Bottles of a soft drink are filled by machine and the net content of a bottle has a normal distribution with mean µ liters and standard deviation σ = 0.07 liters. A random sample of 49 bottles and the sample average content is 2.02 liters. An analyst wishes to test H0 : µ = 2 against H1 : µ /= 2. I f α = 0.05, which of the following statements is correct? p-value = 0.05 and we fail to reject H0 p-value = 0.05 and we fail to reject H0 p-value = 0.0228 and we reject H0 p-value = 0.0456 and we reject H0

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Description: Bottles of a soft drink are filled by machine and the net content of a bottle has a normal distribution with mean µ liters and standard deviation σ = 0.07 liters. A random sample of 49 bottles and the sample average content is 2.02 liters. An analys

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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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Bottles of a soft drink are filled by machine and the net content of a bottle has a normal distribution with mean µ liters and standard deviation σ = 0.07 liters. A random sample of 49 bottles and the sample average content is 2.02 liters. An analyst wishes to test H0 : µ = 2 against H1 : µ /= 2. I f α = 0.05, which of the following statements is correct?

		p-value = 0.05 and we fail to reject H0
		p-value = 0.05 and we fail to reject H0
		p-value = 0.0228 and we reject H0
		p-value = 0.0456 and we reject H0

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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