The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

In this problem, we have a skewed variable with a sample size less than 30, hence the Central Limit Theorem cannot be applied and the correct conclusion is:

The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.

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2 years ago

Which of the following most directly explains the importance of improved agricultural productivity to the industrialization of e

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The importance of improving agricultural productivity for the industrialization of economic production in Europe in the period from 1750 to 1900 is that as less labor was needed on farms, more people moved to urban areas to work in factories.

<h3 /><h3>First Industrial Revolution</h3>

It began in England in 1760, a period in which the transition from the feudal to the capitalist system took place. This transition occurred due to the technological development in Europe, which generated several economic and social transformations in the world.

Therefore, the impacts of the Industrial Revolution are related to the productive processes, which ceased to be artisanal to be developed in factories with the use of machines, thus emerging new working relationships.

The correct answer is:

Because less labor was needed on farms, more people moved to urban areas to work in factories.

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2 years ago