Suppose you take two samples of n=10 individuals from a population, and you calculate the 95% confidence interval for the mean from each sample. a) What is the probability that both 95% confidence intervals span the true population mean (i.e., the true population mean falls somewhere within the confidence intervals)? b) What is the probability that neither 95% confidence interval spans the true population mean? c) What is the probability that only one of the 95% confidence intervals spans the true population mean? d) What is the probability that at least one of the 95% confidence intervals spans the true population mean? Solution your complete answer is at www.marin.edu/~npsomas/Math115/Ch6/6.1_HW_.

1. Suppose you take two samples of n=10 individuals from a population, and you calculate the 95%
confidence interval for the mean from each sample. a) What is the probability that both 95%
confidence intervals span the true population mean (i.e., the true population mean falls
somewhere within the confidence intervals)? b) What is the probability that neither 95%
confidence interval spans the true population mean? c) What is the probability that only one of
the 95% confidence intervals spans the true population mean? d) What is the probability that at
least one of the 95% confidence intervals spans the true population mean?
Solution
your complete answer is at www.marin.edu/~npsomas/Math115/Ch6/6.1_HW_