An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.6 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 5.7 pounds/square inch. Assume the variance is known to be 0.25. A level of significance of 0.01 will be used. Make a decision to reject or fail to reject the null hypothesis.

Answers

Answer 1

Answer:

The decision rule is  

Reject the null hypothesis  

Step-by-step explanation:

From the question we are told that

    The population mean is [tex]\mu = 5.6 \ pounds/inch^2[/tex]

     The  sample size is  n =  160

      The sample mean is  [tex]\= x = 5.7 \ pounds/ inch^2[/tex]

     The variance is [tex]\sigma ^2 = 0.25[/tex]

       The level of significance is  [tex]\alpha = 0.01[/tex]

The null hypothesis is  [tex]H_o : \mu = 5.6[/tex]

The alternative hypothesis is [tex]H_a : \mu > 5.6[/tex]

Generally the standard deviation is mathematically represented as

           [tex]\sigma = \sqrt{\sigma ^2 }[/tex]

=>         [tex]\sigma = \sqrt{0.25 }[/tex]  

=>         [tex]\sigma = 0.5[/tex]  

Generally the test statistics is mathematically represented as

        [tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]

=>     [tex]z = \frac{5.7 - 5.6 }{ \frac{0.5 }{\sqrt{ 160 } } }[/tex]  

=>     [tex]z = 2.53[/tex]

From the z table  the area under the normal curve to the left corresponding to  2.53   is

        [tex]p-value = P(Z > 2.53 ) =0.0057[/tex]

From the value obtained we see that the [tex]p-value < \alpha[/tex] hence

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the believe  that the valve performs above the specifications is true

 


Related Questions

"simplify 3/5+(-1/4) ÷ 7/10" How can you answer this question. and what's the answer, can you help me out please ​

Answers

Answer:

s

Step-by-step explanation:

Answer:

17/70

Step-by-step explanation:

First use PEMDAS which is the order to solve questions like these.

Parenthesis

Exponents

Multiplication

Division

Addition

and Subtraction

There is one parenthesis which has a (-1/4) so let's start with that, we know that when there is a negative and a positive sign the negative out rules the positive

3/5-1/4 divided by 7/10      (Sorry I don't have the division sign on my device)

There are no exponents or multiplication but there is division

-1/4 divided by 7/10 is -5/14

3/5-5/14 is 17/70

Thus, our answer is 17/70

help need done quick pls.

Answers

The answer is 44 because there is a right angle and right angels are 90 degrees so if you add 90 and 46 you get 136 and a triangle is 180 so 180-136=44

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I agree with the person above, I also believe it is B, have a nice day, Merry Christmas

Fernando loves to make music playlists. He likes to keep the same ratio of country songs to rock songs. On his summer playlist, he has 100 country songs and 24 rock songs. On his road trip playlist, Fernando has 25 country songs.
How many rock songs are on Fernando's road trip playlist?

Answers

Answer:

There are 6 rock songs on Fernando's road trip playlist.

Step-by-step explanation:

Given that he keeps the ratio same

This means that the ratios for both summer playlist and trip playlist will be the same

Let

c1 be the country songs in summer playlist

r1 be the rock songs in trip playlist

Similarly,

c2,r2 will be the country and rock songs in trip playlist

Both will be equal so

[tex]\frac{c_1}{r_1} = \frac{c_2}{r_2}[/tex]

Putting the values

[tex]\frac{100}{24} = \frac{25}{r_2}\\100r_2 = 25*24\\100r_2 = 600r_2 = \frac{600}{100}\\r_2 = 6[/tex]

Hence,

There are 6 rock songs on Fernando's road trip playlist.

Answer:

6 songs

Step-by-step explanation:  

       

Whats h to the power of itself

Answers

Answer:

h squared (h^2)

Step-by-step explanation:

h to the power of its self is just h squared

If I’m being completely honest with you dear I truly don’t know the answer to this question but I can see h at someone else is answering so the best of luck to you

Help

w(a)=a-1; find w(0)

Answers

Answer:

Step-by-step explanation:

w(0) = 0-1

w(0) = 0-1

w(0) = -1

Since w(0), this basically means that a = 0.

So, plug 0 into anywhere a is.

