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19 Nov 2021

Given information

From the previous task, it is seen that the histograms showing distribution of the closing stock prices of the US semiconductor companies is different from the histogram showing the distribution of the mean closing stock prices of a sample of 5 randomly selected US semi conductor companies.

 

Step-by-step explanation

Step 1.

According to the central limit theorem, for a large enough sample, the distribution of the sample mean follows a normal distribution irrespective of the underlying population distribution.

This is the reason why the distribution of the sample mean closing stock prices of a sample of 5 randomly selected US semi conductor companies is bell shaped even when the distribution of the closing stock prices of the US semiconductor companies is not bell shaped.

 

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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