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Exam 3 Lecture Review fall 2009 overheads R

# Exam 3 Lecture Review fall 2009 overheads R - Lecture...

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Lecture Review for Exam 3 Overheads 1. Using 16 measurements (in millimeters) of a critical dimension on a random sample of auto engine crankshafts from a Normally distributed population, we obtained the following 95% confidence interval estimate for μ : (223.97, 224.03) a. What are the simple conditions for this confidence interval for μ ? b. What is the population about which we want to make an inference? c. What is the parameter we estimated with this confidence interval? d. Using the information in parts b and c, interpret the confidence interval for μ in context. e. The following are true/false statements about this interval: i. This interval tells us that reasonable values for μ are all numbers between 223.97 and 224.03. ii. We are 95% confident that the value of the sample mean of the 16 measurements will be in the interval, (223.97, 224.03). iii. 95% of the time, when sampling crankshafts from this process, we will get the confidence interval, (223.97, 224.03). iv. 95% of all possible crankshaft measurements will be in the interval, (223.97, 224.03). v. The probability that the value for μ is in this 95% confidence interval, (223.97, 224.03), is 0.95. vi. 95% confidence means that 95% of the time, we will get the value of μ in this confidence interval, (223.97, 224.03). vii. 95% confidence means that 95% of all possible random samples of 16 crankshafts will yield 95% confidence intervals for μ that actually contain the value of μ . viii. 95% confidence means that using this 95% confidence interval procedure for μ , we will obtain confidence intervals that actually contain the value of μ for 95% of all such intervals. ix. We are 95% confident that the value of x is in the interval, (223.97, 224.03).

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2. Referring to 16 crankshaft measurements described in question 1, the process mean is supposed to be μ = 224. The sample standard deviation is s = 0.060 mm.
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Exam 3 Lecture Review fall 2009 overheads R - Lecture...

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