Solved

State What the Given Confidence Interval Suggests About the Two

Question 130

Multiple Choice

State what the given confidence interval suggests about the two population means.
-A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following GPAs.  College A  College B 3.73.82.83.23.24.03.03.03.62.53.92.62.73.84.03.62.53.62.83.93.4\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} Construct a 95% confidence interval for the difference between the mean GPA of college A students and the
Mean GPA of college B students. (Note: xˉ1=3.1125,xˉ2=3.4385,s1=0.4357, s2=0.5485\bar { x } _ { 1 } = 3.1125 , \bar { x } _ { 2 } = 3.4385 , s _ { 1 } = 0.4357 , \mathrm {~s} _ { 2 } = 0.5485 .)


A) 0.91<μ1μ2<0.25- 0.91 < \mu _ { 1 } - \mu _ { 2 } < 0.25
B) 0.65<μ1μ2<0.01- 0.65 < \mu _ { 1 } - \mu _ { 2 } < - 0.01
C) 0.81<μ1μ2<0.15- 0.81 < \mu _ { 1 } - \mu _ { 2 } < 0.15
D) 0.72<μ1μ2<0.07- 0.72 < \mu _ { 1 } - \mu _ { 2 } < 0.07

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Unlock this Answer For Free Now!

View this answer and more for free by performing one of the following actions

qr-code

Scan the QR code to install the App and get 2 free unlocks

upload documents

Unlock quizzes for free by uploading documents