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 8.0 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 250 engines and the mean pressure was 8.1 pounds/square inch. Assume the variance is known to be 1.00. A level of significance of 0.01 will be used. Make a decision to reject or fail to reject the null hypothesis. Make a decision

Answers

Answer 1

Answer:

The calculated value z= 0.0063 does not  fall in the critical region  so we fail to reject the null hypothesis. And accept that the valve does not perform above the specifications.

Step-by-step explanation:

Given that

Population mean= μ = 8.0

Sample mean= x`= 8.1

Sample size= n= 250

Sample standard deviation= s= 1.00

Significance level= ∝ =0.01

The null hypothesis and alternate hypothesis are  

H0: μ < 8.0

Ha: μ ≥ 8.0  One tailed test

The claim is that the valve perform above the specifications

The critical value at 0.01 significance level for one tailed test is z > ±2.33

The test statistic z is used

z= x`- μ/ σ/√n

Z= 8.1-8.0/ 1/√250

z= 0.1/1/15.811

z= 0.0063

The calculated value z= 0.0063  does not fall in the critical region  so we fail to reject the null hypothesis.


Related Questions

HELP NOWWW!!
What is the quotient when 2 x 2 + 7 x – 15 is divided by 2 x – 3?

Answers

Answer:

yup 12

Step-by-step explanation:

An event planner is reserving rooms for a company wide event. Each conference room can hold 22 people and 100 people are scheduled to stay in the ballroom, together they must hold 914 people who are attending, How many conference rooms will they need?

Answers

Answer:

37

Step-by-step explanation:

914-100=814

814/22=37

1. In order to determine how many hours per week freshmen college students watch television, a random sample of 256 students was selected. It was determined that the students in the sample spent an average of 14 hours. The standard deviation is 3.2 hours per week for all freshman college students.a.Provide a 95% confidence interval estimate for the average number of hours that all college freshmen spend watching TV per week.

Answers

Answer:

about 44 hours a week

Step-by-step explanation:

What reason can be used to complete this proof?


m∠1=m∠3 because ∠1≅∠3.

m∠1+m∠2=m∠CXB and m∠2+m∠3=m∠AXD _________.

m∠1+m∠2=m∠AXD because you can substitute m∠1 for m∠3.

m∠CXB=m∠AXD by the transitive property of equality.

So, ∠AXD≅∠CXB.

Answers

Answer:

Option (2)

Step-by-step explanation:

Given:

∠1 ≅ ∠3

To Prove:

∠AXD ≅ ∠CXB

Solution:

Given question is incomplete; find the complete question in the attachment.

            Statements                                                              Reasons

1). m∠1 ≅ m∠3 because m∠1 ≅ m∠3          1). Given

2). m∠1 + m∠2 = m∠CXB and                    

    m∠2 + m∠3 = m∠AXD                            2). Angle addition postulate

3). m∠1 + m∠2 = m∠AXD                             3). Because you can substitute

                                                                          m∠1 for m∠3

4). m∠CXB = m∠AXD                                   4).Transitive property of equality

5). ∠AXD ≅ ∠CXB

Therefore, Option (2) will be the correct option.

Write an expression to represent the perimeter of a rectangle with the length of x -4 and width of 2x +8.

Answers

Answer:

2(x-4) + 2(2x+8) OR long way (x-4) + (x-4) + (2x+8) + (2x+8)

Step-by-step explanation:

2(x-4) represents the (x-4) + (x-4) in the longer version since for perimeter you add the sides. Same thing for the other side, 2(2x+8) represents (2x+8) + (2x+8).

Not sure if you need the expression solved but here:

[tex]2(x-4) + 2(2x+8)\\(2x-8) + (4x+16)\\=6x+8[/tex]

To get from first line to second, use distributive property. To get from second to third line, combine like terms.

The perimeter of a rectangle with the length of (x - 4) and width of

(2x +8) will be (6x + 8).

