Question
In: Math
An engineer wishes to determine if the stopping distance for midsize automobiles is different from that...
An engineer wishes to determine if the stopping distance for midsize automobiles is different from that of compact automobiles at 75 mph. The data is shown below.
Automobile 1 2 3 4 5 6 7 8 9 10
Midsize 188 190 195 192 186 194 188 187 214 203
Compact 200 211 206 297 198 204 218 212 196 193
a) State the null and alternate hypotheses.
b) Use a Wilcoxon rank sum test to determine if there is a difference in the stopping distances between Midsize and compact cars. Copy and paste the results of the test into your Word document.
c) Include a carefully-worded conclusion in the both statistical terms and in the context of the problem. (Label each part)
Solutions
milcah answered 1 year agoRelated Solutions
A research hypothesis is that the variance of stopping distances of automobiles on wet pavement is...
A research hypothesis is that the variance of stopping distances
of automobiles on wet pavement is significantly greater
than the variance of stopping distances of automobiles on
dry pavement. In the research study, 21 automobiles traveling at
the same speeds are tested for stopping distances on wet pavement
and then tested for stopping distances on dry pavement. On wet
pavement the standard deviation of stopping distances is 32 feet.
On dry pavement, the standard deviation is 16 feet. If the...
1. An engineer wishes to determine the width of a particular electronic component. If she knows...
1. An engineer wishes to determine the width of
a particular electronic component. If she knows that the standard
deviation is 1.9 mm, how many of these components should she
consider to be 90% sure of knowing the mean will be within ± 0.5 ±
0.5 mm? 7 40 24 19 142
2. A report says that the average amount of
time a 10-year-old American child spends playing outdoors per day
is between 20.24 and 24 minutes. What is the...
A department of transportation's study on driving speeds and miles per gallon for midsize automobiles resulted...
A department of
transportation's study on driving speeds and miles per gallon for
midsize automobiles resulted in the following data:
Speed (MPH)
Miles per Gallon
30
28
50
25
40
25
55
23
30
30
25
32
60
21
25
35
50
26
55
25
(a) Find the line of best
fit
(b) Predict the mileage for a
driving speed of 42 mph.
c) Compute and interprent the
correlation coefficient.
(b) Is the relationship
between speed and gas mileage statistically...
The data in the following MINITAB output refer to an automobile’s stopping distance (in feet) at...
The data in the following MINITAB output refer to an
automobile’s stopping distance (in feet) at different speeds.
Data Display
Row Speed StopDist
1 25
63
2 25
56
3 30
84
4 35
107
5 45
153
6 45
164
7 55
204
8 55
220
9 65
285
10 65
303
Descriptive Statistics
Variable
N
...
In a test of braking performance, a tire manufacturer measured the stopping distance for one of...
In a test of braking performance, a tire manufacturer measured
the stopping distance for one of its tire models. On a test track,
10 different cars made stops from a speed of 100 km per hour. The
company recorded the stopping distance for each car on both wet and
dry pavement. Results are shown in the table. Complete parts a)
and b).
Car # Dry Wet
1 48 64
2 44 66
3 41 58
4 40 52
5 42 ...
The relationship between the speed of a car and its stopping distance can be modelled by...
The relationship between the speed of a car and its stopping
distance can be modelled by the function
D= 0.0575v2, where D is the stopping distance, in metres, and v
is the speed, in kilometres per hour.
a) Express the speed, v, as a function of D, in the form of y =
af[k(x-d)] + c
b) Explain the meaning of the inverse function.
c) Graph each relation on separate axes. Label axes and title
each graph.
d) State the...
In a test of braking performance, a tire manufacturer measured the stopping distance for one of...
In a test of braking performance, a tire manufacturer measured
the stopping distance for one of its tire models. On a test track,
a car made repeated stops from 60 miles per hour. The test was run
on both dry and wet pavement, with results as shown below.
Wet Dry
210 154
191 153
214 143
200 137
202 130
196 146
198 132
179 144
194 142
217 127
a) Construct a 95% confidence interval for the mean dry...
The minimum stopping distance for a car depends on the driver’s reaction time and the car’s...
The minimum stopping distance for a car depends on the driver’s
reaction time and the car’s acceleration when the brakes are
applied. A 1000 kg car traveling on a level road at speed 18 m/s
travels 15 m (due to driver’s reaction time) before braking starts
and then skids with the wheels locked another 30 m. Answer the
following questions concerning this stopping process. (Ignore air
resistance and assume g = 10 m/s^2.)
a) What is the driver’s reaction time?...
To relate the stopping distance of a car to its speed, ten cars were tested at...
To relate the stopping distance of a car to its speed, ten cars
were tested at five different speeds, two cars at each speed. The
following data were obtained.
Speed x (mph) 20 20 30 30 40 40 50 50 60 60
Stop. Dist. y (ft) 16.3 26.739.2 63.5 65.7 98.4 104.1 155.6
217.2 160.8
a) Fit a least-squares linear equation to these data. Plot the
residuals against the speed.
b) Comment on the goodness of the fit based on...
Suppose that a population of brakes supplied has a mean stopping distance, when the brake is...
Suppose that a population of brakes supplied has a mean stopping
distance, when the brake is applied fully to a vehicle traveling at
75 mph is 268 feet. Population standard deviation is 20 feet.
Suppose that you take a sample of n brakes to test and if the
average stopping distance is less than or equal to a critical
value, you accept the lot. If it is more than the critical value,
you reject the lot. You want an alpha...
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