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1) The U.S. Department of Transportation provides the number of miles that residents of the 75...

1) The U.S. Department of Transportation 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 Buffalo residents the mean is 22.2 miles a day and the standard deviation is 8.8 miles a day, and for an independent simple random sample of 40 Boston residents the mean is 18.8 miles a day and the standard deviation is 7.1 miles a day. Round your answers to one decimal place.

a. What is the point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residents travel per day? b. What is the 95% confidence interval for the difference between the two populations means? ? to ?

2)

Consider the following hypothesis test.

H0 : µd ≤ 0
Ha : µd > 0


Excel File: data10-19.xls
The following data are from matched samples taken from two populations.

Population
Element 1 2
1 25 24
2 29 27
3 17 17
4 20 20
5 24 22

a. Compute the difference value for each element.

Element Difference
1
2
3
4
5

b. Compute d.

c. Compute the standard deviation sd.

d. Conduct a hypothesis test using α = .05. What is the p-value?
The p-value is Selectless than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10between .10 and .20greater than .20Item 8

What is your conclusion?
SelectThere is a significant difference between the two population means There is not a significant difference between the two population means Item 9

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