1

Female

Male

Gender

Category Frequency

6

4

Eye Color

Category Frequency

Black 1

Blue

Brown

Green

3

5

1

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-19

Statistical Data

 Categorical data is by nature always grouped

 Classes for categorical data are usually single valued

 Numerical Data can be gathered as grouped or converted after gathering.

 Numerical data is usually grouped for graphical presentation

 Classes for numerical data are usually a range of values

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-20

Chapter Summary

In this chapter, we have

Reviewed why a manager needs to know statistics

Introduced key definitions:

 Population vs. Sample

Primary vs. Secondary data types

Categorical vs. Numerical data

Examined descriptive vs. inferential statistics

 Reviewed data types and measurement levels

Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.

Chap 1-21