gical Survey compiled historical data abc from 1870 to 1987. Let x₁ be a random v nutes) between Old Faithful eruptions for ions, the sample mean interval was 60.3 m ts the time interval in minutes between O Based on 24900 observations, the sample

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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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
9100 observations, the sample mean interval was 60.3 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 24900 observations, the sample mean time interval
was 71.4 minutes. Historical data suggest that o₁ = 10 minutes and o2 = 12.5 minutes.
01
X1
12
Let u₁ be the population mean of x₁ and let ₂ be the population mean of x2.
(a) Compute a 90% confidence interval for ₁ - ₂. (Use 2 decimal places.)
Lower Limit
Upper Limit
(b) Choose the correct conclusion
We can say with 90% confidence that the interval length between eruptions has gotten longer.
OWe can say with 90% confidence that the interval length between eruptions has gotten shorter.
We can not say that the interval length between eruptions has gotten longer.
Transcribed Image Text: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 9100 observations, the sample mean interval was 60.3 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 24900 observations, the sample mean time interval was 71.4 minutes. Historical data suggest that o₁ = 10 minutes and o2 = 12.5 minutes. 01 X1 12 Let u₁ be the population mean of x₁ and let ₂ be the population mean of x2. (a) Compute a 90% confidence interval for ₁ - ₂. (Use 2 decimal places.) Lower Limit Upper Limit (b) Choose the correct conclusion We can say with 90% confidence that the interval length between eruptions has gotten longer. OWe can say with 90% confidence that the interval length between eruptions has gotten shorter. We can not say that the interval length between eruptions has gotten longer.
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