1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sindrei [870]
3 years ago
5

more thanAn engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 120

engines and the mean pressure was 5 lbs/square inch. Assume the variance is known to be 1. If the valve was designed to produce a mean pressure of 5.1 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve performs below the specifications? State the null and alternative hypotheses for the above scenario. Answer
Mathematics
1 answer:
Monica [59]3 years ago
3 0

Answer:

We accept the null hypothesis

Step-by-step explanation:

Given

The valve was tested on 120 engines

Mean pressure = 5 lbs/square inch.

Variance = 1

Standard Deviation, σ = √1 = 1

The valve was designed to produce a mean pressure of 5.1 lbs/square inch

So, μ = 5.1

Null hypothesis: H₀ : μ = 5.1

Alternative Hypothesis: H₁ : μ≠ 5.1

Since n > 30 and population standard deviation is given

So, We will use z test

Formula : z = (x - μ)/( σ /√n) ---_-_--- Substitute the values

z = \frac{5 - 5.1}{1/\sqrt{120} }

z = −1.1

The p - value of -1.1 (refer to z table) is 0.13576

Since it is a two tailed test So, p = 2(1-  0.13576) = 1.7285

α = 0.02

p value > α

So, we accept the null hypothesis

Hence There is no sufficient evidence at the 0.02 level that the valve does not performs below to the specifications

You might be interested in
Two angles are supplementary if the sum of their measures is 180 degrees. find two supplementary angles such that the smaller is
kaheart [24]
If the larger angle is x and the smaller angle is y, y=(1/2)x+30 since it's 30 more than 1/2 of it. In addition, x+y=180 since they are supplementary. Plugging y=(1/2)x+30 into that, we get x+x/2+30=180=1.5x+30. Subtracting 30 from both sides, we get 1.5x=150. Next, we can divide both sides by 1.5 to get x=100 and y=(1/2)*100+30=50+30=80
8 0
3 years ago
Rectangle PQRS is shown with its diagonals, PR and QS. 
gizmo_the_mogwai [7]
The answer is C. Isosceles Triangle .... 2 of the sides are equal
6 0
3 years ago
Read 2 more answers
Which is a right triangle formed using a diagonal through the interior of the cube? A cube. The top face has points G, B, C, F a
Black_prince [1.1K]

Answer: The correct option is triangle GDC

Step-by-step explanation: Please refer to the picture attached for further details.

The dimensions give for the cube are such that the top surface has vertices GBCF while the bottom surface has vertices HADE.

A right angle can be formed in quite a number of ways since the cube has right angles on all six surfaces. However the question states that the diagonal that forms the right angle runs "through the interior."

Therefore option 1 is not correct since the diagonal formed in triangle BDH passes through two surfaces. Triangle DCB is also formed with its diagonal passing only along one of the surfaces. Triangle GHE is also formed with its diagonal running through one of the surfaces.

However, triangle GDC is formed with its diagonal passing through the interior as shown by the "zigzag" line from point G to point D. And then you have another line running from vertex D to vertex C.

6 0
3 years ago
Read 2 more answers
In circle E with m DGF = 27, find the mZDEF.
boyakko [2]

Hope this help!!!

Have a nice day!!!

4 0
3 years ago
How do I write 9540000 in expanded form using exponents to show powers of 10
Ulleksa [173]
9.54*10^7 is the correct answer
3 0
3 years ago
Other questions:
  • Greatest to least: 2/5 2/3 6/10
    10·2 answers
  • the sales tax rate in a city is 9% find the sales tax charged on a puchase of 600$ then find find the total cost
    10·1 answer
  • I need this answered it’s a math writing assignment
    6·1 answer
  • Helppppppppppppppppppppppppp
    7·1 answer
  • The measures of two supplementary angles are (3x + 9)° and (2x + 2)°. What is the measure of the smaller angle? A. 16.6° B. 69.6
    12·1 answer
  • Nal parts. The Which statements about the clock are accurate? Check
    11·2 answers
  • In a complete sentence, describe the positions of these numbers on the number line in relation to each other. Then, write an ine
    8·1 answer
  • PLEASE HELP ME PLZZ I WILL MARK BRAINLEIST PLZ
    12·2 answers
  • A bag of marbles contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles. How many total possible outcomes
    5·1 answer
  • Are the triangles congruent?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!