The value of the function w(a) = a - 1 at a = 0 will be negative 1.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

w(a) = a - 1

The value of the function at a = 0 will be

w(0) = 0 - 1

w(0) = - 1

The value of the function w(a) = a - 1 at a = 0 will be negative 1.

More about the value of expression link is given below.

https://brainly.com/question/23671908

#SPJ2

Can someone help me please

Answers

Answer:

31.42 m

Step-by-step explanation:

circumference = (pi)d

circumference = 3.14159 * 10 m

circumference = 31.4159 m

Answer: 31.42 m

Answer: circumference =31.42m

Step-by-step explanation:

4(x - 1) + 5x = 6x - 16
Please help me solve the equation

Answers

Answer:

x=−4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(x−1)+5x=6x−16

(4)(x)+(4)(−1)+5x=6x+−16(Distribute)

4x+−4+5x=6x+−16

(4x+5x)+(−4)=6x−16(Combine Like Terms)

9x+−4=6x−16

9x−4=6x−16

Step 2: Subtract 6x from both sides.

9x−4−6x=6x−16−6x

3x−4=−16

Step 3: Add 4 to both sides.

3x−4+4=−16+4

3x=−12

Step 4: Divide both sides by 3.

3x/3=-12/3

x=-4

Answer:

4x-4+5x=6x-16, 9x-4=6x-16, 3x=-12, x=-4

Step-by-step explanation:

need help with this solve or r

Answers

Answer:

 C

------ = r

2pi

Step-by-step explanation:

Divide both sides by 2pi.  We get:

 C

------ = r

2pi

Help help help help help help pls

Answers

Answer:

a.) 36

b.) 18

c.) 27

Step-by-step explanation:

can u pls help me with this question

and the equations to choose from are
y=k+x

y=k

y=kx​

Answers

Answer:

y=kx

Step-by-step explanation:

That's the formula for direct variation relationships!

The other two answers are nonsense and don't mean anything.

PLEASE HELP!! I will mark brainliest

Answers

Answer:

the top one and bottom one

Step-by-step explanation:

Answer:

first and sixth

Step-by-step explanation:

they match

I need help, if is right I mark you as brainliest.


A. He made a division error.
B. He combined the variable terms incorrectly.
C. He combined the constants incorrectly.
D. He distributed -5 incorrectly.

Answers

Answer:

D. He distributed -5 incorrectly.

Step-by-step explanation:

Last option is the correct answer.

Answer:

Parker: D. He distributed -5 incorrectly.

Step-by-step explanation:

Seventh grade
M.1 Add, subtract, multiply, and divide money amounts: word problems HGN
You have prizes to reveal
A high-tech company came out with two new MP3 players this week. It costs $465 for the
model with more memory or $107 for the one with less memory. What is the price
difference?
Submit

Answers

Answer:

C. NUMBER OF DOWNLOADED SONGS

Step-by-step explanation:

Among the following, the independent quantity in the function:

amount of remaining MP3 player memory as a function of downloaded songs is

The remaining memory will depend on the number of songs downloaded. So, the number of downloaded songs is considered as the independent variable while the remaining memory is the dependent variable.

Answer:

Easy, 358

Step-by-step explanation:

because 2 new mp3 players are $465 and have new storage.

While 1 new mp3 player is $107 but it has less storage.

So we subtract because it's asking us the difference between the price of the $465 and the $107.

465

- 107

--------

358

Is 9.78778777... a rational or irrational number?

Answers

Answer:

rational

Step-by-step explanation:

At a bake sale, as student spent $11.00 buying 3 brownies and 5 cookies. His friend spent $3.95 buying 1 brownie and 2 cookies. What is the price of a brownie?

