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# estimation.docx

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Department
Statistics
Course Code
STATS 2B03
Professor
Aaron Childs

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October 3 , 2012 Stats 2B03: Statistical Methods for Science Estimation 5.3 Distribution of the Sample Mean - Example: 0.87, -1.31 = .8078 – (1 - .9049) = .7127 6.2 Confidence Intervals for μ with σ known or n≥30 - Recall that μ and σ are the average (mean) and standard deviation, respectively, of the population - E.g. μ = average duration of relief of a pain reliever - A confidence interval (c.i) for μ is a range of values used to estimate μ, based on a sample. The confidence level is the probability that the interval will actually contain μ. - Note that μ is unknown in practice - Result: if n≥30 then a 100(1-α)% c.i. for μ is Xavg ⁄ √ . If σ is unknown, then it can be replaced by S. if the population is normal and σ is known, then the above interval can be used for any sample size - Example: suppose 35 students write test #1 early, and for these students X avg, S=15.32. find a 95% c.i. for the class average on test #1. Use α=.05 so tha
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