A random sample has been taken from a population. A statistician, using this sample, needs to decide whether to construct a 95% confidence interval for the population mean or a 99% confidence interval for the population mean. How will these intervals differ?
1) The 95% confidence interval will be wider than the 99% confidence interval.
2) The 95% confidence interval will not be as wide as the 99% confidence interval.
3) The wider interval is dependent on a larger sample size.
4) The wider interval is dependent on whether the sample is unbiased.
5) The wider interval is dependent on whether a z statistic or a t statistic is used.