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 5.0 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 6 engines and the mean pressure was 5.4 pounds/square inch with a standard deviation of 0.7. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Answers

Answer 1

Answer:

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

Step-by-step explanation:

Given that;

mean x" = 5.4

standard deviation σ = 0.7  

n = 6

Null hypothesis H₀ : μ = 5.0  

Alternative hypothesis H₁ : μ > 5.0    

∝ = 0.025    

now,

t = ( 5.4 - 5.0) / ( 0.7/√6) = 0.4 / 0.2857 = 1.4

degree of freedom df = n-1 = 6 - 1 = 5

T critical = 2.571

Therefore; t < T critical,

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.


Related Questions

What is the slope of line b

Answers

Can’t see the picture
the m is the slope of the line.

At Happy Harry’s Laundromat, the dryer costs $1.50 for 10 minutes. At Jolly Judy’s Laundromat the dryer costs $2.25 for 15 minutes. Which laundromat offer the better deal?will giv brainly if correct


Happy Harry’s Laundromat

Jolly Judy’s Laundromat

They charge the same amount.
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllppppppppppppppp

Answers

Answer: They charge the same amount.

Step-by-step explanation:

Question
The average of 4 numbers is 9. If one of the numbers is 7, what is the sum of the other 3 numbers?
O2
O 12
O 29
O 36

Answers

Answer:

Let say the four number x, y, a and b

(X+y+a+b) ÷4=9 equation 1(we divide by 4 is because It says average)

So let say x=7 and so let insert this equation

(7+y+a+b)÷4=9

7+y+a+b=9×4

7+y+a+b=36(then shift 7)

Y+a+b=36-7

Y+a+b=29

So the sum of 3 number is 29

The sum of the other numbers is 29

Since the average of 4 numbers is 9. Then the total value of the numbers will be:

= 4 × 9

= 36

Since one of the numbers is given as 7, then the value of the remaining numbers will be:

= 36 - 7

= 29

In conclusion, the sum of the remaining numbers is 29. Therefore, the correct option is C.

Read related link on:

https://brainly.com/question/10930932

Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.

Answers

You can choose any value for x and find the corresponding y value. So let’s assume x=1.

y=6x-18
y=6(1)-18
y=6-18
y=-12

So a correct ordered pair would be (1,-12).

Exercise 1.10.4: Mathematical statements into logical statements with nested quantifiers. info About Translate each of the following English statements into logical expressions. The domain is the set of all real numbers. (a) There are two numbers whose ratio is less than 1. (b) The reciprocal of every positive number is also positive. (c) There are two numbers whose sum is equal to their product. (d) The ratio of every two positive numbers is also positive. (e) The reciprocal of every positive number less than one is greater than one. (f) There is no smallest number. (g) Every number other than 0 has a multiplicative inverse. (h) Every number other than 0 has a unique multiplicative inverse.

Answers

Answer:

З x,y : ( x/y < 1, y/x < 1 )

Step-by-step explanation:

This is a bit somehow, I really do hope it doesn't confuse you. Here's your solution.

The domain in this question is one with a set of all real numbers. These real numbers needs the logical expressions of the English statements to be expressed with respect to real number. And so we're having

A) З x,y : ( x/y < 1, y/x < 1 )

B) ∀ Y : ( Y > 0 = 1/Y > 0 )

C) з x,y : ( x+y = xy )

D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))

E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )

F) n ( ( з x ∀ y ( x <y ) )

G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))

H) ∀x ( (x≠0) = ( з! y (xy = 1))

Round each fraction to help you estimate the solution for the following equation: 8/10+9/10​

Answers

The answers for the equation 8/10+9/10= 2

which number is equivalent to 47/9

Answers

Answer:

94/18

Step-by-step explanation:

I can quite figure out how to go about this problem l, we are writing equations by defining a variable, writing an equation, then solving ​

Answers

Answer:

14 ft

Step-by-step explanation:

Let x represent the number of segments of the divided wood beam

Let y represent the total length of the wood beam.

Given that each segment measures 3.5, the equation to express this scenario is given as

y = 3.5x

Thus, to find the length of the wood beam, substitute x = 4 into the equation.

We would have:

y = 3.5(4)

y = 14

Length of the wood beam = 14 ft

4. What is the volume of a rectangular prism that has the following
dimensions?
Length - 5 inches
Width - 7.5 inches
Height - 12 inches

Answers

Answer:

450cm3 or 450 cube cm.

