Suppose that a researcher selects a sample of participants from a population.If the shape of the distribution in this population is positively skewed,then what is the shape of the sampling distribution of sample means?
A) approximately positively skewed
B) approximately negatively skewed
C) approximately normally distributed
D) there is not enough information to answer this question because the population mean and variance are not given

Question

Quizplus · Accepted Answer

According to the central limit theorem, if the sample size is sufficiently large (typically n≥30), the sampling distribution of sample means approximates a normal distribution regardless of the shape of the population distribution. Therefore, even if the population distribution is positively skewed, the sampling distribution of sample means will still be approximately normally distributed.

Suppose That a Researcher Selects a Sample of Participants from a Population.If