A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type are driven for 1000 miles on each of 18 different cars. In a separate experiment, 18 cars were outfitted with tires with tread type A, and another 18 were outfitted with tires with tread type B. Each car was driven 1000 miles. The cars with tread type A averaged 23.95 mpg, with a standard deviation of 1.79 mpg. The cars with tread type B averaged 22.19 mpg, with a standard deviation of 1.95 mpg. Let μX represent the population mean mileage for tread type A and let μY represent the population mean mileage for tread type B.
Required:
Find a 99% confidence interval for the difference μXâμY. Round the answers to three decimal places.
Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).
We are given the standard deviation for the samples, hence, the t-distribution is used to solve this question.
The standard errors are given by:
[tex]s_A = \frac{1.79}{\sqrt{18}} = 0.4219[/tex]
[tex]s_B = \frac{1.95}{\sqrt{18}} = 0.4596[/tex]
For the distribution of differences, the mean and the standard error are given by:
[tex]\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76[/tex]
[tex]s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239[/tex]
The interval is given by:
[tex]\overline{x} \pm ts[/tex]
The critical value for a two-tailed 99% confidence interval with 18 + 18 - 2 = 34 df is t = 2.7284.
Then:
[tex]\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058[/tex]
[tex]\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462[/tex]
The 99% confidence interval for the difference is (0.058, 3.462).
For more on the t-distribution, you can check https://brainly.com/question/16162795
Question 8 of 10
The blue segment below is a radius of 0. What is the length of the diameter
of the circle?
A. 6.35 units
B. 25.4 units
o
12.7
C. 19.05 units
OD. 12.7 units
Step-by-step explanation:
the diameter is 2 times the radius.
so,
12.7×2 = 25.4
so, B is right.
Which represents discrete data? Question 17 options: A) The price of hamburger meat per pound B) The volume of water in a swimming pool C) The number of pens in a package D) The speed of a train
Answer: C
Step-by-step explanation:
The Number Of pen in a package.
Answer:
B
Step-by-step explanation:
The number of pins in package
How many solutions are there to the equation below?
6x + 33 = 6(x+6)
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve ~
[tex]6x + 33 = 6(x + 6)[/tex][tex]6x + 33 = 6x + 36[/tex]Here, 6x is present on both the sides of equation so they cancel out ~ therefore there is no one solution satisfying the equation ~
Answer:
there are zero solutions
\_(-_-)_/
i asked g o o g l e thats what it said
can someone help me with this question
well, since each bar is parallel to the adjacent one, so if A || B || C || D || E || F, then A || F.
now, for the angles, Check the picture below.
2. What is the largest composite number less than 40?
Answer:
39
Step-by-step explanation:
39
Step-by-step explanation:
13 × 3 = 39
The largest composite number less than 40 is 39
You get brainist plz
Answer:
54
Step-by-step explanation:
54
In a recent year, 32.4% of all registered doctors were female. If there were 47,400 female registered doctor that year, what was the total number of registered doctors?
Answer:
come, seamen or even spherm
Step-by-step explanation:
basically when the male and female get involved in sexual activity it creates a child through sperm and egg interaction. the fastest sperm wins the race and 68.6% of them are male doctors
Pls help brainlist pls help
Answer:
The slope of the function represents how much the function rises per amount that it moves horizontally.
Step-by-step explanation:
PLEASEE HELPP I WILL GIVE BRAINLIEST
Answer:
p=0.4
Step-by-step explanation:
6(p+2.25)=15.9
6p+13.5=15.9
6p=2.4
p=0.4
A rectangular garden to contain 3 length segments and 4 width segments. The total amount of fencing required is 24 meters. What is the maximum possible area
Answer:
12 meters sq
Step-by-step explanation:
area= length x width
area= 3x4
area=12 meters sq
megan feeds her dog 1/2 cup of food each morning and each evening. how much food does she feed him in a 7 day week
Answer:
7 cups
Step-by-step explanation:
1/2 * 2 times per day * 7 days per week = 7
If the value of a=2,y=3,find the value of x in ax/y=10
[tex]\dfrac{ax}y =10\\\\\implies \dfrac{2x}{3} = 10\\\\\implies 2x = 30\\\\\implies x = \dfrac{30}2 = 15[/tex]
Answer:
x = 15
Step-by-step explanation:
[Given] ax/y=10
[Rewrite] [tex]\frac{ax}{y} =10[/tex]
[Plug-in] [tex]\frac{(2)x}{(3)} =10[/tex]
[Simplify] [tex]\frac{2x}{3} =10[/tex]
[Multiply both sides by 3] 2x = 30
[Divide both sides by 2] x = 15
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
consider the following matrix. I need to know if the system has zero or infinite solutions or just one solution and if the matrix does/does not have an inverse.
Answer:
I think it would be no solution
Step-by-step explanation:
since there is the same slope, the line would never cross. Also the determinate is 0 or 1/0, so there would be no solution
Please help answer this question picture is including
Answer:
B.15
Step-by-step explanation:
The answer is 15 because we can identify this shape as a quadrilateral kite
So, we know that a quadrilateral kite has two pairs of congruent adjacent sides
Therefore AB = AC and BD = DC
If the Owen family has a child in two years, how much can they expect to spend, per year, to raise the child from its birth to when it is five years old?
