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Chapter 10

# Chapter 10 - Chapter 10 Introduction to Inference 1 A 95...

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Chapter 10: Introduction to Inference 1. A 95% confidence interval for the mean µ of a population is computed from a random sample and found to be 9 ± 3. We may conclude A) that there is a 95% probability that µ is between 6 and 12. B) that there is a 95% probability that the true mean is 9 and there is a 95% chance that the true margin of error is 3. C) that if we took many, many additional random samples and from each computed a 95% confidence interval for µ , approximately 95% of these intervals would contain µ . D) all of the above. Ans: C Section: 10.1 Estimating with Confidence 2. The records of all 100 postal employees at a postal station in a large city showed that the average amount of time these employees had worked for the U.S. Postal Service was J = 8 years. Assume that we know that the standard deviation of the amount of time U.S. Postal Service employees have spent with the Postal Service is approximately normal with standard deviation σ = 5 years. A 95% confidence interval for the mean time µ the population of U.S. Postal Service employees has spent with the postal service based on these data is Page 125

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Chapter 10: Introduction to Inference 3. The scores of a certain population on the Wechsler Intelligence Scale for Children (WISC) are thought to be normally distributed with mean µ and standard deviation σ = 10. A simple random sample of 10 children from this population is taken, and each is given the WISC. The 95% confidence interval 10 1.96 10 x ± for µ is computed from these scores. A histogram of the 10 WISC scores is given below. Based on this histogram, we would conclude that 4. A 90% confidence interval for the mean µ of a population is computed from a random sample and is found to be 9 ± 3. Which of the following could be the 95% confidence interval based on the same data? Page 126
Chapter 10: Introduction to Inference

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Chapter 10 - Chapter 10 Introduction to Inference 1 A 95...

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