Question

Which of the following statements regarding sample size are true?

_____Larger sample sizes are advantageous because the resulting statistics will have less variability.

_____For quantitative variables, larger sample sizes will lead to approximately normal distributions of , even when the population distribution is non-normal.

_____Larger sample sizes are advantageous because the resulting statistics will have less bias.

_____When estimating a population proportion with , the sampling distribution will be approximately normal regardless of sample size, as long as the population parameter, , is close to 0.5.

_____When estimating a population mean with , the sampling distribution will be approximately normal regardless of the sample size as long as the population distribution is approximately normal.

_____For very large sample sizes, t-distributions basically become normal distributions.

_____When taking a sample of size from a population of 350, it makes little difference if you sample with replacement or without replacement.

_____Voluntary response samples such as might be collected by click polling on a website can give accurate insight about the overall population as long as the sample size is very large.

Answer 1

TRUE: Larger sample sizes are advantageous because the resulting statistics will have less variability.
TRUE: For quantitative variables, larger sample sizes will lead to approximately normal distributions of , even when the population distribution is non-normal.
TRUE: Larger sample sizes are advantageous because the resulting statistics will have less bias.
FALSE: When estimating a population proportion with , the sampling distribution will be approximately normal regardless of sample size, as long as the population parameter, , is close to 0.5.
FALSE: When estimating a population mean with , the sampling distribution will be approximately normal regardless of the sample size as long as the population distribution is approximately normal.
TRUE: For very large sample sizes, t-distributions basically become normal distributions.
TRUE: When taking a sample of size from a population of 350, it makes little difference if you sample with replacement or without replacement.
TRUE : Voluntary response samples such as might be collected by click polling on a website can give accurate insight about the overall population as long as the sample size is very large.