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The length of rectangle = x - 4

The width of rectangle = 2x + 8

Now,

Since, The length of rectangle = x - 4

The width of rectangle = 2x + 8

We know that;

The perimeter of rectangle = 2 (Length + Width)

⇒ The perimeter of rectangle = 2 (x - 4 + 2x + 8)

⇒ The perimeter of rectangle = 2 (3x + 4)

⇒ The perimeter of rectangle = (6x + 8)

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PLZ HELP BRAINLIEST

In an election, there are 3 candidates for governor, 4 candidates for senator, and 5 candidates for representative on the ballot.

There are___ways the candidates may be elected. If one of the losers of the governor race is selected to be lieutenant governor, there are___ways for the candidates to be elected.

FOR THE FISRT ONE OPTIONS ARE:12,72,60

FOR THE SECOND ONE OPTIONS ARE:
120,60,14

Answers

Answer:

60 and 120

Step-by-step explanation:

Soaring Eagles Corp. has total current assets
of $11,320,000, current liabilities of $5,204,000 and a quick ratio of 0.84.
What is its level of inventory?

Answers

Answer:

1000

Step-by-step explanation:

Please help i will give you brainliest! Picture attached

Answers

Answer:

5+(n-1)0.5

Step-by-step explanation:

Mrs. Hart went to get her nails done at the salon. The cost was $35.00. What is the total amount if tax is 6% and she wants to leave a 18% tip?
A. $24.00
B. $43.40
C. $8.40
D. $59.00

Answers

Answer:

B) $43.40

Step-by-step explanation:

For the tax, 6% of 35 = 2.1

So with tax = $35 + 2.1 = $37.1

18% tip

So, 18% of 35 = 6.3

So we are gonna add all the costs together = 37.1 + 6.3 = $43.40

Answer:

Answer:

B) $43.40

Step-by-step explanation:

For the tax, 6% of 35 = 2.1

So with tax = $35 + 2.1 = $37.1

18% tip

So, 18% of 35 = 6.3

So we are gonna add all the costs together = 37.1 + 6.3 = $43.40

Step-by-step explanation:

12 gallons in 4 minutes ; 21 gallons in 7 minutes

Answers

1. 3 Gallons per minute

2. 3 gallons per minute

The unit rate is 3 gallons.

Question
Express the inequality a -0.12 using interval notation.
Provide your answer below:
FEEDBACK
MORE INSTRUCTION
Content attribution

Answers

Answer:  [tex](-\infty ,-0.12][/tex]

Curved parenthesis for negative infinity. Square bracket for the -0.12

========================================================

Explanation:

The inequality [tex]x \le -0.12[/tex] is the same as [tex]-\infty < x \le -0.12[/tex]

This says that x is larger than negative infinity, but smaller than or equal to -0.12

Put another way: x is between negative infinity and -0.12, x could also equal -0.12

To write this in interval notation, we would say [tex](-\infty ,-0.12][/tex]

We always use a curved parenthesis for either infinity. The square bracket indicates "include this endpoint as part of the interval".

make R the subject of the equation
h= 2 ( R - 4 )

Answers

Answer:

h=2(R-4)

h=2R-8

h+8=2R

h+8/2=R

so...R=h+8/2

Answer:

h+8/2

Step-by-step explanation:

h=2R-8

h+8=2R

h+8/2=R

R=h+8/2

simplify (-8x2 + 10x + 4) - (-4x + 10)​

Answers

Answer:

-8x2 + 14x - 8

Step-by-step explanation:

...........................................................

(-8x2 + 10x + 4) - (-4x + 10)
(-12+ 10x) - (-4x + 10)
-22 + 14x

Given f(x)=14(5−x)2 what is the value of f(11)?

