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Exam 3 Lecture Review fall 2009 with answers R

# Exam 3 Lecture Review fall 2009 with answers R - Lecture...

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Lecture Review for Exam 3 with answers 1. Using16 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 ? SRS, Normal population b. What is the population about which we want to make an inference? All auto engine crankshafts c. What is the parameter we estimated with this confidence interval? The mean critical dimension of all auto engine crankshafts d. Using the information in parts b and c, interpret the confidence interval for μ in context. We are 95% confident that the mean critical dimension of all auto engine crankshafts is between 223.97 mm and 224.03 mm. 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. True 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). False iii. 95% of the time, when sampling crankshafts from this process, we will get the confidence interval, (223.97, 224.03). False iv. 95% of all possible crankshaft measurements will be in the interval, (223.97, 224.03). False v. The probability that the value for μ is in this 95% confidence interval, (223.97, 224.03), is 0.95. False vi. 95% confidence means that 95% of the time, we will get the value of μ in this confidence interval, (223.97, 224.03). False 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 . True 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 such intervals.

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