The central limit theorem states that sampling averages will be normally distrib

Question

The central limit theorem states that sampling averages will be normally distributed, regards of the population distribution, as long as the samples size is greater than 10. SmallCircle True SmallCircle False Which of the following is true about "THE EMPIRICAL RULE" as applicable to normal distributions? Note the statement must both be true and related to the empirical rule. There is only one correct answer for this question. SmallCircle 99.73% of the observations are in a range of six standard deviations centered about the mean, SmallCircle The Z-score gives the number of observations that are below a certain value SmallCircle 64.26% Of the observations are within plus or minus two standard deviations of the mean

Explanation / Answer

9

False. The central limit theorm states that sampling averages will be normally distributed, regardless of the population distribution as long as the sample size is greater than 30 and not 10.

10

Empirical rule in a normal distribution states that 68.27%, 95.45% and 99.73% of the values lie within one, two and three standard deviations of the mean, Hence correct answer is Option A.

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