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he 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 terval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 8820 observations, the sample mean interval was x, = 62.2 minutes. Let x, be a random ariable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 25,340 observations, the sample mean time interval was x2 = 2.4 minutes. Historical data suggest that o, = 9.47 minutes and o, = 11.71 minutes. Let u, be the population mean of x, and let uz be the population mean of x3. (a) Compute a 95% confidence interval for Hy - H2. (Use 2 decimal places.) lower limit upper limit

he 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 terval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 8820 observations, the sample mean interval was x, = 62.2 minutes. Let x, be a random ariable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 25,340 observations, the sample mean time interval was x2 = 2.4 minutes. Historical data suggest that o, = 9.47 minutes and o, = 11.71 minutes. Let u, be the population mean of x, and let uz be the population mean of x3. (a) Compute a 95% confidence interval for Hy - H2. (Use 2 decimal places.) lower limit upper limit

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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How would u figure out these problems? What formulas? I am a bit confused. 

The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x, be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 8820 observations, the sample mean interval was x1 = 62.2 minutes. Let x, be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 25,340 observations, the sample mean time interval was x, = 72.4 minutes. Historical data suggest that o1 = 9.47 minutes and o2 = 11.71 minutes. Let u1 be the population mean of x1 and let uz be the population mean of x2. (a) Compute a 95% confidence interval for u, - 42. (Use 2 decimal places.) lower limit upper limit
Transcribed Image Text:The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x, be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 8820 observations, the sample mean interval was x1 = 62.2 minutes. Let x, be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 25,340 observations, the sample mean time interval was x, = 72.4 minutes. Historical data suggest that o1 = 9.47 minutes and o2 = 11.71 minutes. Let u1 be the population mean of x1 and let uz be the population mean of x2. (a) Compute a 95% confidence interval for u, - 42. (Use 2 decimal places.) lower limit upper limit
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n1=8820 Sample size of old faithful eruption for the  years 1948 to 1952 n2=25340 Sample size of old faithful eruption for the  years 1983 to 1987 x1=62.2  minutes Sample mean of old faithful eruption for the  years 1948 to 1952x2 =72.4  minutes Sample mean of old faithful eruption for the  years 1983 to 1987σ1=9.47 minutes  Population standard deviation of old faithful eruption for the  years 1948 to 1952σ2=11.71 minutes     Population standard deviation of old faithful eruption for the  years 1983 to 1987α=0.05 Level of significance 

 

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