From each of the two normally distributed populations, independent random samples were selected. n1 =25 from population 1 and n2 = 11 from population 2. The below table gives the means and variances for the two samples: Sample Size Mean VarianceSample 12535.48.15Sample 21130.23.47To test H0:σ21=σ22 versus H1:σ21≠σ22. At 5% level of significance, what is the decision?

From the provided information, n1=25x1=35.4s12=8.15n2=11x2=30.2s22=3.47

Answered: From each of the two normally…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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From each of the two normally distributed populations, independent random samples were selected. n1 =25 from population 1 and n2 = 11 from population 2. The below table gives the means and variances for the two samples:

	Sample Size	Mean	Variance
Sample 1	25	35.4	8.15
Sample 2	11	30.2	3.47

To test H0:σ21=σ22 versus H1:σ21≠σ22. At 5% level of significance, what is the decision?

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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