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 35

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:

Inflammation

A biological response of body tissues to harmful stimuli, such as pathogens, damaged cells, or irritants, characterized by redness, swelling, heat, and pain.

Nausea

A feeling of discomfort in the stomach often accompanied by an urge to vomit, which can have various causes, including illness and treatment side effects.

Vomiting

the forceful expulsion of the contents of the stomach through the mouth, often as a result of illness or intoxication.

Chronic Glomerular Nephritis

A long-term inflammation of the tiny filters in the kidneys (glomeruli), which can lead to kidney failure.