Twenty-eight college faculty at Acme Looniversity who volunteered for a fitness program were divided into low-fitness and high-fitness groups based on a physical examination. The subjects then took a Personality Factor Questionnaire. Below are the data for the "ego strength" measurement based on the questionnaire. Acme Looniversity Data Group Fitness Sample size Average Standard deviation 1 Low 14 4.6 0.69 2 High 14 6.4 0.43 Assuming the data for Group 1 and 2 are independent of each other and are both normally distributed, compute a 90% confidence interval for the difference between the two means. Round your answer to 3 decimal places. What conclusion can you draw? Group of answer choices (-2.173,-1.427), Group 1 is bigger (-1.923,-1.677), Group 2 is bigger (-2.173,-1.427), Group 2 is bigger (-1.923,-1.677), no conclusion (-1.923,-1.677), Group 1 is bigger

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
icon
Related questions
Question

Twenty-eight college faculty at Acme Looniversity who volunteered for a fitness program were divided into low-fitness and high-fitness groups based on a physical examination. The subjects then took a Personality Factor Questionnaire. Below are the data for the "ego strength" measurement based on the questionnaire.

Acme Looniversity Data
Group Fitness Sample size Average Standard deviation
1 Low 14 4.6 0.69
2 High 14 6.4 0.43

Assuming the data for Group 1 and 2 are independent of each other and are both normally distributed, compute a 90% confidence interval for the difference between the two means. Round your answer to 3 decimal places. What conclusion can you draw?

Group of answer choices
(-2.173,-1.427), Group 1 is bigger
(-1.923,-1.677), Group 2 is bigger
(-2.173,-1.427), Group 2 is bigger
(-1.923,-1.677), no conclusion
(-1.923,-1.677), Group 1 is bigger
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning