1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergiy2304 [10]
3 years ago
9

In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a

number of high outliers, mainly hybrid gas‑electric vehicles. If we ignore the vehicles identified as outliers, however, the combined city and highway gas mileage of the other 1146 vehicles is approximately Normal with mean 23.0 miles per gallon (mpg) and standard deviation 4.9 mpg.
The quartiles of any distribution are the values with cumulative proportions 0.25 and 0.75. They span the middle half of the distribution.
a. What is the first quartile of the distribution of gas mileage?
b. What is the third quartile of the distribution of gas mileage?
Mathematics
1 answer:
Nady [450]3 years ago
5 0

Answer:

a. 19.68 miles per gallon.

b. 26.32 miles per gallon.

Step-by-step explanation:

Mean gas mileage (μ) = 23.0 mpg

Standard deviation (σ) = 4.9 mpg

In a normal distribution, for any length X, the z-score is determined by the following expression:

 z=\frac{X-\mu}{\sigma}

In a normal distribution, the 25th percentile  (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile  has a corresponding z-score of z = 0.677

a. The first quartile of the distribution of gas mileage is

-0.677=\frac{X_{25}-23}{4.9}\\X_{25}=19.68\ mpg

19.68 miles per gallon.

b. The third quartile of the distribution of gas mileage is

0.677=\frac{X_{25}-23}{4.9}\\X_{25}=26.32\ mpg

26.32 miles per gallon.

You might be interested in
X y
xenn [34]
B) y = 4x

X| * |Y|
2|2*4|8 |
3|3*4|12|
4|4*4|16|
5|5*4|20|
7 0
3 years ago
Read 2 more answers
If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar because of the _____.
OlgaM077 [116]
B.) If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar because of the "<span>ASA Similarity Postulate"

Hope this helps!</span>
4 0
3 years ago
Read 2 more answers
I need some help on the question below please, and thank you.
White raven [17]
It might be 31 if you add all the numbers together but I'm not positive.
6 0
3 years ago
Lines e and fare parallel. The m29 = 80° and m25 =
otez555 [7]
I have the same question can someone help
3 0
2 years ago
An above ground swimming pool is leaking after 1 and 1/2 hours the pool has leaked 7/8 of a gallon of water how many gallons of
slega [8]

Answer:

7/12 gallons per hour or 0.58 gallons per hour

3 0
3 years ago
Other questions:
  • At a shelter 15% of the dogs are puppies. There are 60 dogs at the shelter. How many are puppies?
    5·2 answers
  • Hey I need help with the bottom part?
    8·1 answer
  • NEED HELP ASAP!! FILL IN THE BLANKS!! I'LL MARK YOU BRAINLIEST IF YOU ANSWER RIGHT!!!​
    5·1 answer
  • 1/2(2x + 4)= 3x - c please answer quick
    11·2 answers
  • Devin has 39 toy blocks. What is the value of the digit 9 in this number?
    7·2 answers
  • I need help on this
    8·2 answers
  • If f(x)=1/x+2/x, then f(1/3)=
    10·1 answer
  • Help me please thanks
    12·1 answer
  • Need help ASAP ITS DUE Soon???!!!
    6·1 answer
  • the annual yield of mango orchard is 656 565 kg.in the second year,the yield of mango orchard decreased by 100 984 kg.how much m
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!