The standard normal distribution: Has a mean of 0 and a standard deviation of 1.

Question

The standard normal distribution: Has a mean of 0 and a standard deviation of 1. Has a mean of 1 and a variance of 0. Has a total area under the curve equal to 0.5. Converts area under a normal curve to the distance a standard deviation is above or below n. The Central Limit Theorem is important in statistics because: For a large n, it says the population is approximately normal. For any population, it says the sampling distribution of the sample mean is approximately normal, regardless of the sample size. For a large n, it says the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population. For any sized sample, it says the sampling distribution of the sample mean is always approximately normal.

Explanation / Answer

Solution:-

2. (a.)

This is the "bell-shaped" curve of the Standard Normal Distribution. It is a Normal Distribution with mean 0 and standard deviation 1.

3. (c.)

The central limit theorem is important in statistics because for large n, it says the sampling distribution of the sample mean is approximately normal regardless of the shape of the popu

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