Answers

Answer:

I was unsure about the way your question was written so I solved for two equations: f(x)=14(5-x)*2 and f(x)=14(5-x)+2

Step-by-step explanation:

Given f(x) = 14(5−x)², the value of f(11) = 504

The given function is:

f(x) = 14(5 - x)²

To get the value of f(11), substitute x = 11 into the function f(x) = 14(5 - x)²

f(11) = 14(5 - 11)²

Simplify the expression

f(11) = 14(-6)²

f(11) = 14(36)

f(11) = 504

Therefore, given f(x) = 14(5−x)², the value of f(11) = 504

Learn more on function here: https://brainly.com/question/10439235

The graph below represents a library fine, in dollars, for a book returned late after a number of days overdue.

A graph titled Library Fines. The horizontal axis shows days overdue and the vertical axis shows the fine (dollars). The line shows an increase to $10 at 19 days overdue, then constant.

Christen returned an overdue book to the library. Her fine was the same as the amount on the following day. Out of the fines show below, which one would be closet to the number of days overdue?

10
14
18
21

Answers

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Billy drove his car 290 miles in 5 hours. Sheila drove her car 132 miles in 2 hours. If each driver is traveling at a constant speed (in miles per hour), who is driving at a faster speed?​

Answers

Answer:

Shelia is

Step-by-step explanation:

hope this helps plz mark brainlessly

18
8
X
12
What is the value of x?

Answers

Using Pythagorean theorem, the answer should be D

30 POINTS!!!!1 PLEASE HELP!!!!!
A cube is a three-dimensional geometric figure, hollow or solid, contained by six equal square sides. The maximum capacity of a cube is calculated with the formula, V = s3, where V = volume and s = side length.

For a cube shaped box with a maximum capacity of 4,096 cubic inches and a side length of 4x inches, x =
inches.

Answers

Answer:

From what I could tell, the answer is 16.

2. The equation y = 8x gives the points, y, earned by reading books.
Use this equation to find the number of books Stephanie read to earn 72 points. Show your work.
(Hint: Which variable can you substitute 72 for in y= 8x?)
Write your answer in the space below.

Answers

y = points

so substitute 72 for y

72 = 8x

divide by 8

9 = x

stephanie reads nine books to reach 72 points
She has to read 9 books.

She made her fortune by inventing and selling specialized hair products, including an innovative Edge Control product that sold for $0.45 each. Which algebraic expressions describe the total amount of money spent by consumers for any number of Edge Control products sold, e?

Answers

Answer:

no

Step-by-step explanation:

Type the correct answer in the box. Round off your answer to the nearest integer.
B
A and Care right angles. m p =___degrees.

Answers

Answer:

59°

Step-by-step explanation:

In triangle DAB, by Pythagoras theorem:

[tex] DB= \sqrt {6^2 +5^2} =\sqrt{36+25}=\sqrt{61}[/tex]

Next, in triangle DCB, by Pythagoras theorem:

[tex] DB= \sqrt {(\sqrt {61} )^2 - 4^2} =\sqrt{61-16}=\sqrt{45}[/tex]

Now, by sin rule.

[tex] \frac{ \sin \: p}{ \sqrt{45} } = \frac{ \sin 90 \degree}{ \sqrt{61} } \\ \\ \frac{ \sin \: p}{ 6.70820393} = \frac{ 1}{ 7.81024968 } \\ \\ \sin \: p = \frac{ 6.70820393}{7.81024968} \\ \\ \sin \: p = 0.858897501 \\ \\p = 59.19301883 \degree \\ \\ p \approx 59 \degree[/tex]

Good morning!


I am here with a few geometry questions today.


There is 2 steps to this.

Step 1: The city plans a new road that will be parallel to Brodie Lane. What is the slope of the new road?


Step 2: Let m∠6=[tex]x^{o}[/tex]. Which angles have a measure of 180-x?

Use the diagram below to help!

When you answer this question please be sure to explain your answer and show work.

Good luck! Have a great day!

Answers

Answer:

Step1. Slope is zeroStep2. Angles 5, 8, 9 and 12

Step-by-step explanation:

Step 1

Parallel lines have the same slope.

