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You started with a normally distributed population of extraversion scores. You are also interested in depression...

You started with a normally distributed population of extraversion scores. You are also interested in depression scores. The measure of depression is not normally distributed but skewed with a mean of M = 8.08 and a standard deviation of S.D = 6.22. According to the central limit theorem, what would you expect for the mean and standard deviation of the distribution of sample means for samples of a size of 25 from a positively skewed population with M = 8.08 and S.D = 6.22.

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Answer #1

Solution :

Given that ,

mean = = 8.08

standard deviation = = 6.22

n = 25

=   = 8.08

= / n = 6.22/ 25 = 1.244

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