IE330_Chapter9 - Chapter 9: Homework This is a long...

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Spring 2006 IE330 This is a long chapter, and it one of the two most important chapters in the book for you to understand. The due date for this homework is February 1 st , giving you 2 weeks to do it. It is a long homework assignment, so my suggestion is to try to do problems as we get through each section. The homework has been emailed to you as a Word document attachment. It is also available on Blackboard. Chapter 9: Homework
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Spring 2006 IE330 You should be able to recall: The symbols used for the probabilities of Type 1 and Type 2 errors What information is needed to calculate power before and after data is collected When a Type 1 and when a Type 2 error can occur You should be able to accomplish: Test hypotheses on the mean of a normal distribution Test hypotheses on the variance or standard deviation of a normal distribution Test hypotheses on a population proportion Compute power (1 – β) for a sample Compute a sample size which will obtain a given power You should be able to understand: How to structure an engineering decision-making problem as a hypothesis test What a Type I error is What a Type II error is Chapter 9: Objectives
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Spring 2006 IE330 Although intervals are useful on their own, the main reason it is discussed first is because it forms the basis for hypothesis testing. Hypothesis testing is designed to answer questions such as: Is our population mean equal to 6.0 feet? Is the variance of rivet diameter equal to 0.1mm? Is the probability of having a defective rivet equal to 0.01? Chapter 9: Comparison with confidence intervals
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Spring 2006 IE330 Although intervals are useful on their own, the main reason it is discussed first is because it forms the basis for hypothesis testing. Hypothesis testing is designed to answer questions such as: Is our population mean equal to 6.0 feet? Is the variance of rivet diameter equal to 0.1mm? Is the probability of having a defective rivet equal to 0.01? Is the average GPA of the males at Purdue the same as the average GPA of the females at Purdue? This last question compares two populations – the population of males at Purdue, and the population of females at Purdue. It is important not to lose sight of the fact that what we are doing in this chapter is not substantially different from what we did in Chapter 8. We are still taking samples of populations, and using those samples to make inferences about the larger populations. This time, instead of estimating parameters of the population and identify the quality of those estimates, we are determining the likelihood of different statements about the population(s). Chapter 9: Comparison with confidence intervals
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Spring 2006 IE330 The questions we will ask are called statistical hypotheses .
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IE330_Chapter9 - Chapter 9: Homework This is a long...

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