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Choose the incorrect statement(s). (Check all that apply) A distribution of sample means may not be normally distributed. D A sampling distribution always has a bigger standard deviation than that of its corresponding population sample means are approximately normally distributed when n 30. The standard deviation of a sampling distribution of means is the standard deviation of the or ginal population divided by n (the sample size).
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Answer #1

A distribution of sample means are approximately normally distributed when n >= 30. If n < 30, then the distribution need not necessarily be normally distributed.

The standard deviation of a sample distribution of means is the standard deviation of the original population divided by square root of n (the sample size). As a result the sampling distribution has a smaller standard deviation than that of it's corresponding population. (Except when n = 1).

The incorrect answers therefore are the second and fourth options.

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