How often do people who live near the beach actually visit the beach? A random sample of 25 residents in a coastal town revealed that the residents visited the beach 28.1 days a year on average. The standard deviation of the sample is 5.5 days. We wish to use the data to estimate the average number of days a year that all coastal dwellers visit the beach.

(a) Find the point estimate for the mean number of days at the beach. (b) What is the standard error for the sample mean? (c) Find the multiplier for a 95% confidence interval for the mean. (d) State the margin of error.

(e) Construct and interpret the 95% confidence interval for the mean number of days coastal dwellers visit the beach each year.