LSSGB: What is said to be true when samples are drawn out of a population randomly?

OPTIONS

• The sample mean is always the same as population mean
• The sampling distribution approaches normality with increase in sample size
• The sample standard deviation will be the same as population standard deviation
• The sampling distribution would be triangular if population is distributed as triangular distribution

ANSWER

The sampling distribution approaches normality with increase in sample size

EXPLANATION

Although CLT states in one of its clauses that sample mean = population mean, it cannot be said with a degree of confidence at all times. Option c and d are not serious considerations.