Question
In: Statistics and Probability
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):
Solutions
orchestra answered 1 year agoRelated Solutions
The file Sedans contains the overall miles per gallon (MPG) of 2013 midsized sedans: 38 26...
The file Sedans contains the overall miles per gallon
(MPG) of 2013 midsized sedans:
38 26 30 26 25 27 22 27 39 24 24 26 25
23 25 26 31 26 37 22 29 25 33 21 21
Source: Data extracted from “Ratings,” Consumer Reports,
April
2013, pp. 30–31.
a. Compute the mean, median, and mode.
b. Compute the variance, standard deviation, range, coefficient
of
variation, and Z scores.
c. Are the data skewed? If so, how?
d. Compare...
The file Sedans contains the overall miles per gallon (MPG) of 2013 midsized sedans: 38,26,30,26,25,27,22,27,39,24,24,26,25,23,25,26,31,26,37,22,29,25,33,21,21 Source:...
The file Sedans contains the overall miles per gallon (MPG) of
2013 midsized sedans:
38,26,30,26,25,27,22,27,39,24,24,26,25,23,25,26,31,26,37,22,29,25,33,21,21
Source: Data extracted from "ratings," Consumer
Reports, April 2013, pp. 30-31.
A) Construct a 95% confidence interval estimate for the
population mean MPG of 2013 family sedans, assuming a normal
distribution.
B) Interpret the interval constructed in (a).
C) Compare the results in (a) to those in Problem 8.20(a).
A car manufacturer claims that the miles per gallon (mpg) of all its midsize cars can...
A car manufacturer claims that the miles per gallon (mpg) of all
its midsize cars can be modeled with a normal model with N(33,
1.70).
What proportion of cars have miles per gallon less than 31.2
[P(x ≤31.2 mpg)]?
What proportion of cars will have miles per gallon greater than
36 [P(x ≥36 mpg)]?
What proportion of cars will have miles per gallon less than
30[P(x ≤30 mpg)]?
What proportion of cars will have miles per gallon between 32
and...
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...
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...
Suppose that the miles-per-gallon (mpg) rating of passenger cars is a normally distributed random variable with...
Suppose that the miles-per-gallon (mpg) rating of passenger cars
is a normally distributed random variable with a mean and standard
deviation of 33.8 and 3.5 mpg, respectively.
a. What is the probability that a randomly selected passenger
car gets more than 35mpg?
b. a random sample of twenty-five passenger cars is selected.
Denote Xbar as the sample average mpg of this twenty-five. What is
the mean and standard deviation of Xbar?
c. What is the probability that the average mpg...
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