Using the skewed distribution rule, what is the distribution of sample variances

Question

Using the skewed distribution rule, what is the distribution of sample variances when the population distribution is the following?

Part (a) rectangular negatively skewed uniformally distributed evenly distributed normally distributed positively skewed

Part (b) normally distributed uniformally distributed evenly distributed normally distributed positively skewed negatively skewed

Part (c) positively skewed uniformally distributed positively skewed evenly distributed negatively skewed normally distributed

Part (d) nonmodal negatively skewed positively skewed evenly distributed uniformally distributed normally distributed

Part (e) multimodal evenly distributed negatively skewed positively skewed uniformally distributed normally distributed

Part (f) negatively skewed positively skewed evenly distributed uniformally distributed negatively skewed normally distributed

Explanation / Answer

The sampling distribution of sample variances is always positivey skewed regardless of the distribution of sccores in the population distribution.

part (a) rectangular
- positively skewed

part (b) normally distributed

- positively skewed

part (c) positively skewed

- positively skewed

part (d) nonmodal

- positively skewed

part (e) multimodal

- positively skewed

part (f) negatively skewed
- positively skewed

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