1. True or false? If a sample size is large, then the shape of a histogram...

1. True or false? If a sample size is large, then the shape of a histogram of the sample will be
approximately normal, even if the population distribution is not normal.

2. True or false? If a sample size is large, then the shape of the sampling distribution of the average
will be approximately normal, even if the population distribution is not normal.

3. True or false? A sample histogram will have a normal distribution if the sample size is large
enough.

Please explain the question.

Expert Solution

1. If a sample size is large, then the shape of a histogram of the sample will be approximately normal, even if the population distribution is not normal. (False, the sampling distribution of sample mean will be approximately normal using Central limit theorem)

2. If a sample size is large, then the shape of the sampling distribution of the average will be approximately normal, even if the population distribution is not normal. (True, by Central limit theorem)

3. A sample histogram will have a normal distribution if the sample size is large enough. (False, the histogram of sample mean will be approximately normal using Central limit theorem)

orchestra answered 2 years ago

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