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
lbvjy [14]
3 years ago
13

An 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 5.4 lbs/square inch. Assume the standard deviation is known to be 0.8. If the valve was designed to produce a mean pressure of 5.6 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve does not perform to the specifications? State the null and alternative hypotheses for the above scenario.
Mathematics
1 answer:
il63 [147K]3 years ago
3 0

Answer:

We conclude that the valve does not perform to the specifications.

Step-by-step explanation:

We are given that the valve was tested on 120 engines and the mean pressure was 5.4 lbs/square inch. Assume the standard deviation is known to be 0.8.

If the valve was designed to produce a mean pressure of 5.6 lbs/square inch.

Let \mu = <u><em>mean water pressure of the valve.</em></u>

So, Null Hypothesis, H_0 : \mu = 5.6 lbs/square inch     {means that the valve perform to the specifications}

Alternate Hypothesis, H_A : \mu \neq 5.6 lbs/square inch     {means that the valve does not perform to the specifications}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                         T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean pressure = 5.4 lbs/square inch

            \sigma = population standard deviation = 0.8 5.4 lbs/square inch

            n = sample of engines = 120

So, <u><em>the test statistics</em></u>  =  \frac{5.4-5.6}{\frac{0.8}{\sqrt{120} } }

                                     =  -2.738

The value of z test statistics is -2.738.

<u>Now, at 0.02 significance level the z table gives critical values of -2.3263 and 2.3263 for two-tailed test.</u>

Since our test statistic doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that the valve does not perform to the specifications.

You might be interested in
Help with number 8 plz and tell me how you did it!
yulyashka [42]
Well, there are 0.25 quarts in a cup so if Krystal makes 18 cups of soup, she can serve 72 guests! because,
0.25 divided by 18 = 72! :)
7 0
3 years ago
Please help, need help asap!
cluponka [151]
The correct answer is letter C
5 0
3 years ago
Mrs. Roberts said that your test next week will be wrht 100 points adm will have 29 questions. Each problem is worth either 5 po
SOVA2 [1]
Uzjcndnznsnnsdnnxnxndjdhdhfj
4 0
3 years ago
If Charlie run 3 yd./s how many miles can Charlie run in an hour
Mademuasel [1]
So how many seconds are in an hour?
60 sec a minute, 60 minutes an hour.
60*60=3600 seconds in an hour.

he can run 3 yards in a second, so 3*3600=10800 yards in an hour.

convert yards to miles= 6.1363636miles
8 0
3 years ago
Evaluate f(0) for f(x) = x2 -7x-30
Nostrana [21]
Just plug in the 0 as it says in f(x) = f(0) into the equation.

f(x) = x² - 7x - 30

f(0) = 0² - 7(0) - 30

f(0) = 0 - 0 - 30

f(0) = -30

hope this helps, God bless!
8 0
3 years ago
Other questions:
  • In a normal distribution, which is greater, the mean or the median? Explain.
    12·1 answer
  • Students in Miss Mouseley’s fourth grade class are learning multiplication, and they demonstrate mastery by passing assessments.
    8·1 answer
  • The number sentence 4*6=6*4 is an example of what property
    5·2 answers
  • MATCHING GRAPHS! which ones which!! pls help ill award branliest
    14·2 answers
  • Estimate the side length of a square that has a 9cm long diagonal
    7·2 answers
  • Name all things on the list that are renewable or nonrenewable
    10·2 answers
  • Use the equation y = -5.3x + 6
    12·1 answer
  • The figure represents a design for a stained glass window. The window is divided by cords MN and ST. What is the value of x
    10·1 answer
  • Figure this out for me!! (60 pts)
    8·2 answers
  • A) Use the definition of Laplace transform to find L{f }. (Do the integrals.) For what values of s is L{f } defined?f(t) = (2t+1
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!