Question 1 Do students in fraternities and sororities do better or worse than other students academically? A researcher takes a random sample of 31 students in fraternities and sororities and finds their average GPA to be 2.71 with standard deviation 1.40 and then 31 students not in these organizations and finds their average GPA to be 3.05 with standard deviation 1.38. Find the lower end of a 90% confidence interval for the difference (GPA of "Greek" students minus that of other students) in GPA.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Question 1
Do students in fraternities and sororities do better or worse than other students
academically?
A researcher takes a random sample of 31 students in fraternities and sororities and
finds their average GPA to be 2.71 with standard deviation 1.40 and then 31 students
not in these organizations and finds their average GPA to be 3.05 with standard
deviation 1.38.
Find the lower end of a 90% confidence interval for the difference (GPA of "Greek"
students minus that of other students) in GPA.
Transcribed Image Text:Question 1 Do students in fraternities and sororities do better or worse than other students academically? A researcher takes a random sample of 31 students in fraternities and sororities and finds their average GPA to be 2.71 with standard deviation 1.40 and then 31 students not in these organizations and finds their average GPA to be 3.05 with standard deviation 1.38. Find the lower end of a 90% confidence interval for the difference (GPA of "Greek" students minus that of other students) in GPA.
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