Step-by-step explanation:

Formula = Length x Width x Height

So,

5 x 7.5 x 12 = 450cm3

2. The population of a school is 800 students and is increasing at a rate of 2% per year. Write an
exponential growth function

Answers

Answer:

400

Step-by-step explanation:

Every day a kindergarten class chooses randomly one of the 50 state flags to hang on the wall, without regard to previous choices. We are interested in the flags that are chosen on Monday, Tuesday and Wednesday of next week. 30 Experiments with random outcomes (a) Describe a sample space ± and a probability measure P to model this experiment. (b) What is the probability that the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday? (c) What is the probability that Wisconsin’s flag will be hung at least two of the three days?

Answers

Answer:

a)   [tex]S=50[/tex]

    [tex]P(X)=0.02[/tex]

b)  [tex]P(W,M,C)=8*10^-^6[/tex]

c)  [tex]P(W_2_3)=1.18*10^-^3[/tex]

Step-by-step explanation:

From the question we are told that

Sample space S=50

Sample size n=30

a)Generally the sample space S is

[tex]S=50[/tex]

The probability measure is given as

[tex]P(X)=\frac{1}{50}[/tex]

[tex]P(X)=0.02[/tex]

b)

Generally the probability that  the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday is mathematically given as

Probability of each one being hanged is

[tex]P(X)=\frac{1}{50}[/tex]

Therefore

[tex]P(W,M,C)=\frac{1}{50} *\frac{1}{50}* \frac{1}{50}[/tex]

[tex]P(W,M,C)=\frac{1}{125000}[/tex]

[tex]P(W,M,C)=8*10^-^6[/tex]

c)Generally the probability that Wisconsin’s flag will be hung at least two of the three days is mathematically given as

Probability of two days hung +Probability of three days hung

Therefore

[tex]P(W_2_3)=^3C_2 (1/50) * (1/50) * (49/50) +^3C_3 (1/50) * (1/50) *(1/50)[/tex]

[tex]P(W_2_3)=148 / 125000[/tex]

[tex]P(W_2_3)=1.18*10^-^3[/tex]

1. Use the figure below to answer the questions.

(a) Solve for x.

Answers

Answer:205

Step-by-step explanation:This is an hexogon so you would do

720-118-112-131-154

You received a special shopper
discount card for your birthday for
10% off any purchase. You decide to
buy a pair of sneakers costing $65
and use your discount card. If sales
tax of 8% is applied after the
discount, what was your final price
for the sneakers?

Answers

I think the answer is $57.99 however I calculated with SA rands and converted the answer to $

Whats 900 x 30 it would be extremly helpful for my upcoming test

Answers

Answer:

27000

Step-by-step explanation:

Answer:

its 27,000

Step-by-step explanation:

hope it helps ;)

9
Use the expression 43 + 8 – to find an example of
y
each kind of expression.
Kind of expression Example
Quotient
y
9
Sum
у
Variable
43 + 8

Answers

Answer:

quotient: 9y

sum: 4³+8

variable is y

A rectangular prism is 12 cm long 6 cm wide and 5 cm high what is the volume of the rectangular

Answers

9514 1404 393

Answer:

  360 cm³

Step-by-step explanation:

The volume is the product of the given dimensions:

  V = LWH

  V = (12 cm)(6 cm)(5 cm) = 360 cm³

Find out how much paint is in each jar

Answers

1 gallon



right answer

Returning to a possible class quiz, Sue believes there will be a quiz and offers 3:2 odds, Torik does not and offers 3:1 odds. The odds Torik is offering are enticing, and you have $200 where you can afford to lose up to $20. Now, one possibility is to bet $20 only with Torik; if there is not a quiz, he wins and keeps your $20. If there is quiz, you win and he owes you $60. But, by hedging, you can bet more without incurring any greater risk. Explain what to do and how much you can earn if there is a quiz.

Answers

Answer and explanation:

The hedging strategy is one where an individual is able to hold two opposing positions such that he is able to protect either position from profit or loss as each move in opposite directions. For example in this situation, if Sue wants to hedge her bets here, she would need to place a bet that there will be a quiz and also place a bet that there will be no quiz. In this way she uses up to $40, $20 for no quiz and $20 for a quiz. If for instance it goes in Torik's favour and there is no quiz, Sue loses $20 but also gets that $20 back. If it goes in Sue's favour, then she makes $60

In a ceiling function, which is the graph of g(x)= [x+3]?

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Adding 3 to x shifts the function's graph 3 units to the left. That makes the graph look like the one attached.

Katia has 7 chairs she wants to paint. If it takes 2/3 can of spray
paint to paint a chair, how many cans of spray paint does Katia
need?

