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# A partial table of tdistribution critical values is

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Unformatted text preview: as ! ± ! . Similar to the standard normal distribution critical values, the proportion of the T ­distribution contained between the critical value, !! and its opposite, is equal to the level of confidence. The T ­distribution varies with degrees of freedom, so T critical values depend on both the level of confidence and degrees of freedom. A partial table of T ­distribution critical values is given on the next page. Using the table, or technology, it is possible to find T ­critical values for various combinations of confidence levels and degrees of freedom. TRY THESE Answer the following questions using the margin of error formula and the T ­distribution table below: 1 For a given confidence level, as the degrees of freedom increase, what happens to the critical values? 2 For a given confidence level, as the degrees of freedom increase, what happens to the margins of error in the confidence intervals? 3 Larger degrees of freedom result from larger sample sizes. What does this imply about the relationship between sample size and precision of...
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