Answers

Answer:

$[tex]$2.25[/tex]

Step-by-step explanation:

Let [tex]b =[/tex] the cost of one brownie, [tex]c =[/tex] cost of one cookie

[tex]3b + 5c = 11[/tex]

[tex]b+2c = 3.95[/tex]

Times [tex]3[/tex] on both sides on the second equation above to get the following:

[tex]3b + 6c = 11.85[/tex]

[tex]3b+6c - (3b+5c) = 11.85-11[/tex]

[tex]3b+6c-3b-5c = 0.85[/tex]

[tex]c = 0.85[/tex]

To find the value of [tex]b[/tex], use substitution:

[tex]b+2c = 3.95[/tex]

[tex]b = 3.95-2c[/tex]

[tex]= 3.95 - 2\times0.85[/tex]

[tex]= 2.25[/tex]

[tex]\therefore[/tex] the cost of a brownie is $[tex]$2.25[/tex]

Hope this helps :)

Find - square root 36
A.+6
B.-6
C.6
D.18
Help the I

Answers

Answer:

A.

Step-by-step explanation:

need help with this one ​

Answers

Answer:

triangle 2.854e55

Step-by-step explanation:

Help please I don’t get it

Answers

Answer:

[tex]12+\frac{1}{4}\cdot12[/tex] [tex],[/tex] [tex]12\left(1+\frac{1}{4}\right)[/tex]  [tex]and[/tex]  [tex]12\cdot\frac{5}{4}[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]\frac{1}{4}[/tex] [tex]of[/tex] [tex]12[/tex] [tex]is[/tex] [tex]3[/tex]

[tex]12+3[/tex] = [tex]15[/tex]

[tex]--------------------------------------------[/tex]

[tex]12+\frac{1}{4}[/tex] = [tex]12.25[/tex] ✘

[tex]12\cdot\frac{1}{4}[/tex] = [tex]3[/tex] ✘

[tex]12+\frac{1}{4}\cdot12[/tex] = [tex]15[/tex] ✔

[tex]12\left(1+\frac{1}{4}\right)[/tex] = [tex]15[/tex] ✔

[tex]12\cdot\frac{3}{4}[/tex] = [tex]9[/tex] ✘

[tex]12\cdot\frac{5}{4}[/tex] = [tex]15[/tex] ✔

[tex]--------------------------------------------[/tex]

Sorry that it took long, really wanted to work hard on this one.

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Solve the equation.
W+3/3 = - 4

Answers

Answer:

W=−5

r=3

hope this helps!!

In the diagram below, what is the ratio of unshaded parts to shaded parts?

4 shaded triangles and 12 unshaded triangles.
4 unshaded to 9 shaded
9 unshaded to 4 shaded
3 unshaded to 1 shaded
1 unshaded to 3 shaded

Answers

Answer:

The answer is D.

Step-by-step explanation:

I hope this helps :D

Perform the following operation
and express the answer in
scientific notation.
4.0x105 x 3.0x103
[ ? ]x10!?)

Answers

Answer:

Step-by-step explanation:

first step, multiply 4 and 3

4x3=12  ,  we write is 1.2x10

10^5 x10^3=10^8

4 x10^5 x 3 x 10^3= 1.2x10^9

The required answer is 1.20 x 10⁹ in scientific notation.

What is scientific notation?

Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.

Here,
To multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. Applying this rule, we get:

= (4.0 x 10⁵) x (3.0 x 10³)
= (4.0 x 3.0) x (10³ x 10⁵)

= 12.0 x 10⁵⁺³
= 12.0 x 10⁸

However, the answer is not yet in proper scientific notation form because the coefficient 12.0 is not between 1 and 10. To express the answer in scientific notation, we need to adjust the coefficient and exponent so that the coefficient is between 1 and 10. We can do this by dividing the coefficient by 10 and increasing the exponent by 1. Doing this, we get:

12.0 x 10⁸ = 1.20 x 10⁹

Therefore, the answer is 1.20 x 10⁹ in scientific notation.

Learn more about scientific notation here: https://brainly.com/question/13091583
#SPJ7

Tommy is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He notices that 1 over 4 bucket of nuts fills 2 over 3 of the barrel.

Part A: Write and solve an equation to find the amount of nuts that will fill the entire barrel. Show your work. (8 points)

Part B: Explain your answer in words. (2 points)

Answers

Answer:

3/8 bucket

Step-by-step explanation:

Given that 1/4 bucket of nuts fills 2/3 of the barrel

PART A

To find the amount of nuts that fills entire basket we can put this as:

1/4 bucket → 2/3 barrelx bucket → 1 barrel

Use cross-multiplication to find the value of x:

x×2/3 = 1×1/4x = 1/4 ÷ 2/3x = 1/4×3/2x = 3/8 bucket

PART B

Using the bucket to barrel ratio to solve the problem. Having the number of required buckets as x and considering full barrel as 1 helps to find the value of x.

