Question
In: Statistics and Probability
The table below contains the overall miles per gallon (MPG) of a type of vehicle. Complete...
The table below contains the overall miles per gallon (MPG) of a type of vehicle. Complete parts a and b below.
|
2929 |
2727 |
2323 |
3535 |
2828 |
2020 |
2828 |
3030 |
2929 |
2727 |
3535 |
2929 |
3434 |
3333 |
a. Construct a 99% confidence interval estimate for the population mean MPG for this type of vehicle, assuming a normal distribution. The 99% confidence interval estimate is from:
MPG to MPG.
(Round to one decimal place as needed.)
b. Interpret the interval constructed in (a)
Solutions
Expert Solution
Solution:
| x | x2 |
| 2929 | 8579041 |
| 2727 | 7436529 |
| 2323 | 5396329 |
| 3535 | 12496225 |
| 2828 | 7997584 |
| 2020 | 4080400 |
| 2828 | 7997584 |
| 3030 | 9180900 |
| 2929 | 8579041 |
| 2273 | 5166529 |
| 5352 | 28643904 |
| 9293 | 86359849 |
| 4343 | 18861649 |
| 3333 | 11108889 |
 x
= 49753 |
x2
= 221884453 |
a ) The sample mean is 
Mean
= (x
/ n) )
= ( 2929 + 2727 + 2323 + 3535 + 2828 + 2020 + 2828 + 3030 + 2929 + 2727 + 3535 + 2929 + 3434 + 3333 / 14 )
= 49753/ 14
= 3553.0714
Mean
= 3553.1
The sample standard is S
S = 
(
x2 ) - ((
x)2 / n ) n -1
=
(221884453 ( 49753 )2 / 14 ) 13
=
( 221884453 - 176740432.0714 / 13)
=
(45144020.9286 / 913)
=
3472616.9945
= 1863.4959
The sample standard is 1863.5
b ) At 99% confidence level the t is ,
= 1 - 99% = 1 - 0.99 = 0.01
/ 2 = 0.01 / 2 = 0.005
t
/2,df = t0.005,13 = 3.012
Margin of error = E = t/2,df
* (s /
= 3.012 * (1863.5 /
= 1500.1
Margin of error = 1500.1
The 99% confidence interval estimate of the population mean is,
- E < 
<
+ E
3553.1 - 1500.1 <
< 3553.1 + 1500.1
20523.0<
< 5053.2
(20523.0, 5053.2 )
orchestra answered 1 year agoRelated Solutions
he table below contains the overall miles per gallon (MPG) of a type of vehicle. Complete...
he table below contains the overall miles per gallon (MPG) of a
type of vehicle. Complete parts a and b below.
29
27
23
35
28
20
28
30
29
27
35
29
34
33
a. Construct a 99% confidence interval estimate for the
population mean MPG for this type of vehicle, assuming a normal
distribution.The 99% confidence interval estimate is from
MPG to MPG. (MPG) Miles per gallon.
(Round to one decimal place as needed.)
b. interpret the interval...
The table below contains the overall miles per gallon (MPG) of a type of vehicle. 28...
The table below contains the overall miles per gallon (MPG) of
a type of vehicle.
28
29
24
22
29
32
23
25
35
32
35
23
26
34
Construct a 95% confidence interval estimate for the population
mean MPG for this type of vehicle, assuming a normal
distribution.The 95% confidence interval estimate is from ____ MPG
to ____ MPG.
(Round to one decimal place as needed.)
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).
Overall, the Miles Per Gallon for customers of MallState is normally distributed around 34 MPG with...
Overall, the Miles Per Gallon for customers of MallState is
normally distributed around 34 MPG with a standard
deviation of 2.5 MPG.
In looking to reward environmentally friendly drivers, the
insurer decides to reward drivers whose cars rank in the top 10%ile
of MPG. What is the top 10%ile and which guest(s) from problem G
would benefit from this program?
Below is a frequency distribution for the estimated miles per gallon (MPG) for 530 different models...
Below is a frequency distribution for the estimated miles per
gallon (MPG) for 530 different models of American-made cars.
American-Made Cars
MPG
Frequency
7 - 12
57
13 - 18
177
19 - 24
167
25 - 30
77
31 - 36
40
37 - 42
12
(a) Identify the following
class midpoints (enter as a comma-separated list)
class boundaries (enter as a comma-separated list)
class width
(b) Create a relative frequency table from the frequency
table.
American-Made Cars
MPG...
It is necessary for an automobile producer to estimate the number of miles per gallon (mpg)...
It is necessary for an automobile producer to estimate
the number of miles per gallon (mpg) achieved by its cars. Suppose
that the sample mean for a random sample of 5050 cars is 30.630.6
mpg and assume the standard deviation is 3.63.6 mpg. Now suppose
the car producer wants to test the hypothesis that μμ, the mean
number of miles per gallon, is 31.631.6 against the alternative
hypothesis that it is not 31.631.6. Conduct a test using a
significance level...
It is necessary for an automobile producer to estimate the number of miles per gallon (mpg)...
It is necessary for an automobile producer to estimate
the number of miles per gallon (mpg) achieved by its cars. Suppose
that the sample mean for a random sample of 5050 cars is 30.630.6
mpg and assume the standard deviation is 3.63.6 mpg. Now suppose
the car producer wants to test the hypothesis that μμ, the mean
number of miles per gallon, is 31.631.6 against the alternative
hypothesis that it is not 31.631.6. Conduct a test using a
significance level...
Your car gets 22 miles per gallon (MPG) at 55 miles per hour (MPH) and 18...
Your car gets 22 miles per gallon (MPG) at 55 miles per hour
(MPH) and 18 MPG at 65 MPH. At what speed should you make a
450-mile trip 1. If gas costs $2.95 per gallon and your time is
worth $17/hour? 2. If gas costs $3.80 per gallon and your time is
worth $11.5/hour? 3. If gas costs $4.75 per gallon and your time is
worth $8.9/hour? 4. Building an Excel spreadsheet to calculate the
total trip cost for...
Your car gets 25 miles per gallon (mpg) at 60 miles per hour (mph) and 18...
Your car gets 25 miles per gallon (mpg) at 60 miles per hour
(mph) and 18 mpg at 70 mph. At what speed should you make a
600-mile trip:
1. If gas costs $3 per gallon and your time is worth $12 per
hour?
2. If gas costs $4 per gallon and your time is worth $15 per
hour?
3. If gas costs $5 per gallon and your time is worth $10 per
hour?
4. Build a spreadsheet to calculate...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Compare the MOSFET, JFET , and BJT and identify the reasons these devices behave differently. What...
- How would you use SAS Enterprise Miner to create a neural network model of your example?
- Explain the use of neural networking modeling in predictive analytics.
- Current Market Mix of Netflix, as detail as possible, please.
- This is all one question, thank you so much in advance! You must evaluate a proposal...
- X Company is considering the purchase of a new processor that costs $200,000. Shipping and setup...
- There are a large number of tasks involved in information technology and programming, and many of...
ADVERTISEMENT