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6 what does this imply about the relationship between

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Unformatted text preview: the confidence interval? © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING A PATHWAY THROUGH STATISTICS, VERSION 1.6, STATWAY™  ­ STUDENT HANDOUT STATWAY™ STUDENT HANDOUT | 3 Lesson 10.2.2 Confidence Intervals for a Population Mean 4 For a given degrees of freedom, as the confidence level increases, what happens to the critical values? 5 For a given degrees of freedom, as the confidence level increases, what happens to the margins of error in the confidence intervals? 6 What does this imply about the relationship between confidence level and precision of the confidence interval? Critical Values for the T ­Distribution df 1 2 3 4 5 … 9 10 11 12 13 14 15 16 …. 90% 6.31 2.92 2.35 2.13 2.02 … 1.83 1.81 1.80 1.78 1.77 1.76 1.75 1.75 … Confidence Level 95% 98% 12.71 31.82 4.30 6.97 3.18 4.54 2.78 3.75 2.57 3.37 … … 2.26 2.82 2.23 2.76 2.20 2.72 2.18 2.68 2.16 2.65 2.15 2.62 2.13 2.60 2.12 2.58 … … 99% 63.66 9.93 5.84 4.60 4.03 … 3.25 3.17 3.11 3.06 3.01...
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This document was uploaded on 03/13/2014 for the course MATH 75 at Skyline College.

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