Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. A researcher was...


Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.


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


3.7


3.2


3.0


2.5


2.7


3.6


2.8


3.4














College B


3.8


3.2


3.0


3.9


3.8


2.5


3.9


2.8


4.0


3.6


2.6


4.0


3.6






Construct a​ 95% confidence interval for
μ1−μ2,

the difference between the mean GPA of college A students and the mean GPA of college B students. Round to two decimal places.

​(Note:
x1=​3.1125,

x2=​3.4385,

s1=​0.4357

s2=0.5485



Jun 07, 2022
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