What are the consequences of violating the assumptions of a t-test?

Given a test statistic of t = 3.018 of a left-tailed test with n = 13, use a 0.01 significance level to test a claim that the mean of a given population is ... 2 . In addition, the mean, variance, skewness and kurtosis of the Student's t distribution are. E(X) =. student's t-distribution. Natural Language; Math Input. Have a question about using Wolfram|Alpha?Contact Pro Premium Expert Support ». Nov 5, 2009 ... This paper proposes a new class of asymmetric Student-t (AST) distributions, and investigates its properties, gives procedures for estimation, ... Like the normal distribution, the t- distribution is symmetric. If you think about folding it in half at the mean, each side will be the same. Like a standard ... Apr 2, 2023 ... When calculating the error bound, a probability table for the Student's t-distribution can also be used to find the value of t. The table gives ... We suggest a log-normal prior as a viable prior option. We show that the Bayesian estimator based on a log-normal prior compares favorably to other Bayesian ... May 11, 2012 ... The t-distribution is very closely related to the standard normal distribution and, like the normal, is a symmetric bell-shaped distribution. Aug 28, 2020 ... The t-distribution, also known as Student's t-distribution, is a way of describing data that follow a bell curve when plotted on a graph, ... Feb 2, 2019 ... The normal distribution is a special case of Student's t t t-distribution with the ν \nu ν parameter (i.e., the degree of freedom) set to ...