THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 135

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let the random variable X follow a normal distribution with a mean of μ and a standard deviation of σ.Let
₁ be the mean of a sample of 16 observations randomly chosen from this population,and
₂ be the mean of a sample of 25 observations randomly chosen from the same population.
-Evaluate the statement P
₁ < μ +
)< P(
₂ < μ +
)as to whether it is true or false.Please state if you are unable to determine whether the statement is true or false.Support your answer.

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Definitions:

Regressive

Refers to systems, especially tax systems, where the rate decreases as the amount subject to taxation increases, placing more of a burden on low-income earners.

OECD

The Organisation for Economic Co-operation and Development, an international organization that works to build better policies for better lives, promoting policies to improve the economic and social well-being of people around the world.

Progressive Tax System

A tax structure where the tax rate increases as the taxable amount or income increases, placing a larger financial burden on higher-income earners.

Tax System

The structured collection of laws and regulations that govern how taxes are collected, managed, and utilized by a government.