As part of a study on transportation safety, the U.S. Department of Transportation collected data on the number of fatal accidents per 1000 licenses and the percentage of licensed drivers under the age of 21 in a sample of 42 cities. Data collected over a one-year period follow. These data are contained in the file Safety.PercentUnder 21Fatal Accidentsper 1000132.962120.70880.885121.652112.091172.627183.8380.368131.14280.64591.028162.801121.40591.433100.03990.338111.849122.246142.855142.352111.294174.182.19163.623152.62390.83580.82142.8981.267153.224101.014100.493141.443183.614101.926141.643162.943121.913152.814132.63490.926173.256a. What is the value of the standard error of the estimate?b. Test for a significant relationship (show all appropriate steps). Use α = .05.c. Give a 95% interval estimate of the expected number of fatal accidents per 1000 licenses in cities where 15% of the licensed drivers are under 21.d. Give a 95% interval estimate of the number of fatal accidents per 1000 licenses in a city where 15% of the licensed drivers are under 21.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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As part of a study on transportation safety, the U.S. Department of Transportation collected data on the number of fatal accidents per 1000 licenses and the percentage of licensed drivers under the age of 21 in a sample of 42 cities. Data collected over a one-year period follow. These data are contained in the file Safety.

Percent Under 21	Fatal Accidents per 1000
13	2.962
12	0.708
8	0.885
12	1.652
11	2.091
17	2.627
18	3.83
8	0.368
13	1.142
8	0.645
9	1.028
16	2.801
12	1.405
9	1.433
10	0.039
9	0.338
11	1.849
12	2.246
14	2.855
14	2.352
11	1.294
17	4.1
8	2.19
16	3.623
15	2.623
9	0.835
8	0.82
14	2.89
8	1.267
15	3.224
10	1.014
10	0.493
14	1.443
18	3.614
10	1.926
14	1.643
16	2.943
12	1.913
15	2.814
13	2.634
9	0.926
17	3.256

a. What is the value of the standard error of the estimate?

b. Test for a significant relationship (show all appropriate steps). Use α = .05.

c. Give a 95% interval estimate of the expected number of fatal accidents per 1000 licenses in cities where 15% of the licensed drivers are under 21.

d. Give a 95% interval estimate of the number of fatal accidents per 1000 licenses in a city where 15% of the licensed drivers are under 21.

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Question D. Give a 95% interval estimate of the number of fatal accidents per 1000 licenses in a city where 15% of the licensed drivers are under 21. Same data set as above.

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