For a sample of 9 automobiles, the mileage (in 1000s of miles) at which the original front brake pads were worn to 10% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to 10% of their original thickness. The results were as follows:
Car Rear Front
1 41.6 32.6
2 35.8 26.7
3 46.4 37.9
4 46.2 36.9
5 38.8 29.9
6 51.8 42.3
7 51.2 42.5
8 44.1 33.9
9 47.3 36.1
Find a 95% confidence interval for the difference in mean lifetime between the front and rear brake pads.

Answers

Answer 1

Answer:

(8.734 ≤ μd ≤ 10.026)

Step-by-step explanation:

Given the data:

Car Rear Front

1 41.6 32.6

2 35.8 26.7

3 46.4 37.9

4 46.2 36.9

5 38.8 29.9

6 51.8 42.3

7 51.2 42.5

8 44.1 33.9

9 47.3 36.1

Difference, d :

9, 9.1, 8.5, 9.3, 8.9, 9.5, 8.7, 10.2, 11.2

Mean difference, μd = Σd / n = 84.4 / 9 = 9.38

Standard deviation of difference, Sd = 0.84 (calculator)

The confidence interval :

μd ± margin of error

Margin of Error = Tcritical * Sd/√n

TCritical at 95%, df = 9-1 = 8

Tcritical = 2.306

Margin of Error = 2.306 * (0.84/√9) = 2.306*(0.84/3) = 0.64568

Lower boundary = 9.38 - 0.64568 = 8.73432

Upper boundary = 9.38 + 0.64568 = 10.02568

(8.734 ; 10.026)


Related Questions

What is x if 2784 = 36x?

Answers

Answer:

77 1/3

Step-by-step explanation:

to get x you have to divide both sides by 36

2784=36x

x=77 1/3

you can also use an algebra calculator for it

Answer:

77.333

Step-by-step explanation:

So we are given the equation

2784 = 36x

But we need to find the value of just x. So if 36 x = 2784:

2784/36 = x

How did we do this? Well, we divided each side of the equation by 36, which gives us the amazing value of just x.

Solve the equation

77.333 = x

Now, lets check our work:

77.333 x 36 = 2783.88

This is the closest I believe we can get.

Hope this helps!

--Applepi101

The image of the point (-5, 1) under a translation is (-6,3). Find the
coordinates of the image of the point (2, -3) under the same translation.

Answers

Answer:

The coordinates are (1,-1).

Step-by-step explanation:

The image of the point (-5, 1) under a translation is (-6,3).

Point x was -5 and now is -6, and y was 1 and now is 3. Thus, the transaction rule is:

(x,y) -> (x - 1, y + 2)

Find the coordinates of the image of the point (2, -3) under the same translation.

(2,-3) -> (2-1, -3 + 2) = (1,-1)

The coordinates are (1,-1).

To the nearest cubic centimeter, what is the volume of the regular hexagonal prism?

Answers

Answer:

The volume is 164cm^3

Step-by-step explanation:

Given

[tex]h = 7[/tex] --- height

[tex]a = 3[/tex] --- base length

[tex]r = 2.6[/tex]

Required

The volume

The volume (V) is calculated as:

[tex]V = \frac{3\sqrt 3}{2}a^2h[/tex]

This gives:

[tex]V = \frac{3\sqrt 3}{2} * 3^2 * 7[/tex]

[tex]V = \frac{3\sqrt 3}{2} * 9 * 7[/tex]

[tex]V = \frac{3\sqrt 3}{2} * 63[/tex]

[tex]V = \frac{3*1.7321}{2} * 63[/tex]

Using a calculator, we have:

[tex]V = 163.68[/tex]

Approximate

[tex]V = 164cm^3[/tex]

Bronco, Inc., imposes a payback cutoff of three years for its international investment projects.

Year Cash Flow (A) Cash Flow (B)
0 –$ 61,000 –$ 71,000
1 23,500 15,500
2 29,000 18,500
3 21,500 27,000
4 8,500 231,000

What is the payback period for both projects?

Answers

Answer:

4476966756TTTVFD

Step-by-step explanation:

Pls help extra points and mark brainlist

Answers

Answer:

IQR = 16

Step-by-step explanation:

IQR = 75% - 25%.

Reading from the box plot: 75% = 22 and 25% = 6.

22 - 6 = 16

To ease congestion in a downtown area, city planners are considering a plan to widen a major thoroughfare from
two driving lanes to three driving lanes. This plan would require closing a section of downtown streets as the work
begins. In order to assess public support for the plan, city planners provided a phone number to residents that could
be used to register opinion for or against the plan. In total, 267 calls were received, with only 24% supporting it.
Which statement describes the most likely type of bias in this setting?
This is nonresponse bias because many residents may choose to not participate.
This is question wording bias because the phrasing of the plan may have confused some residents.
This is voluntary response bias because residents could choose to call and register their opinion.
O This is response bias because residents may not be honest with their feelings about the plan.

Answers

Answer:

the answer is C. This is voluntary response bias because residents could choose to call and register their opinion.

