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Textbook ExpertVerified Tutor
1 Nov 2021

Given information

 

 

Step-by-step explanation

Step 1.

The central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In other words, if the sample size is large enough, the distribution of the sums can be approximated by a normal distribution even if the original population is not normally distributed. Additionally, if the original population has a mean of x and a standard deviation ( ), the mean of the sums is () and the standard deviation is , where n is the sample size.

 

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