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. $$\text { (Note: } \left. \bar { x } _ { 1 } = 3.1125 , \bar { x } _ { 2 } = 3.4385 , \mathrm {~s} _ { 1 } = 0.4357 , \mathrm {~s} _ { 2 } = 0.5485 . \right)$$

Question

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. $$\text { (Note: } \left. \bar { x } _ { 1 } = 3.1125 , \bar { x } _ { 2 } = 3.4385 , \mathrm {~s} _ { 1 } = 0.4357 , \mathrm {~s} _ { 2 } = 0.5485 . \right)$$

Quizplus · Accepted Answer

The Answer of 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. $$\text { (Note: } \left. \bar { x } _ { 1 } = 3.1125 , \bar { x } _ { 2 } = 3.4385 , \mathrm {~s} _ { 1 } = 0.4357 , \mathrm {~s} _ { 2 } = 0.5485 . \right)$$

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