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Home Question Bank Math Statistics Archive 2024 November 05

Statistics Questions from Nov 05,2024

Browse the Statistics Q&A Archive for Nov 05,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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In what way is a matched pairs analysis with two measurements on each individual considered a one-sample t procedure? Because one-sample of differences is analyzed, not the actual measurements. Because the two measurements are added to get one measurement for each pair of individuals. When performing an experiment with two measurements on each individual, how is randomization implemented? randomizing the order in which each individual receives the two treatments randomly assigning the paired individuals to the two treatments within each pair randomly selecting the individuals for the study randomly allocating individuals to the two treatments True or false: To analyze matched pairs data we always compute the mean and standard deviation of the differences. true false When performing an experiment with paired individuals, how is randomization implemented? randomizing the order in which each individual receives the two treatments randomly assigning the paired individuals to the two treatments within each pair randomly selecting the paired individuals randomly allocating pairs of individuals to treatments True or false: The most common use of a one-sample \( t \) procedure is to analyze matched pairs data. true false True or false: We must always use a \( t \) distribution whenever we use \( s \) to estimate \( \sigma \). true false Why is a \( t \) distribution with 5 degrees of freedom more spread out than the standard Normal distribution? because \( \bar{x} \) has less error than \( \mu \) to compensate for using \( s \) to estimate \( \sigma \) because it is more precise than the standard Normal distribution Fill in the blank: A \( t \) distribution with 5 degrees of freedom is_a \( t \) distribution with 14 degrees of freedom. less spread out than has the same spread as is more spread out than True or false: As degrees of freedom increase, \( t \) density curves get closer to the standard Normal curve. false true True or false: A \( t \) distribution with 3 degrees of freedom has a smaller spread than the standard Normal distribution. true false
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