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QBA 260 Chapter 1 Chapter 1 Topics Samples and Populations Types of Data Variables – Independent and Dependent Probability Hypothesis Testing Types of Error Intro to Excel Samples and Populations Why do we sample? Examples of sampling What does “inferential statistics” mean? Terms: Population – Parameters Sample - Statistics Types of Data Nominal Ordinal Interval Ratio Variables Variable = something that can take on more than one value Independent → Dependent Examples Probability Probability = the chance of something happening Probability = (number of ways the event can occur)/(total number of possible events) What is the probability of getting a “head” if you flip a coin? What is the probability of getting 2 fours if you roll two dice? Conditional Probability – the chance of something happening given some condition Hypothesis Testing Null Hypothesis (H0) – our machine is working correctly Alternative Hypothesis (H1) – our machine is not working correctly Choices: to reject H0 or not to reject H0 Hypothesis Testing – Another Example Let’s say there are 3 different teaching methods for a particular college course: Full in-class Full on-line Combination of in-class and on-line Null Hypothesis (H0) – Full in-class teaching is the best teaching method Alternative Hypothesis (H1) – Full in-class teaching is not the best teaching method Choices: If you reject H0 then you know that full in-class teaching is not the best method but you still do not know which of the other two methods is better Two types of Error Type 1 Error – when you reject H0 and you should not have (example: you rejected the hypothesis that the machine was working correctly and brought in the repair crew to fix it; however, the machine was working correctly to begin with) Type II Error – when you do not reject H0 and you should have (example: you did not reject the null hypothesis and assumed the machine was working correctly when it really was not) Chapter 1 Switch to Excel