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Ch. 14 part 1

# Ch. 14 part 1 - STAT 2053 Elementary Statistics Chapter 14...

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Click to edit Master subtitle style 9/23/11 STAT 2053 – Elementary Statistics Chapter 14 – Introduction to Inference

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9/23/11 Inference We have learned several different properties of data and different rules of probability. We can now use these properties to make conclusions about different populations. 22 Chapter 14
9/23/11 Inference Definition : Statistical Inference provides methods for making conclusions about a population based on sample data. In other words, we use the data we’ve collected to infer something about the population we took it from. 33 Chapter 14

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9/23/11 Inference Why? In class, I’ve given you all the parameters you need for each distribution (Normal, Binomial, etc.). In practice, you very rarely know any of these parameters, so we must infer something about these parameters based on the data we have. 44 Chapter 14
9/23/11 BPS - 5th Ed. Chapter 14 55 In this chapter, we’re going to assume the following 3 things to make inferences on the population mean, μ: 1. SRS from the population of interest 2. Variable has a Normal distribution N ( m , s ) in the population 3. Although the value of m is unknown, the value of the population standard deviation s is known Inference about a Mean Simple Conditions

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9/23/11 Inference We’re going to cover two inference methods: Confidence Intervals Tests of Significance (or Hypothesis Tests) Both use the sampling distributions of statistics (such as ), and we use probability to say how trustworthy our 66 x Chapter 14
9/23/11 Confidence Intervals Confidence intervals narrow down the possible values our parameter can take. Example (Page 360) : In a sample of 654 women, the average BMI was = 26.8. We want to estimate the true average BMI for all women in this age group. To match our assumptions, we’ll assume 77 x Chapter 14

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Confidence Intervals Example: We will use to estimate μ. is not going to be exactly equal to μ, but we can use it’s sampling distribution to see how close it is. Since we have 654 observations, the
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Ch. 14 part 1 - STAT 2053 Elementary Statistics Chapter 14...

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