Question
In: Math
The accompanying data represent the miles per gallon of a random sample of cars with a...
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine. (a) Compute the z-score corresponding to the individual who obtained 32.7 miles per gallon. Interpret this result. (b) Determine the quartiles. (c) Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there any outliers?
|
32.7 |
35.9 |
38.0 |
38.7 |
40.2 |
42.2 |
|
|
34.4 |
36.2 |
38.1 |
38.9 |
40.7 |
42.7 |
|
|
34.6 |
37.5 |
38.2 |
39.5 |
41.5 |
43.6 |
|
|
35.2 |
37.8 |
38.5 |
39.8 |
41.6 |
48.9 |
Solutions
Expert Solution
(a) Compute the z-score corresponding to the individual who obtained 32.7 miles per gallon
Z = (x-μ) / σ
x = 32.7
μ = 38.98
σ = 3.49
Z = (32.7-38.98)/3.49 = -1.80
P(Z < -1.80) = 0.0359
(b) Determine the quartiles. (c) Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there anyoutliers?
Only one outlier. i.e 48.9
milcah answered 1 year agoRelated Solutions
The accompanying data represent the miles per gallon of a random sample of cars with a...
The accompanying data represent the miles per gallon of a random
sample of cars with a three-cylinder, 1.0 liter engine.
(a)
Compute the z-score corresponding to the individual who
obtained
41.4 miles per gallon. Interpret this result.
(b)
Determine the quartiles.
(c)
Compute and interpret the interquartile range, IQR.
(d)
Determine the lower and upper fences. Are there any
outliers?
32.7
34.0
34.7
35.4
36.0
36.2
37.3
37.6
37.7
37.9
38.1
38.5
38.6
39.0
39.2
39.4
39.9
40.7
41.4
41.8...
The accompanying data represent the miles per gallon of a random sample of cars with a...
The accompanying data represent the miles per gallon of a random
sample of cars with a three-cylinder, 1.0 liter engine.
(a)
Compute the z-score corresponding
to the individual who obtained
36.3
miles per gallon. Interpret this result.
(b)
Determine the quartiles.
(c)
Compute and interpret the interquartile range, IQR.
(d)
Determine the lower and upper fences. Are there any
outliers?
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32.5
35.9
38.0
38.6
39.9
42.4
34.4
36.3
38.1
38.7
40.6
42.7...
The accompanying data represent the miles per gallon of a random sample of cars with a...
The accompanying data represent the miles per gallon of a random
sample of cars with a three-cylinder, 1.0 liter engine. (a)
Compute the z-score corresponding to the individual who obtained
38.4 miles per gallon. Interpret this result. (b) Determine the
quartiles. (c) Compute and interpret the interquartile range,
IQR. (d) Determine the lower and upper fences. Are there any
outliers? 32.5; 35.9; 37.6; 38.6; 40.4; 42.5; 34.0; 36.2; 37.8;
38.9; 40.6; 42.6; 34.7; 37.3; 38.1; 39.4 ;41.3; 43.4; 35.6; 37.4;...
the accompanying data represent the miles per gallon of a random sample of cars with a...
the accompanying data represent the miles per gallon
of a random sample of cars with a three-cylinder, 1.0 liter
engine. (a) compute the z-score corresponding to the individual
who obtained 38.7 miles per gallon. interpret this result. (b)
determine the quartiles. (c) compute and interpret the
interquartile range, iqr. (d) determine the lower and upper
fences. are there any outliers?39.939.9 42.442.4 34.634.6 36.336.3
38.138.1 38.938.9 40.540.5 42.842.8 34.734.7 37.537.5 38.338.3
39.439.4 41.441.4 43.643.6 35.235.2 37.637.6 38.538.5 39.739.7
41.641.6 49.049.0
The accompanying data represent the miles per gallon of a random sample of cars with a...
The accompanying data represent the miles per gallon of a random
sample of cars with a three-cylinder, 1.0 liter engine.
(a)
Compute the z-score corresponding to the individual who
obtained
39.839.8
miles per gallon. Interpret this result.
(b)
Determine the quartiles.
(c)
Compute and interpret the interquartile range, IQR.
(d)
Determine the lower and upper fences. Are there any
outliers?
32.4
34.1
34.5
35.7
36.1
36.3
37.5
37.7
37.9
38.1
38.3
38.5
38.7
39.1
39.5
39.8
39.9
40.6
41.3
41.6...
A random sample of Midsize Sedans’ Miles per Gallon (mpg) were recorded and the data is...
A random sample of Midsize Sedans’ Miles per Gallon (mpg) were
recorded and
the
data is listed below. Assume the miles per gallon are normally
distributed:
24.6
30.2
29.9
33.1 26.7
28.5
31.6
36.3
24.4 28.7
Calculate the mean (1 pt):
Calculate the standard deviation (1 pt):
Construct a 90% confidence interval for population mean (4
pts):
Construct a 95% confidence interval for population standard
deviation (4 pts):
The data in the table represent the weights of various domestic cars and their miles per...
The data in the table represent the weights of various domestic
cars and their miles per gallon in the city for the 2008 model
year. For the data from the first 11 cars, the least-squares
regression line is y=−0.0062x+42.4755. A twelfth car weighs 2,705
pounds and gets 14 miles per gallon. Compute the coefficient of
determination of the expanded data set (including the twelfth
car). What effect does the addition of the twelfth car to the data
set have on...
The data in the table represent the weights of various domestic cars and their miles per...
The data in the table represent the weights of various domestic
cars and their miles per gallon in the city for the 2008 model
year. For these data, the least-squares regression line is
ModifyingAbove y with -0.006x + 42.216. A twelfth car weighs 3,425
pounds and gets 12 miles per gallon.
(a) Compute the coefficient of determination of the expanded
data set. What effect does the addition of the twelfth car to the
data set have on Rsquared?
(b)...
The data in the accompanying table represent the heights and weights of a random sample of...
The data in the accompanying table represent the heights and
weights of a random sample of professional baseball players.
Complete parts (a) through (c) below.
Player Height_(inches)
Weight_(pounds)
Player_1 76 227
Player_2 75 197
Player_3 72 180
Player_4 82 231
Player_5 69 185
Player_6 74 190
Player_7 75 228
Player_8 71 200
Player_9 75 230
(b) Determine the least-squares regression line. Test whether
there is a linear relation between height and weight at the
alphaαequals=0.05
level of significance.
Determine the...
The data in the accompanying table represent the heights and weights of a random sample of...
The data in the accompanying table represent the heights and
weights of a random sample of professional baseball players.
Complete parts (a) through (c) below.
Player
Height (inches)
Weight (pounds)
Player 1
75
225
Player 2
75
197
Player 3
72
180
Player 4
82
231
Player 5
69
185
Player 6
7474
190190
Player 7
75
228
Player 8
71
200
Player 9
75
230
(a) Draw a scatter diagram of the data, treating height as the
explanatory variable...
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