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Business Statistics Chapter 1 Introduction and Data Collection Chap 1-1 Learning Objectives In this chapter you learn: How Statistics is used in business The sources of data used in business The types of data used in business Chap 1-2 Basic Concepts of Statistics Statistics is concerned with: Processing and analyzing data Collecting, presenting, and transforming data to assist decision makers Chap 1-3 Key Definitions A population (universe) is the collection of all members of a group A sample is a portion of the population selected for analysis A parameter is a numerical measure that describes a characteristic of a population A statistic is a numerical measure that describes a characteristic of a sample Chap 1-4 Population vs. Sample Population a b Sample cd b ef gh i jk l m n o p q rs t u v w x y z Measures used to describe a population are called parameters c gi o n r u y Measures computed from sample data are called statistics Chap 1-5 Two Branches of Statistics Descriptive statistics Collecting, summarizing, and presenting data Inferential statistics Drawing conclusions about a population based only on sample data Chap 1-6 Descriptive Statistics Collect data Present data e.g., Survey e.g., Tables and graphs Characterize data X e.g., Sample mean = i n Chap 1-7 Inferential Statistics Estimation e.g., Estimate the population mean weight using the sample mean weight Hypothesis testing e.g., Test the claim that the population mean weight is 120 pounds Drawing conclusions about a population based on sample results. Chap 1-8 Collecting Data Primary Secondary Data Collection Data Compilation Print or Electronic Observation Survey Experimentation Chap 1-9 Types of Data Data Categorical Numerical Examples: Marital Status Political Party Eye Color (Defined categories) Discrete Examples: Number of Children Defects per hour (Counted items) Continuous Examples: Weight Voltage (Measured characteristics) Chap 1-10 Levels of Measurement and Measurement Scales Differences between measurements, true zero exists Ratio Data Differences between measurements but no true zero Interval Data Highest Level (Strongest forms of measurement) Higher Levels Ordered Categories (rankings, order, or scaling) Categories (no ordering or direction) Ordinal Data Nominal Data Lowest Level (Weakest form of measurement) Levels of Measurement and Measurement Scales EXAMPLES: Differences between measurements, true zero exists Height, Age, Weekly Food Spending Interval Data Differences between measurements but no true zero Temperature in Fahrenheit, Standardized exam score Ordinal Data Ordered Categories (rankings, order, or scaling) Nominal Data Categories (no ordering or direction) Ratio Data Service quality rating, Standard & Poor’s bond rating, Student letter grades Marital status, Type of car owned Chapter Summary Reviewed basic concepts of statistics: Population vs. Sample Parameter vs. Statistic Primary vs. Secondary data sources Defined descriptive vs. inferential statistics Reviewed types of data and measurement scales Categorical vs. Numerical data Discrete vs. Continuous data Nominal and Ordinal scales Interval and Ratio scales Chap 1-13