Answer: A. 65,250+139,560= 204,810. 204,810/18=11,378
I hope it is right
Answer:
The answer would be 13,050
Step-by-step explanation:
In order to get the answer, you have to do 65,250 divided by 5 years and you should get 13,050 on your calculator.
cite a real life situation that describes the concept of direct and inverse variation. create your own word problem and answer it. present your answer with table of values, graph and equation
A need a appropriate answer, thanks...
Step-by-step explanation:
An example of direct variation would be the relationship of distance with time when speed is constant.
d = stLet's assume you travel at the speed of 60 mph. The distance at 0, 0.5, 1, 2 hours would be 0, 30, 60, 120 miles.
d = 60tThis is a linear relationship and produces a graph of line.
See the graph.
--------------------
An example of inverse variation would be the time to complete the same work as number of workers increase.
t = w/p, where w is work (constant), p- number of workersAssume 5 workers complete wok in 20 days, 10 workers do same in 10 days, 20 workers do in 5 days.
t = 100/pThis relationship produces a curved line.
See the graph.
How to expand
5(2m)^3
If 15 points is 13 cents how much would 5000 be?
Answer: at least 50 dollars
Step-by-step explanation:
Step-by-step explanation:
15 points ⇒ 13 cents5000 points ⇒ xCross-multiply to find x:
x = 5000*13/15x = 4333 cents or $43.33Write the equation in point slope form of the perpendicular bisector of A(5,-8) and b(-3,1) 
Answer:
chu papi
Step-by-step explanation:
Find the sum or difference. Enter the answer as a fraction, using the slash ()
as the fraction bar.
2/15+5/15
Answer:
7/15
Step-by-step explanation:
2/15 + 5/15 = 7/15
Hoped this helped.
make the subject x of the formula y = 7x + 4
Answer:
[tex]x = \frac{y - 4}{7}[/tex]
Step-by-step explanation:
[tex]y = 7x + 4 \\\\y - 4 = 7x\\\\\frac{y - 4}{7} = \frac{7x}{7}\\ \\ \frac{y - 4}{7} = x[/tex]
solve the equation 3/4x - 5 = x give your answers correct to 2 decimal places
Answer:
3/4x - 5 = x
= -3/10 -> -0.15
2 Decimal places = 0.150
Write a function in any form that would match the graph shown below
9514 1404 393
Answer:
f(x) = 2(x +2)^2(x -5)
Step-by-step explanation:
The root at x=-2 has even multiplicity. The curve is not flat there, so the multiplicity is 2, not higher. The root at x=5 has multiplicity 1. Then the factored form of this cubic is ...
f(x) = a(x +2)^2·(x -5)
The local minimum when a=1 is about -50, so we judge the leading coefficient to be 2. The desired function is ...
f(x) = 2(x +2)^2(x -5)
Choose the end behavior of the graph of each polynomial function
Answer:
D, A, B
Step-by-step explanation:
The sign of the leading coefficient always tells you the end behavior on the right: positive = rises; negative = falls.
The degree of the polynomial tells you how the left- and right-end behaviors compare: even = they are the same; odd = they are opposites.
__
A) negative leading coefficient, even degree:
falls to the left, falls to the right (D)__
B) positive leading coefficient, odd degree:
falls to the left, rises to the right (A)__
C) negative leading coefficient, odd degree
rises to the left, falls to the right (B)One thousand dollars is deposited into an ordinary annuity after each 6 month period for 2 years. The account pays 4 percent interest compounded semiannually.what is the future value of the account in 2 years ??
Answer:
$4121.61
Step-by-step explanation:
Use the formula for the balance of an ordinary annuity.
A = P((1 +r/n)^(nt) -1)/(r/n)
A = $1000((1 +.04/2)^(2·2) -1)/(.04/2) ≈ $4121.61
The future value of the account is $4121.61.
An oil company estimates that only 1 well in 20 will yield commercial quantities of oil. Assume that successful drilled wells represent independent events. If 5 wells are drilled, find the probability of obtaining a commercially successful well for the following number of times. (Round your answer to six decimal places.) exactly 1
Please take a look at the picture for the question
Answer:
A
Step-by-step explanation:
A bag contains 8 white marbles, 4 green marbles and 3 blue marbles. 2 marbles are selected at random without replacement, find the probability both green
Pythagoras theorem
Please answer will mark BRAINELIST :)
Answer:
Step-by-step explanation:
Since we are to show by Pythagoras that the square will fit inside the circle without touching the edge of the circle , this means that we must find the value of the length of the diagonal of the square using Pythagoras.
For the square to fit in without touching the edge of the circle , this means that the diagonal of the square must be less than the diameter of the circle.
Length of the square is 5cm.
Recall Pythagoras theorem: it states that
the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides
= +
= 25 + 25
= 50
Take the square root of both sides , that is
D =
D = X , since 50 = 25 x 2
D = 5
D ≈ 7.07
