A government agency provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a simple random sample of 50 City A residents the mean is 22.8 miles a day and the standard deviation is 8.2 miles a day, and for an independent simple random sample of 40 City B residents the mean is 18.3 miles a day and the standard deviation is 7.2 miles a day. (a) What is the point estimate of the difference between the mean number of miles that City A residents travel per day and the mean number of miles that City B residents travel per day? (Use City A - City B.) 4.5 ✔mi/day (b) What is the 95% confidence interval for the difference between the two population means (in miles per day)? (Use City A - City B. Round your answers to one decimal place.) 1.7 X mi/day X mi/day to 7.3

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A government agency provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a simple random sample of 50 City A residents the mean is 22.8 miles a day and the standard deviation is
8.2 miles a day, and for an independent simple random sample of 40 City B residents the mean is 18.3 miles a day and the standard deviation is 7.2 miles a day.
(a) What is the point estimate of the difference between the mean number of miles that City A residents travel per day and the mean number of miles that City B residents travel per day? (Use City A - City B.)
4.5
✔mi/day
(b) What is the 95% confidence interval for the difference between the two population means (in miles per day)? (Use City A - City B. Round your answers to one decimal place.)
1.7
X mi/day
X mi/day to 7.3
Transcribed Image Text:A government agency provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a simple random sample of 50 City A residents the mean is 22.8 miles a day and the standard deviation is 8.2 miles a day, and for an independent simple random sample of 40 City B residents the mean is 18.3 miles a day and the standard deviation is 7.2 miles a day. (a) What is the point estimate of the difference between the mean number of miles that City A residents travel per day and the mean number of miles that City B residents travel per day? (Use City A - City B.) 4.5 ✔mi/day (b) What is the 95% confidence interval for the difference between the two population means (in miles per day)? (Use City A - City B. Round your answers to one decimal place.) 1.7 X mi/day X mi/day to 7.3
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