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 80

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:

Belly Side

The front part of the human body or the surface of an animal's body that contains the stomach.

Cilia

Hair-like structures on the surface of cells that move in wave-like motions, aiding in transport and movement.

Epithelial Cells

Cells that line the surfaces of the body, including skin, blood vessels, organs, and cavities.

Stem Cells

Undifferentiated biological cells that can differentiate into specialized cells and divide to produce more stem cells.