4. For each of the states, use the summary statistics and find the P(x<=11) using z-statistics. Assume the underlying data is normally distributed. Mean8.413793Standard Error0.393973Median8Mode9Standard Deviation2.121611Sample Variance4.501232Kurtosis1.878055Skewness0.975031Range9.5Minimum5.5Maximum15Sum244Count29

We have given that. X~N( μ , ?^2 ) μ =8.413793 , ? =2.121611 Z-score =( x - μ )/?

Answered: For each of the states, use the summary…

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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4. For each of the states, use the summary statistics and find the P(x<=11) using z-statistics. Assume the underlying data is normally distributed.

Mean	8.413793
Standard Error	0.393973
Median	8
Mode	9
Standard Deviation	2.121611
Sample Variance	4.501232
Kurtosis	1.878055
Skewness	0.975031
Range	9.5
Minimum	5.5
Maximum	15
Sum	244
Count	29

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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