Biology and Environmental Science
The amount of chlorophyll near Stearns Wharf in Santa Barbara, California, varies due to the seasons, the entry of fresh water into the area, and the salt water from the ocean. A random sample of 35 days was selected and the chlorophyll near Stearns Wharf was measured (in mg/L) for each.47 The sample mean chlorophyll concentration was 2.93 μg/L. Assume the population standard deviation is σ = 2.12.
a. Find a 98% confidence interval for the true mean chlorophyll concentration near Stearns Wharf.
b. Find the sample size necessary to construct a 98% confidence interval for the true mean chlorophyll concentration with a bound on the error of estimation B = 0.5.