Determine Whether the Samples Are Independent or Dependent Use a 010 Significance Level to Test the Claim That the Mean

question 26

Essay

Determine whether the samples are independent or dependent.
-A researcher was interested in comparing the GPAs of students at two different colleges. Independent random
samples of 8 students from college A and 13 students from college B yielded the following GPAs: $$\begin{array} { | c | c c | } \hline \text { College A } & { \text { College B } } \\\hline 3.7 & 3.8 & 2.8 \\3.2 & 3.2 & 4.0 \\3.0 & 3.0 & 3.6 \\2.5 & 3.9 & 2.6 \\2.7 & 3.8 & 4.0 \\3.6 & 2.5 & 3.6 \\2.8 & 3.9 \\3.4 & \\\hline\end{array}$$ Use a 0.10 significance level to test the claim that the mean GPA of students at college A is different from the
mean GPA of students at college B. Use the P-value method of hypothesis testing. $$\text { (Note: } \left. \bar { x } _ { 1 } = 3.1125 , \bar { x } _ { 2 } = 3.4385 , \mathrm {~s} _ { 1 } = 0.4357 , \mathrm {~s} _ { 2 } = 0.5485 . \right)$$

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Definitions:

Trapezius

A large, triangular muscle extending over the back of the neck and shoulders, involved in moving, rotating, and stabilizing the scapula and extending the neck.

Scapula

A flat, triangular bone located in the upper back, commonly known as the shoulder blade, that connects the humerus with the clavicle.

Latissimus Dorsi

A large, flat muscle on the back that helps in movement of the shoulders, stabilizes the spine, and assists in breathing.

Pectoralis Major

A large muscle in the upper chest that contributes to the movement of the shoulder and the arm.