Let assume that x ̅ ~ N (50, 2) and x ~ N (50, 20),which of the two distributions above will have a narrower spread and why? 1.The population distribution because its standard deviation (2) is smaller than the other (20). 2.Both are same spread because their standard deviations are 50. 3.Both are same spread because their means are 50. 4.The sampling distribution because its standard deviation (2) is smaller than the other (20).

The objective of the question is to determine which of the two normal distributions, x ~ N (50, 2)…

Answered: Let assume that x ̅ ~ N (50, 2) and x…

12th Edition

ISBN:9781259929434

Author:William Nickels

Publisher:William Nickels

Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment

Section: Chapter Questions

Problem 1CE

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Let assume that x ̅ ~ N (50, 2) and x ~ N (50, 20),

which of the two distributions above will have a narrower spread and why?

	1.	The population distribution because its standard deviation (2) is smaller than the other (20).
	2.	Both are same spread because their standard deviations are 50.
	3.	Both are same spread because their means are 50.
	4.	The sampling distribution because its standard deviation (2) is smaller than the other (20).