When the author visited Dublin, Ireland, he recorded the ages of randomly selected passenger cars and...

When the author visited Dublin, Ireland, he recorded the ages of randomly selected passenger cars and randomly selected taxis. The ages can be found from the license plates. The ages in years are listed below. We might expect that taxis would be newer, so test the claim that the mean age of cars is greater than the mean age of taxies.

Car Ages: 4 0 8 11 4 14 3 3 7 6 6 6 15 9

Taxi Ages: 8 8 0 3 4 4 6 0 5 9 3 4

What is the null hypothesis? What is the alternative hypothesis?

What is the p-value and the test statistic?

Do we reject the null or fail to reject the null?

Write a conclusion.

Solutions

Expert Solution

x : Car Ages

y : Taxi Ages

	x	y	x-x̅	y-y̅	(x-x̅)2	(y-y̅)2
	4	8	-2.8571	3.5	8.1633	12.25
	0	8	-6.8571	3.5	47.0204	12.25
	8	0	1.1429	-4.5	1.3061	20.25
	11	3	4.1429	-1.5	17.1633	2.25
	4	4	-2.8571	-0.5	8.1633	0.25
	14	4	7.1429	-0.5	51.0204	0.25
	3	6	-3.8571	1.5	14.8776	2.25
	3	0	-3.8571	-4.5	14.8776	20.25
	7	5	0.1429	0.5	0.0204	0.25
	6	9	-0.8571	4.5	0.7347	20.25
	6	3	-0.8571	-1.5	0.7347	2.25
	6	4	-0.8571	-0.5	0.7347	0.25
	15		8.1429		66.3061
	9		2.1429		4.5918

Total=	96	54		0	235.7143	93
mean=x̅	Total/14	Total/12
x̅=	6.8571	4.5

orchestra answered 1 year ago

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