Answered: iv. Find the probability of randomly…

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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b) Suppose a data distribution is normally distributed with the population mean µ = 60 and the population standard deviation σ = 15. To find the probability of a randomly selected value less than 45, we have to find the portion of the area under the normal curve from 45 all the way to the left.

i. Whether the statement given in the question and the above graph are correct according to the situation. Please justify properly

ii. What if we have to find the 90% percentile of the data?

iii. Why the scale of the graph does not show -∞ to +∞

iv. Find the probability of randomly selected value that makes more than 80, given the same normal distribution.

v. Will finite population correction will be applied here, Justify your answer with all the proofs.

vi. What is the impact of standard error?

Plz answer the last 3 parts 4,5,6

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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