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STAT 2303 Lecture 8: 9/15

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15 Sep 2016

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University of Arkansas

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Introductory Statistics

OER Edition, 2013

ISBN: 9781938168208

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Z Test & T Test: Similarities & Differences

1. Z-test is a statistical hypothesis test that follows a normal distribution while T-test follows a Student’s T-distribution.
2. A T-test is appropriate when you are handling small samples (n < 30) while a Z-test is appropriate when you are handling moderate to large samples (n > 30).
3. T-test is more adaptable than Z-test since Z-test will often require certain conditions to be reliable. Additionally, T-test has many methods that will suit any need.
4. T-tests are more commonly used than Z-tests.
5. Z-tests are preferred than T-tests when standard deviations are known.

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(5) Using the definition of the derivative show that the function f(T) = 1-12 4 2 if i<1 if I > 1. is not differentiable at x = 1.