Statistical Inference - Single Mean PDF
Document Details
Uploaded by ExceedingChrysoprase7632
Monash University
Tags
Summary
This document discusses statistical inference related to single means, focusing on confidence intervals for a mean using t-procedures when the population standard deviation is unknown. It provides formulas, conditions to check, and examples using diamonds data.
Full Transcript
Statistical Inference – Single Mean 2 Confidence Interval for Mean (unknown σ) 3 Finding t-Multiplier (Table C) Use Table C to determine t*, t-multiplier:...
Statistical Inference – Single Mean 2 Confidence Interval for Mean (unknown σ) 3 Finding t-Multiplier (Table C) Use Table C to determine t*, t-multiplier: Find the value t* for a level of confidence of 95% for a sample size of n = 8. df = n-1 = 7 t* = 2.365 * What if the degrees of freedom is NOT on the table, like df=39? => Round down to the next lowest df. 4 Diamonds Example: CI for Nitrogen Content (Moore Example Q20.13) We have a sample of 24 diamonds from the same population formed in a single event deep in the earth. (same mine) Q: What is the mean nitrogen content of the diamonds?... Plan 90% CI … Firstly, check the conditions: The data for nitrogen content is strongly skewed to the right with outliers, therefore the t procedure cannot be used. 5 Diamonds Example: CI for C13 ratio (Moore Example Q20.13 (Continued))
