Calculate and interpret a 95% confidence interval for the difference between the means of drivers and passengers.Chest Injury RatingCarDriverPassengerCarDriverPassenger142351036372423511363733445124358434451340425454514435864042153741742461637418435817445794543184242 NHTSA new car crash tests. Refer to the National Highway Traffic Safety Administration(NHTSA) crash test data on new cars, saved in the CRASH file. Crash test dummies were placedin the driver's seat and front passenger's seat of a new car model, and the car was steered byremote control into a head-on collision with a fixed barrier while traveling at 35 miles per hour.Two of the variables measured for each of the 98 new cars in the data set are (1) the severity ofthe driver's chest injury and (2) the severity of the passenger's chest injury. (The more pointsassigned to the chest injury rating, the more severe the injury is.) The files demonstrated that themean chest injury rating was significantly higher for drivers than for passengers. A similar studyutilized independent random samples of size 18 and yielded the data shown in the table below onthe chest injury rating of cars for drivers and passengers.田Chest Injury RatingCarDriverPassengerCarDriverPassenger142351036372423511363733445124358434451340424545144358404215374174246163741578435817444543184242

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Description: Calculate and interpret a 95% confidence interval for the difference between the means of drivers and passengers.Chest Injury RatingCarDriverPassengerCarDriverPassenger1423510363724235113637334451243584344513404254545144358640421537417424616374184358

Given information: The data representing the independent samples of the chest injury rates of cars…

Answered: NHTSA new car crash tests. Refer to the…

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Calculate and interpret a 95% confidence interval for the difference between the means of drivers and passengers.

Chest Injury Rating
Car	Driver	Passenger	Car	Driver	Passenger
1	42	35	10	36	37
2	42	35	11	36	37
3	34	45	12	43	58
4	34	45	13	40	42
5	45	45	14	43	58
6	40	42	15	37	41
7	42	46	16	37	41
8	43	58	17	44	57
9	45	43	18	42	42

NHTSA new car crash tests. Refer to the National Highway Traffic Safety Administration
(NHTSA) crash test data on new cars, saved in the CRASH file. Crash test dummies were placed
in the driver's seat and front passenger's seat of a new car model, and the car was steered by
remote control into a head-on collision with a fixed barrier while traveling at 35 miles per hour.
Two of the variables measured for each of the 98 new cars in the data set are (1) the severity of
the driver's chest injury and (2) the severity of the passenger's chest injury. (The more points
assigned to the chest injury rating, the more severe the injury is.) The files demonstrated that the
mean chest injury rating was significantly higher for drivers than for passengers. A similar study
utilized independent random samples of size 18 and yielded the data shown in the table below on
the chest injury rating of cars for drivers and passengers.
田
Chest Injury Rating
Car
Driver
Passenger
Car
Driver
Passenger
1
42
35
10
36
37
2
42
35
11
36
37
3
34
45
12
43
58
4
34
45
13
40
42
45
45
14
43
58
40
42
15
37
41
7
42
46
16
37
41
57
8
43
58
17
44
45
43
18
42
42

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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