The mean income of a certain government employee is Php 53,200 with a standard deviation of Php 6750. Assume that their income is normally distributed. ?(? ≥ 50,000) = _____________ Show the region under the normal curve by shading the part that corresponds to the required area of P(x ≥ 50,000) .If a random sample of 49 employees is selected, what is the probability that the sample mean had an income of at least Php 50,000?

Given : Mean (µ)=53200 Standard deviation (σ)=6750 Sample size (n)=49

Answered: The mean income of a certain government…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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The mean income of a certain government employee is Php 53,200 with a standard deviation of Php 6750. Assume that their income is normally distributed.

?(? ≥ 50,000) = _____________
Show the region under the normal curve by shading the part that corresponds to the required area of P(x ≥ 50,000) .
If a random sample of 49 employees is selected, what is the probability that the sample mean had an income of at least Php 50,000?

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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