As part of a study on transportation safety, the US 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 colletced 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 What is the value of the standard error of the estimate? Test for a significant relationship (show all appropriate steps). Use α = .05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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As part of a study on transportation safety, the US 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 colletced 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
  1. What is the value of the standard error of the estimate?
  2. Test for a significant relationship (show all appropriate steps). Use α = .05.

In parts c and d, please give all appropriate sums and table values needed to find your answers:

  1. 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.
  2. 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.
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