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:

Greater Tubercles

Projections located on the proximal end of the humerus bone, providing attachment for shoulder muscles.

Flexor Carpi Radialis

A muscle in the forearm that assists in bending the wrist towards the thumb side.

Abduct

Abduct refers to the movement of a limb or another part of the body away from the midline or another part of the body.

Flexor Carpi Ulnaris

A muscle of the forearm that flexes and adducts the hand.