Solves problems involving test of hypotheses on the population mean. 1. The minimum wage earners of the National Capital Region are believed to be receiving lessthan Php 5,000.00 per day. The CEO of a large supermarket chain in the region is claimingto be paying its contractual higher than the minimum daily wage rate of Php 500.00 Tocheck on this claim, a labour union leader obtained a random sample of 144 contractualemployees from this supermarket chain. The survey of their daily wage earnings resultedto an average wage of Php 510.00 per day with standard deviation of Php 100.00. The dailywage of the region is assumed to follow a distribution with unknown population variance.Perform a test of hypothesis at 5% level of significance to help the labour union leader makean empirical based conclusion on the CEO's claim.

Hypothesis testing is vital to inferential statistics.

Answered: The minimum wage earners of the…

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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Solves problems involving test of hypotheses on the population mean.

1. The minimum wage earners of the National Capital Region are believed to be receiving less
than Php 5,000.00 per day. The CEO of a large supermarket chain in the region is claiming
to be paying its contractual higher than the minimum daily wage rate of Php 500.00 To
check on this claim, a labour union leader obtained a random sample of 144 contractual
employees from this supermarket chain. The survey of their daily wage earnings resulted
to an average wage of Php 510.00 per day with standard deviation of Php 100.00. The daily
wage of the region is assumed to follow a distribution with unknown population variance.
Perform a test of hypothesis at 5% level of significance to help the labour union leader make
an empirical based conclusion on the CEO's claim.

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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