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”. 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 326 to display both confidence intervals.

d. Which confidence interval yields a more accurate estimate of μ?

Explain your answer