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 DataGroupFitnessSample sizeAverageStandard deviation1Low144.60.692High146.40.43Assuming 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

Given : For group 1 Sample size : n1=14 Sample mean : x¯1=4.6 Sample standard deviation : s1=0.69…

Answered: Twenty-eight college faculty at Acme…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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