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Attempts: Average: /10 ttestion Due th a bug in Googe Chrome. this page may not fuactioo correety Chcs heme learo 9. The t test for two independent samples - Two-tailed example Aa Aa Bullying, according to noted expert Dan Olweus, poisons the educational environment and a every child. Bullying and victimization are evident as early as preschool, with the problem peaking Suppose you are interested in the emotional well-being of not only the victims but also bystanders, bullies, and those who bully but who are also victims (bully-victims). You decide to measure anxiety in a group of bullies bystanders using a 26-item, 3-point anxie that the variances of the anxiety scores are the same among bullies and bystanders. Olweus, poisons the educational environment and affects the learning of in middle school and a group of ty scale. Assume scores on the anxiety scale are normally distributed and The group of 25 bullies scored an average of 25.3 with a sample standard deviation of 9 on the anxiety scale. The group of 23 bystanders scored an average of 20.5 with a sample standard deviation of 8 on the same scale. You do not have any presupposed assumptions about whether bullies or bystanders will be more anxious, so you formulate the null and alternative hypotheses as: Ho: Pbuilies Hbystanders0 H1: Hbulles Hbystancers Q You conduct an independent-measures t test. Given your null and alternative hypotheses, this is a test. To use the Distributions tool to find the critical region, you first need to set the degrees of freedom. The degrees of freedom is

You conduct an independent-measures t test. Given your null and alternative hypotheses, this is a test. To use the Distributions tool to find the critical region, you first need to set the degrees of freedom. The degrees of freedom is t Distribution Degrees of Freedom -58 4.0 0.0 1.0 2.0 3.0 4.0 3.0 -2.0 1.0 The critical t-scores that form the boundaries of the critical region for α-0.01 are o calculate the t statistic, you first need to calculate the standard error under the assumption that the null sis is true. In order to calculate the standard error, you first need to calculate the pooled variance. The pooled In order t variance is s2- The standard error is S(M1-M2) The t statistic is

-4.0 3.0 2.0 1.0 0.0 1.0 2.0 3.0 4.0 The critical t-scores that form the boundaries of the critical region for a 0.01 are t In order to calculate the t statistic, you first need to calculate the standard error under the a hypothesis is true. In order to calculate the standard error, you first need to calculate the pooled variance. The pooled variance is s ssumption that the null The standard error is s(M1-M2) The t statistic is The t statistic in the critical region. Therefore, the null hypothesis is You conclude that bullies have a different mean anxiety score than bystanders. Thus, it can be said that these two means are different from one another.

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