Old Faithful Geyser. In the online article “Old Faithful at Yellowstone, a Bimodal Distribution,” D. Howell examined various aspects of the Old Faithful Geyser at Yellowstone National Park.

Despite its name, there is considerable variation in both the length of the eruptions and in the time interval between eruptions. The times between eruptions, in minutes, for 500 recent observations are provided on the WeissStats site.

a. Identify the population and variable under consideration.

b. Use the technology of your choice to determine and interpret a 99% confidence interval for the mean time between eruptions.

c. Discuss the relevance of your confidence interval for future eruptions, say, 5 years from now.