The following data comparing GPAs based on seating position is provided: ROUND TO FOUR DECIMAL PLACES Position Front of Room Back of Room Sample Size 52 47 Average GPA 3.24 2.97 Population Standard Deviation .57 .49 a. What is the 98% confidence interval for the difference in GPAsbetween people who sit in the front of the room and the back of the room? b. What is the test statistic for testing to see if there is a significant difference in GPAs between front of the room or back of the room seating?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following data comparing GPAs based on seating position is provided:
ROUND TO FOUR DECIMAL PLACES

Position

Front of Room

Back of Room

Sample Size

52

47

Average GPA

3.24

2.97

Population Standard Deviation

.57

.49

a. What is the 98% confidence interval for the difference in GPAsbetween people who sit in the front of the room and the back of the room?
b. What is the test statistic for testing to see if there is a significant difference in GPAs between front of the room or back of the room seating?
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