Step-by-step explanation:

just got 100 on the quiz

Damian works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f damian can use to find his pay. Hours 1 1.5 2 2.5 3 Pay 18 23 28 33 38 A. f(x) = 10x + 8 B. f(x) = 15x + 3 C. f(x) = 0.5x + 1 D. f(x) = x + 18

Answers

Answer:

On Saturdays, Eve earns $14 per hour for yard work and an extra amount for dog walking. Look ... Choose the linear function f Eve can use to determine her pay. ... Each day he is paid a set amount, plus an hourly wage. ... Hours 1 1.5 2 2.5 3 ... Using the trend line y = 8x + 8, for the data shown, complete the residual table.

Step-by-step explanation:

PLEASE WILL MARK BRAINLIEST / ITS VERY EASY (PROBABLY)

Answers

Answer:

Answer given below

Step-by-step explanation:

1.  [tex]\frac{1}{5}x + \frac{1}{3} - \frac{2}{5}x = \frac{-1}{5}x + \frac{1}{3}[/tex]

2.  [tex]\frac{1}{5} x + \frac{1}{3} + \frac{2}{5} x = \frac{3}{5} x + \frac{1}{3}[/tex]

3.  [tex]\frac{2}{5}+ \frac{2}{3}x- \frac{1}{5} = \frac{2}{3}x+ \frac{1}{5}[/tex]

Two​ trains, Train A and Train​ B, weigh a total of 351 tons. Train A is heavier than Train B. The difference of their weights is 181 tons. What is the weight of each​ train?

Answers

Answer:

Train A is 266 and Train B is 85

Step-by-step explanation:

If the difference is 181 tons, then subtract the difference to get double the weight of the lightest train.

351 - 181 = 170

170 ÷ 2 = 85

If B is the lightest, B is 85.

For A, either add the difference back or subtract 85 from 351.

85 + 181 = 351 - 85 = 266

Find the slope of the line that passes through these points.
(2, 2) and (4, 4)

Answers

Answer:

1

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 4-2)/(4-2)

   = 2/2

   = 1

Which mathematical property is demonstrated below? 3 + 0 = 3
Identity Property
Indemnify Property
Idiocy Property
Idolatry Property

Answers

Answer: Identity Property

Step-by-step explanation:

The rest have very fake names lol

Answer:

Identity Property

Step-by-step explanation:

Identity Property :

Any number plus zero is the original number.

Hope it is helpful....

Find the sum of 5/8 + 3/10 *

Answers

Answer:

37 / 40 or 0. 925

Step-by-step explanation:

5/ 8 + 3 / 10

= 37 / 40

= 0. 925

Mark brainliest pls

This might acually affect Lebron's Legacy

find the surface area of the composite figure

Answers

Answer:

791.7 in.²

Step-by-step explanation:

Surface area of the composite figure = ½(surface area of sphere) + surface area of cylinder

= ½(4πr²) + (2πr(h + r)

Where,

r = ½(12) = 6 in.

h = 9 in.

SA = ½(4*π*6²) + (2*π*6(9 + 6)

SA = ½(452.39) + 565.49

SA = 791.685

SA = 791.7 in.² (nearest tenth)

A random sample of 25 students in a school shows that the mean number of hours of sleep per night is 7.4 and the MAD
(mean absolute deviation) is 0.4.
Select the statement that is true.
A. The mean of this sample is likely to be the same as the mean number of hours of sleep per night of all students
in the school
B. A random sample of 50 students would likely provide a more accurate estimate of the mean number of hours of
sleep per night
C. Another random sample of 25 students is likely to have a mean between 70 and 7 8.

Answers

I am not sure what the answer is either. I am waiting for somebody to answer

Answer:it’s A

Step-by-step explanation:

how am i Invisible???????????????/

Answers

Answer:

being blind

Step-by-step explanation:

if you are blind you can not see your self so there for you are invisable

Answer:

Have you tried to put a profile picture that's bold and bright? and not white and blank? maybe it's because its a brainly techno error

Step-by-step explanation:

please help.............................

Answers

Answer:

Step-by-step explanation:

Like therms have the same literal part

-6/7p + 1/7


The length of a rectangle is 6.7 cm, correct to 2 significant figures. For the length of the rectangle
write down the lower bound

Answers

Answer:

[tex]Lower\ Bound = 6.65cm[/tex]

Step-by-step explanation:

Given

[tex]Length = 6.7cm[/tex] to 2sf

Required

The lower bound

The lengths are approximately 6.7cm to 2sf are:

[tex]Length = \{6.65 \to 6.74\}[/tex]

Such that:

[tex]Length = \{Lower\ Bound \to Upper\ Bound\}[/tex]

So, by comparison:

[tex]Lower\ Bound = 6.65cm[/tex]

A plumber can complete a job in 2 hours. If an apprentice helps, it takes only 1 1/3 hours. How long would it take the apprentice working alone?​

Answers

Hello there I hope you are having a great day :) You Question A plumber can complete a job in 2 hours. If an apprentice helps, it takes only 1 1/3 hours. How long would it take the apprentice working alone?

