What is the meaning of x ̅ ~ N (50, 2)? 1.The Sampling distribution is distributed normally with a mean of 50 and a standard deviation of 2 2.Sampling distribution of x is distributed normally with a mean of 2 and a standard deviation of 50 3.x is normally distributed with a mean of 50 and a standard deviation of 2 4.x-bar is normally distributed with a mean of 2 and a standard deviation of 50

The notation x ̅ ~ N (50, 2) is used in statistics to denote a specific type of distribution. Here,…

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Understanding Business

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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What is the meaning of x ̅ ~ N (50, 2)?

	1.	The Sampling distribution is distributed normally with a mean of 50 and a standard deviation of 2
	2.	Sampling distribution of x is distributed normally with a mean of 2 and a standard deviation of 50
	3.	x is normally distributed with a mean of 50 and a standard deviation of 2
	4.	x-bar is normally distributed with a mean of 2 and a standard deviation of 50

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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