Business Statistics: Data Collection, Sampling, and Slovin's Formula, Essays (high school) of Business

An introduction to business statistics, focusing on data collection, sampling, and Slovin's formula for calculating sample sizes. It covers the importance of data collection, sources of data, types of variables, and the concept of a confidence interval. Slovin's formula is introduced as a method for determining an appropriate sample size when little is known about the population.

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2019/2020

Uploaded on 04/18/2022

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BUSINESS STATISTICS Midterm
ENGR. PHIL A. ZAFE, MBA
Basic of Statistics
DATA COLLECTION AND SAMPLING
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
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 the 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.
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.
Sources of data fall into four categories
Data distributed by an organization or an individual
A designed experiment
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Please read and understand this module...
Note: Distribution of this module without the authorization of the author is not allowed.
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ENGR. PHIL A. ZAFE, MBA

Basic of Statistics

DATA COLLECTION AND SAMPLING

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 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 the 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. 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. Sources of data fall into four categories  Data distributed by an organization or an individual  A designed experiment 1 Please read and understand this module...

ENGR. PHIL A. ZAFE, MBA  A survey  An observational study 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 is a way of looking at a population's behavior by taking a sample. It is impossible to survey every member of a population because of money or time.

  1. Determine the population size (if known).
  2. Determine the confidence interval.
  3. Determine the confidence level.
  4. Determine the standard deviation (a standard deviation of 0.5 is a safe choice where the figure is unknown)
  5. Convert the confidence level into a Z-Score What is Slovin’s Formula? Slovins’s formula is used to calculate an appropriate sample size from a population. About sampling Statistics is a way of looking at a population’s behavior by taking a sample. It’s usually impossible to survey every member of a population because of money or time. For example, let’s say you wanted to know how many people in the USA were vegetarians. Think about how long it would take you to call over 300 million people; Assuming they all had phones and could speak!. The problems with surveying entire populations are why researchers survey just a fraction of the population: a sample. The problem with taking a sample of the population is sample size. Obviously, if you asked just one person in the population if they were vegetarian then their answer wouldn’t be representative of everyone. But would 100 people be sufficient? 1000? Ten thousand? How you figure out a big enough sample size involves applying a 2 Please read and understand this module...

ENGR. PHIL A. ZAFE, MBA Step 1: Figure out what you want your confidence level to be. For example, you might want a confidence level of 95 percent (giving you an alpha level of 0.05), or you might need better accuracy at the 98 percent confidence level (alpha level of 0.02). Step 2. Plug your data into the formula. In this example, we’ll use a 95 percent confidence level with a population size of 1,000.  n = N / (1 + N e^2 ) =  1,000 / (1 + 1000 * 0.05 2 ) = 285. Step 3: Round your answer to a whole number (because you can’t sample a fraction of a person or thing!)  285.714286 = 286 The error tolerance, e, can be given to you (for example, in a question). For example, if you wanted to be 98 percent confident that your data was going to be reflective of the entire population then:  1 – 0.98 = 0.02.  e = 0.02. 4 Please read and understand this module...

ENGR. PHIL A. ZAFE, MBA Computing for Growth Rate :; Present Population – Past Population Population Growth Rate = -------------------------------------------------------- x 100 Present Population Sum of the Total Number of Samples (Population/Households) Average Population/Sample = -------------------------------------------------------------------------------------------- Number of Samples Please read and understand the module. This will be the coverage of your Prelims Exam. Keep safe and Goodluck!!! . NOTE: Uploaded filename should be SURNAME_____ Subject____Date of quiz; Sample CruzBusStat Not following instruction mean failed. No late submission. "No copying/ No cheating" if you do not want to failed. 5 Please read and understand this module...