As the size of the sample increases, what happens to the shape of the sampling means?Select one:A. cannot be predicted in advanceB. approaches a normal distributionC. positively skewedD. negatively skewed
Question
As the size of the sample increases, what happens to the shape of the sampling means?Select one:A. cannot be predicted in advanceB. approaches a normal distributionC. positively skewedD. negatively skewed
Solution
The correct answer is B. As the size of the sample increases, the shape of the sampling means approaches a normal distribution. This is known as the Central Limit Theorem, which states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Similar Questions
As the size of the sample increases, what happens to the shape of the sampling means?
According to the Central Limit Theorem, the sampling distribution of the sample mean becomes approximately normally distributed asthe standard error increasesthe population variance decreasesthe size of the population increasesthe number of samples drawn increasesthe size of the sample increases
when the sample size increases., the probability distribution becomes is symmetric or skewed or uniform or peaked
When the population is not normally distributed, the sampling distribution of the mean approximates which of the following? A slight positive skew A normal distribution given a large enough sample A distribution that is not normal A normal distribution
Which of the following accurately describes the effect of increasing the sample size?Group of answer choicesIncreases the standard error and has no effect on the risk of a Type I errorIncreases the risk of a Type I error and has no effect on the standard errorDecreases the risk of a Type I error and has no effect on the standard errorDecreases the standard error and has no effect on the risk of a Type I erro
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