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Statistics: U.S. and New Mexico Highway Deaths

Directions: Use the attached set of raw data to complete the following tasks. For tasks 1 through 4 please focus on New Mexico highway fatalities.. In task five you will be comparing New Mexico and U..S. highway fatalities. All work must be done by hand. You may use a calculator but only as an aid.. You must demonstrate that you can do the work.

1. Calculate the mode, median, , s, and range.
2. Represent the data graphically. Please create a histogram and one other graph of your choice. (Remember not all graphs are appropriate for all data.)
3. Find a 95% confidence interval for m.
4. Compute a hypothesis test for m = 9 highway fatalities per million vehicle miles
a. Choose an appropriate alternate hypothesis.
b. a = .05
c. Follow the standard set up for a hypothesis test.
d. State your conclusion (in English) about the m = 9 highway fatalities per million vehicle miles.

5. Linear Regression: Please use the data for every 4th year beginning from year four.
a. Create a scatter diagram comparing New Mexico highway fatalities with U.S. highway fatalities.
b. Find the equation for the best-fit line (regression equation).
c. Determine the correlation coefficient and interpret its meaning.
d. Determine the coefficient of determination and interpret its meaning.
data below

U.S. and New Mexico Highway Deaths

Variable Names:
YR : Year (1945 = 1)
NM : New Mexico Highway fatalities per million vehicle miles
US : U.S. highway fatalities per million vehicle miles
Number of cases: 40

YR NM US
1 14.5 11.3
2 14.1 9.8
3 12.6 8.8
4 12.7 8.1
5 12.9 7.5
6 12.6 7.6
7 13 7.5
8 11.1 7.4
9 11..7 7
10 10.3 6.3
11 9.4 6.4
12 9.6 6..4
13 9.7 6
14 8.9 5.6
15 9.3 5.4
16 8 5.3
17 6.9 5.2
18 8.2 5.3
19 6.8 5.5
20 6.9 5.7
21 8.3 5.5
22 7.2 5.7
23 7.3 5.5
24 7.4 5.4
25 8 5.3
26 7.6 4.9
27 6.7 4.7
28 6.6 4.5
29 6.7 4.3
30 5.7 3.6
31 5.8 3.4
32 5.3 3.3
33 6.1 3.4
34 5.6 3.4

Attachments

Solution Summary

The solution provides step by step method for the calculation of regression analysis, descriptive statistics and hypothesis Testing. Formula for the calculation and Interpretations of the results are also included.

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