Use the Data Given Below to Verify That the T $$\begin{array} { c | c } \mathrm { A } & \mathrm { B } \\\hline 85 & 74 \\81 & 72 \\73 & 65 \\91 & 83 \\64 & 59\end{array}$$

question 100

Essay

Use the data given below to verify that the t test for independent samples and the ANOVA method are
equivalent. $$\begin{array} { c | c } \mathrm { A } & \mathrm { B } \\\hline 85 & 74 \\81 & 72 \\73 & 65 \\91 & 83 \\64 & 59\end{array}$$ 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:

Pick on Others

The act of singling out someone for criticism, bullying, or harassment.

Thanatos

In psychoanalytic theory, the death instinct, which is believed to drive destructive behaviors and thoughts.

Death Instinct

Death Instinct is a concept in psychoanalytic theory introduced by Sigmund Freud that suggests an unconscious drive in living beings toward death, destruction, and a return to the inorganic state of matter.

Destructive

Inflicting severe and irreversible damage or harm.