Answers

Answer:

4 2/3

Step-by-step explanation: You would do 7 × 2/3, but you cannot do that so you have to make the 7, 7/1 and than it is 7/1 × 2/37/1 × 2/3 =First step: Multiply the top: 7 × 2 = 14Second step: Multiply bottom: 1 × 3 = 3Answer: 14/3 and than you simplify to 4 2/3

3(9+c+b) if c=13 and b=4

Answers

Answer:

78

Step-by-step explanation:

Hope this helped. Pls mark brainliest

Answer:

78

Step-by-step explanation:

3(9+13+4)

9+13+4 = 26

3(26) = 78

10. A triangle has sides with lengths 3,5, 7. Is this an acute, obtuse, or right
triangle?

Answers

Answer:

OBTUSE

Step-by-step explanation:

You would first have to figure this put via Pythagorean theroem. Basically do this (attachment)***C IS THE LARGEST NUMBER*** and know that c^2 < a^2 + b^2 (less than) = ACUTE, c^2 > a^2 + b^2 (greater than) = OBTUSE, and c^2 = a^2 + b^2 is RIGHT. If it is Right with all different numbers, it is SCALENE.

An open-top box with a square base is to be constructed from 120 square centimeters of material. What dimensions will produce a box with the largest possible volume

Answers

Answer:

Maximum length and breadth of the box is 6.32 cm and the height of the box is 3.16 cm

Step-by-step explanation:

Surface area of box

[tex]4xy+x^2=120\\\Rightarrow y=\dfrac{120-x^2}{4x}[/tex]

Volume of box is

[tex]V=x^2y\\\Rightarrow V=x^2\times \dfrac{120-x^2}{4x}\\\Rightarrow V=\dfrac{120x-x^3}{4}\\\Rightarrow V=30x-\dfrac{1}{4}x^3[/tex]

Differentiating with respect to [tex]x[/tex]

[tex]\dfrac{dV}{dx}=30-\dfrac{3}{4}x^2[/tex]

Equating with zero

[tex]30-\dfrac{3}{4}x^2=0\\\Rightarrow x^2=\dfrac{30\times 4}{3}\\\Rightarrow x^2=40\\\Rightarrow x=6.32[/tex]

Double derivative of the volume

[tex]\dfrac{d^2V}{dx^2}=-\dfrac{6x}{4}=-\dfrac{6\times 6.32}{4}=-9.48<0[/tex]

So, the volume is maximum at [tex]x=6.32[/tex]

[tex]y=\dfrac{120-x^2}{4x}=\dfrac{120-40}{4\times \sqrt{40}}\\\Rightarrow y=3.16[/tex]

So, the maximum length and breadth of the box is 6.32 cm and the height of the box is 3.16 cm.

What is AD/AB in simplest form?
A. 10/3
B. 1/3
C.17/5
D. 3

Answers

answer: D. 3
step by step explanation:

write an explicit formula for the a_(n), the nth term of the sequence 27,21,15​

Answers

Answer:

33-6n

Step-by-step explanation:

4x10 26 [87.96 x 10 6]​

Answers

Answer:

remember that you start in the [ ] and work your way out

Step-by-step explanation:

if a banana costs 45 cents and your grandma is looking at the sky what color is your grandpa

Answers

Answer:

35

Step-by-step explanation:

ask beetle juice

Answer: If you have four pencils and I have 7 apples, how many pancakes will fit on the roof?

Step-by-step explanation: Purple. because aliens don't wear hats.

Jonnell has finished 20% of an art project that taken him a total of 3 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?

Answers

it would take Jonnell 15 hours

For which value of x is the relation not a function? \ (0,1),(x,0),(3,5)\ 2,6\ }

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

In our case, we need to determine the value of x so that we can have repeated or duplicated inputs or x-values because duplicated inputs mean the relation would not be a relation.

Given

{(0, 1), (x, 0), (3, 5), (2, 6)}

Now, if we put x = 3, the relation would become:

{(0, 1), (3, 0), (3, 5), (2, 6)}

Here, x = 3 is repeated twice, and we can not have duplicated inputs as there should be only 1 output for each input.

Therefore,

For the value of x = 3, the relation would not be a function.

Note: The same can be said about the values of x = 0, or x = 2 because then the the dupilcated values be x = 0 or x = 2 respectively.

4x² - 5x + 3y + 6

The coefficient in the first term is __?

The constant is __?

There are __? terms in this expression.

The variable in the third term is __?

Answers

Answer:

The coefficient in the first term is 4

The constant is 6

There are 4 terms in this expression

The variable in the third term is y

Step-by-step explanation:

The constant is 6 because it is the only term without a variable, therefore the one term that will stay the same/remain constant.

The first term is 4x^2, the second term is -5x, the third term is 3y, and the fourth term is 6.

The variable in the first term is x^2, therefore the coefficient of x^2 is 4.

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