Use the Data Given Below to Verify That the T $$\begin{array} { c | c } \mathrm { A } & \mathrm { B } \\\hline 10 & 19 \\29 & 18 \\11 & 27 \\19 & 30 \\15 & 18 \\16 & 21\end{array}$$

question 39

Essay

Use the data given below to verify that the t test for independent samples and the ANOVA method are equivalent. $$\begin{array} { c | c } \mathrm { A } & \mathrm { B } \\\hline 10 & 19 \\29 & 18 \\11 & 27 \\19 & 30 \\15 & 18 \\16 & 21\end{array}$$ i)Use a t test with a 0.05 significance level to test the claim that the two samples come from populations with the same means. ii)Use the ANOVA method with a 0.05 significance level to test the same claim. iii)Verify that the squares of the t test statistic and the critical value are equal to the F test statistic and critical value.

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Definitions:

Lack Objectivity

The absence of neutrality or impartiality in evaluation or judgment.

Overinvolved

Overinvolved describes a situation or condition where one becomes excessively engaged or engrossed in something, potentially to the detriment of other responsibilities or relationships.

Therapeutic Bind

A situation in therapy where clients are presented with a dilemma or conflict by their therapist as a means of promoting insight or change.

Self-defeating Behaviors

Actions or patterns of behavior that undermine one’s own goals, desires, or well-being, often occurring subconsciously.