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The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Y

ID: 3388723 • Letter: T

Question

The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x1 be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 9560 observations, the sample mean interval was x1 = 63.8 minutes. Let x2 be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 23,000 observations, the sample mean time interval was x2 =69.0 minutes. Historical data suggest that 1 = 8.14 minutes and 2 = 12.34 minutes. Let 1 be the population mean of x1 and let 2 be the population mean of x2.

(a) Compute a 99% confidence interval for 1 – 2. (Use 2 decimal places.)

lower limit     upper limit    

Explanation / Answer

The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Y

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