Multi-sensor data loggers were attached to free-ranging American alligators in a study conducted by Y. Watanabe for the article "Behavior of American Alligators Monitored by Multi-Sensor Data Loggers" (Aquatic Biology, Vol. 18, pp. 1-8). The mean duration for a sample of 68 dives was 338.0 seconds. Assume the population standard deviation is 100 seconds.
a. Find a 95% confidence interval for the mean duration, μ, of an American-alligator dive.
b. Repeat part (a) at a 99% confidence level.
c. Draw a graph similar to Fig. 8.6 on page 343 to display both confidence intervals.
d. Which confidence interval yields a more accurate estimate of μ? Explain your answer.