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The correct statements about thet-distributionare:B. Its shape is symmetric.C. Its dispersion is based on degrees of freedom.Statement A is incorrect because the mean of the t-distribution is not necessarily zero, and statement D is incorrect as a result. Options B and C are the correct choicesThe correct statement(s) about the t-distribution are:B. Its shape is symmetric.C. Its dispersion is based on degrees of freedom.Statement B is correct because the t-distribution issymmetricin shape, much like the standard normal distribution, which means it has a bell-shaped curve that is centered around its mean.Statement C is also correct. The dispersion or the spread of the t-distribution is determined by the degrees of freedom (df). As df increases, the t-distribution approaches the shape of a normal (Gaussian) distribution with a mean of zero and a standarddeviationof one. Lower df values result in a wider and more variable t-distribution.Statement A is incorrect. The mean of the t-distribution is not necessarily zero; it depends on the specific degrees of freedom. The mean is zero only when df is infinite (approaching a standard normal distribution), but for finite df, themeanis not zero. Therefore, statement D, "All apply," is also incorrect. Options B and C are the correct choices.For more such questions ont-distribution:brainly.com/question/32696998#SPJ1Que. Which statement(s) is/are correct about the t distribution?A. The mean is zero.B. Its shape is symmetric.C. Its dispersion is based on degrees of freedom.D. All apply....