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 - answers to one decimal place.) 1.2 xmi/day to 7.8 x mi/day City B. Round your

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 -
answers to one decimal place.)
1.2
xmi/day to 7.8
x mi/day
City B. Round your
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 - answers to one decimal place.) 1.2 xmi/day to 7.8 x mi/day City B. Round your
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