Answered: Data set to be used with question #1:…

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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Question

Data set to be used with question #1:
6.42, 6.76, 6.56, 4.8, 8.43, 7.49, 8.05, 5.05, 5.77, 3.91, 6.77, 6.44, 6.17, 7.67, 7.34, 6.85, 5.13, 5.73
The distribution of this data set is taken from a normal distribution with some unknown mean μ and known
variance σ2=1.42.
1. Compute the point estimate (i.e. ^μ=1 n∑k=1 nxi) of the mean μ from the data sample and the
probability of the random variable is below 90% of the estimate:
Pr ( ̄X ≤0.9 ^μ)

please show how to solve it. no excel please.

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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