(1 1/3) / 2 + (1 1/2) / a = 1

(4/3)a + (4/3)2 = 2a              multiply both sides by 2a

(4/3)2 = (2/3)a                      subtract (4/3)a from both sides

8/3 = 2a/3                            simplify

8 = 2a

4 = a

Hopefully that help you :)

A box contains four red balls and eight black balls. Two balls are randomly chosen from the box, and are not replaced. Let event B be choosing a black ball first and event R be choosing a red ball second. What are the following probabilities? P(B) = ✔ 8/12 P(R | B) = ✔ 4/11 P(B ∩ R) = The probability that the first ball chosen is black and the second ball chosen is red is about percent

Answers

Answer:

P(B) = 8/12

P(R | B) = 4/11

P(B ∩ R) = 8/33

The probability that the first ball chosen is black and the second ball chosen is red is about  24 percent.

Step-by-step explanation:

I just got it right on edge 2020. Good luck with school!!

The probability that the first ball chosen is black and the second ball chosen is red is about percent is 66.67%.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, a box contains four red balls and eight black balls.

Let event B be choosing a black ball first and event R be choosing a red ball second.

Here, total number of outcomes = 4+8 =12

P(B) = 8/12 and P(R)=4/12

We know that, P(R|B) =P(R∩B)/P(B)

Here, P(R∩B)= 8/12 × 4/12

= 2/3 × 1/3

= 2/9

So, P(R|B) =2/9 × 12/4

= 2/3 ×100

= 66.67%

Therefore, the probability that the first ball chosen is black and the second ball chosen is red is about percent is 66.67%.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ3

b. Convert 17 g to oz ​

Answers

Answer:

2176 ounces

Step-by-step explanation:

one gallon has 128 ounces

If f(x) = 6x3 – 11x2
6x3 – 11x2 – 26x + 15 and
f(3) = 0, then find all of the zeros of f(x)
algebraically.

Answers

Answer:

f(6)g(8)

f(3)=0

Step-by-step explanation:

its a mathematics formula its ia trick

Can somebody please help me out please my grads are bad

Answers

Answer:

a) mode = 7

b) range = 8

Step-by-step explanation:

7 appears the most in the dataset, making it the mode

8 is because of 9 (highest value) minus one (lowest value) = 8

Find the coordinates of T' after the given translation.
O a. T' (-5,-3)
O b. T' (-3.4)
O c. T'(-5, -1)
O d. T' (-4,2)

Answers

I believe it’s C because the original coordinates where (1, -3) all you will have to do it’s subtract -6 by 1 and add 2 and -3

Which of the following phrases translates to x - 9?
nine minus a number
nine decreased by a number
the difference between nine and a number
nine subtracted from a number

Answers

Answer:

the difference between nine and a number

Step-by-step explanation:

The probability of randomly selecting a female customer from a group of 34 customers in a supermarket is 85%. Which of the following describes the likelihood of selecting a female customer? A. unlikely B. likely C. neither likely nor unlikely​

Answers

Answer:

b.likley

Step-by-step explanation:

We can look at this like if we have less than a 50% probability it would be unlikley, vice versa if we have a more than a 50% probability than it will be likley. and if we had exactly 50% iit will be none, but in this case we have 85% which is more than 50% so its likley. hope this helped bae

We're working on Area of a Triangles on Coordinate Grids what's the area of this triangle here? The screenshot attachment is the problem that needs to be solved. If someone could answer quickly I would appreciate it! This is geometry by the way.

Answers

Answer:

11.5 square units

Step-by-step explanation:

It’s a 4 by 6 rectangle, so the total is 24.  Then subtract the three little triangles on the outside.  (Much easier than doing the main triangle).

1/2x1x4=2

1/2x1x6=3

1/2x3x5=7.5

2+3+7.5=12.5

24-12.5=11.5

Both questions I need help with please!!

Answers

First is 58 second is 106

Answer:

15: 58 degrees. 16: Answer D

Step-by-step explanation:

Question 15

All you have to do for this one is to add the angle measures of 22 and 36 degrees together to get the answer of 58 degrees.

Question 16

The interior angles of a triangle will always add up to 180 degrees.

Therefore, 180 - 53 - 21 is the answer, which totals 106 degrees.

What is the effective rate of interest if $1,000 compounds to $1,331 in 3 years?
The effective rate of interest, if $1,000 compounds to $1,331 in 3 years is
%.

Answers

9514 1404 393

Answer:

  10%

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r)^t

Filling in the given values, we have ...

  1331 = 1000(1 +r)^3

  1.331^(1/3) = 1 +r = 1.1 . . . . . divide by 1000, take the cube root

  r = 0.1 = 10% . . . . . . . subtract 1

The effective rate is 10% per year.

It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?

Answers

Answer:

22

Step-by-step explanation:

5.50/0.25 = 22

Answer:

22

Step-by-step explanation:

5.50 cups of sugar divided by the .25 cups needed for each batch gives you 22 :)


PLEASE HELP!
Use the bar graph to find the relative frequency of the event.
The relative frequency of spinning an even number is _

Answers

First add up all of the spins (50 total) and then add all the even numbers (24 even spins) so this means we have 24/50=12/25= 48% chance of getting an even number
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