Gray Dr is parallel to Brodie Ln

They both are parallel to x-axis, therefore both have a zero slope.

Step 2

m∠6 = x°

Angles 5 and 8 are supplementary with angle 6, so they have a measure of (180 - x)°.

Also, since Gray Dr is parallel to Brodie Ln and Canon Rd is transversal, the angles 9 and 12 have the same measure. Because ∠6 and ∠10 are corresponding angles.

Donna deposits $275 into her savings account. She leaves the money in her account,
untouched, for 6 years. If the account earns 4.5% simple interest each year, how much simple
interest will she have earned by the end of the sixth year?

$7,425.00
$74.24
$206.25
$12.38

Answers

$7,425.00 this is because first you have you have to multiply 6 by 4.5%.Then that. answer (27) multiplied by 275.

The simple interest earned by Donna by the end of the sixth year is $74.24

What is simple interest?

Simple interest is the interest charge on borrowing that's calculated using an original principal amount only and an interest rate that never changes.  

Given that, Donna deposits $275 into her savings account for 6 years, the account earns 4.5% simple interest each year,

We need to find the interest earned by the end of the sixth year

Simple Interest = PRT / 100

Where,

P = Principal ($275)

R = rate (4.5%)

T = time (6 years)

SI = 275 × 6 × 4.5 / 100

= 7425 / 100

= 74.25

Hence, the simple interest earned by Donna by the end of the sixth year is $74.24

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The 2017 World Alma- nac and Book of Facts reported that the U.S. occupation projected to grow the most is personal care aide. By 2024 there will be a need for 160,328 personal care aides, a growth of about 26% over 2014 lev- els. How many personal care aides were there in 2014

Answers

Answer:

There were 118,637 personal care aides in 2014.

Step-by-step explanation:

By 2024, there will be a need for 160,328 personal care aides, a growth of about 26% over 2014 levels.

This means that the 2014 levels is 100% - 26% = 74% of the 2024 levels.

Number of personal care aides in 2014:

74% of 160,320. So

0.74*160320 = 118,637

There were 118,637 personal care aides in 2014.

10 points. Need answer fast!.
How many different arrangements can be made with the letters from the word MATH?
A. 24
B. 6
C. 256
D. 8

Answers

Answer:

b

Step-by-step explanation:

Please help!!

Find the value of x and the length of each side

Answers

Answer:

3

Step-by-step explanation:

Find the area of the shaded figure.

The area is
square units.

Please answer if you know it.

Answers

Answer:

its easy just count the squares that is touching the outline of the shape and boom

PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK DUE SOON!!!!!!!!!!!!!!!!!

Angel needs $110 for a concert ticket. She already has $16 and she can earn the rest working 10 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to find Angel's hourly earnings?


a. 110 = 16h + 10


b. 16 = 110 - h


c. 110 = 16 + 10h


d. 110 + 16 = 10h

Answers

Answer: C.

Step-by-step explanation:

B. Wouldnt work just by looking at it.

A. She already had 16 dollars, it wouldnt be with the "h"

D. she needs 110 dollars, she is not adding it to 16.

C works cause she needs 110, so she would have that with the "=" and the expression next to it. Answer is C

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Add a point at (0.-2) then go down 3 and put another point connect the dots thats it

Step-by-step explanation:

Answer:

So graphing this line is super easy. The slope is -3 and the y-intercept is -2. The like will be going down. Find (0,-2) on the graph and plot that. then go down three times and to the right once. If you connect the first dot to the second one it will show you a line going downwards.

Step-by-step explanation:

If you still need help let me know.

Which model best represents to 3(2x + 3)

Answers

Answer:

i believe C

Step-by-step explanation:

sorry if wrong

Answer:

The answer is A

Step-by-step explanation:

I used distributive property and got 6x+9 Letter A has 6xs and 9 1s. So A is the correct awnser

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