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 9620 observations, the sample mean interval was x, = 63.4 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 25,457 observations, the sample mean time interval was x, - 72.0 minutes. Historical data suggest that ơ; = 9.19 minutes and o, = 12.76 minutes. Let 4, be the population mean of x, and let µ2 be the population mean of x2. (a) Compute a 99% confidence interval for u - H2. (Use 2 decimal places.) lower limit upper limit

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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 9620 observations, the sample mean interval was x, = 63.4 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 25,457 observations, the sample mean time interval was x2 = 72.0 minutes.
Historical data suggest that o, = 9.19 minutes and oz = 12.76 minutes. Let u, be the population mean of x, and let uz be the population mean of x2.
(a) Compute a 99% confidence interval for u, - u2. (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 9620 observations, the sample mean interval was x, = 63.4 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 25,457 observations, the sample mean time interval was x2 = 72.0 minutes. Historical data suggest that o, = 9.19 minutes and oz = 12.76 minutes. Let u, be the population mean of x, and let uz be the population mean of x2. (a) Compute a 99% confidence interval for u, - u2. (Use 2 decimal places.) lower limit upper limit
A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x1 be a random variable that represents the score of a
mother on an empathy test (as regards her baby). Let x2 be the empathy score of a father. A random sample of 33 mothers gave a sample mean of x, = 67.51. Another random sample of
33 fathers gave x2 = 59.51. Assume that o, = 11.69 and oz = 11.55.
(a) Let u, be the population mean of x, and let uz be the population mean of x2. Find a 99% confidence interval for u - H2. (Use 2 decimal places.)
lower limit
upper limit
Transcribed Image Text:A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x1 be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x2 be the empathy score of a father. A random sample of 33 mothers gave a sample mean of x, = 67.51. Another random sample of 33 fathers gave x2 = 59.51. Assume that o, = 11.69 and oz = 11.55. (a) Let u, be the population mean of x, and let uz be the population mean of x2. Find a 99% confidence interval for u - H2. (Use 2 decimal places.) lower limit upper limit
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