A water supplying company wished to estimate the average amount the private customers pay per month. A random sample of 25 customers' bills produced a sample mean of $30 and a sample standard deviation of $5. (Hint: In the previous question, $5 is the standard deviation of the whole population, while now $5 is a standard deviation of just a sample of 25 customers.) b) Without any calculations, do you expect that a 95% confidence interval for the population mean will be wider than in the previous question, or narrower, or the same? wider O narrower O the same