Question
Engines One measure of the size of an automobile
engine is its “displacement,” the total volume (in liters or
cubic inches) of its cylinders. Summary statistics for sev-
eral models of new cars are shown. These displacements
were measured in cubic inches.
a) How many cars were measured?
b) Why might the mean be so much larger than the
median?
c) Describe the center and spread of this distribution
with appropriate statistics.
d) Your neighbor is bragging about the 227-cubic-inch
engine he bought in his new car. Is that engine unusu-
ally large? Explain.
e) Are there any engines in this data set that you would
consider to be outliers? Explain.
f) Is it reasonable to expect that about 68% of car
engines measure between 88 and 266 cubic inches?
(That’s 177.289 { 88.8767.) Explain.
g) We can convert all the data from cubic inches to
cubic centimeters (cc) by multiplying by 16.4. For
example, a 200-cubic-inch engine has a displacement
of 3280 cc. How would such a conversion affect each
of the summary statistics?
Summary of Displacement
Count
38
Mean
177.29
Median
148.5
StdDev
88.88
Range
275
25th % tile
105
75th %tile
231
View transcribed image text
Expand

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Traffic headaches A study of traffic delays in 68 U.S.cities found the following relationship betwee...

A: The data represents the relationship between the total delay of traffic in hours and main highway sp...

Q: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe t...

A: Click to see the answer

Q: Tobacco and alcohol Are people who use tobacco prod-ucts more likely to consume alcohol? Here are da...

A: Click to see the answer

Q: What design? Analyze the design of each researchexample reported. Is it a sample survey, an observat...

A: Click to see the answer

Q: Given that X̄=20, σ=9 and n=81, construct the following confidence intervals: the 95% confidence int...

A: Introduction: The 100 (1 – α) % confidence interval for the population mean, μ, when the population ...

Q: After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired onl...

A: Introduction: Denote p as the true proportion women hired by the company. Assuming no gender discrim...

Q: 10. Jackpot On February 11, 2009, the AP news wirereleased the following story:(LAS VEGAS, Nev.)—A m...

A: a. The biggest slot machine payout ever is hitting a jackpot at $38.7 million. The maker made a stat...

Q: Winter in the city Summary statistics for the data relat-ing the latitude and average January temper...

A: a. Find the percent of variation in January temperature can be explained by variation in Latitude. T...

Q: You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based...

A: Click to see the answer

Transcribed Image Text

Summary of Displacement Count 38 Mean 177.29 Median 148.5 StdDev 88.88 Range 275 25th % tile 105 75th %tile 231