Vocabulary Is every relation also a function? Use the drop-down menus to show and explain your answer.



Choose...
; A
Choose...
is a special type of
Choose...
where each input maps to exactly one output. In a
Choose...
, an input can have one or more outputs.

Answers

Answer:

19

Step-by-step explanation:

9+10 is not 21 it is 19.

If 2 tens make a 20 and 1 number is gone, 20-1=19

can u pls help me with this question ​

Answers

Answer:

i believe the answer is b

Step-by-step explanation:

unit means one

what is the value of d+3

Answers

Answer:

you need to explain

Step-by-step explanation:

-45 + s = -105, s = ?

Answers

Answer:

s = - 60

Step-by-step explanation:

-45 + s = -105

s = -105 + 45

s = - 60

HELP ME PLEASE I GIVE BRAINLY

Shern goes to the BX with $21. She buys a gift for her mom that costs $9.25. She also needs to make sure that she has $3.50 left when she leaves the BX to buy lunch the next day. She sees that bags of Skittles are on sale for $0.40 each. How many bags can she buy to have as many bags as possible. Write and solve an inequality to represent the situation. Show your work.

Answers

Answer:

  20 bags

Step-by-step explanation:

gift + lunch + (skittles * count) ≤ $21

               9.25 + 3.50 + 0.40x ≤ 21

                          12.75 + 0.40x ≤ 21

                                       0.40x ≤ 8.25

                                               x ≤ 20.625

Answer:

20 bags of skittles

Step-by-step explanation:

I took the test

Use the elimination method to solve the following system. 6x – 7y = –8 –x – 4y = –9

(–6, –3)


(0, 4)


(–3, 8)


(1, 2)

Answers

The correct answer is (1,2)

Steps:
Multiply the second equation by 6 in order to eliminate the x variable.

6x-7y= -8
6(-x-4y= -9)

6x-7y= -8
-6x-24y=-54

Add the equations together and solve for y

-31y= -62
Y=2

Substitute y=2 in the original equation

-x-4(2)= -9
-x-8= -9
-x= -1
X=1

Answer: (1,2)



is 3x+y=12 linear or nonlinear

Answers

Answer: It is linear

Other Questions
HELPPPPPPPis this chemical or physical reaction Whats the answer to this radical functions equation ASAP the survey report suggest that 2 out of three boy likes to play baseball what is the decimal expansion of two thirds In a party Tom paid $540 including the cake and drink for his friend the cost of a person attending the party is $15 the cost of cake and drinks are $75 and $90 respectively find the number of friends that attended the party some of poe's stories are called whodunits the detectives in these stories A. write poetry B.use secret codes C. solve puzzles D.lie about crimes A result or product of a system is called the _____.processoutputinputgoal 1. Humans remaining a stable body temperature is an example ofA. homeostasis B. homeopathy Which are two factors that affect water quality?A. odor and acidityB. density and toxicityC. texture and color The properties of matter depend on the types of atoms a substance is made of.true of false? Describe the location of China relative to two regions. You and your little sister go to the park in cheetah started to go down the plastic slide. On her way down to euros out ouch! When you rush over to ask her what happened she replied the slide shocked me. Explain why this event took place using the distribution of charges. Sara went to breakfast with her family. What is the total cost is the sales tax is 6%? Which of the following are not true of exocytosis? A.it occurs at the cell membrane B.it does not require energy C.it needs a vesicle to move the matter D.it expells matter out of the cell what is an ecumenical council? Which of these is the verb in the sentence above? A puppy B barked C Sashas D neighbor Why did the Industrial Revolution in the United States get started in New England? In Ch.5, Johnny compares Dally to the gallant men in Gone With the Wind. Do you agree with Johnny's opinion? Why or why not? Why doesn't Aunt Polly believe Tom when he tells her that he has finished painting the fence?He has a habit of lying to her.She knows he didn't have enough paint.She has been watching him from the window.He doesn't know how to paint. I also really need help on this to What was the result of the Opium War?