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
Elina [12.6K]
3 years ago
8

An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 110 engines

and the mean pressure was 4.6 lbs/square inch. Assume the standard deviation is known to be 0.8. If the valve was designed to produce a mean pressure of 4.5 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve does not perform to the specifications?
Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer: NO.

Step-by-step explanation:

As per given , we have to test the hypothesis.

H_0:\mu=4.5\\\\ H_a:\mu\neq4.5

∵ H_a is two-tailed , so our test is a two-tailed test.

Also, the standard deviation is known to be 0.8 , so we use z-test.

Test statistic:z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

, where \overline{x} = Sample mean

\mu = population mean

\sigma = Population standard deviation

n= Sample size

Put  \overline{x}=4.6

\mu=4.5

\sigma=0.8

n=  110 , we get

z=\dfrac{4.6-4.5}{\dfrac{0.8}{\sqrt{110}}}\approx1.31

P-value for two tailed test = 2P(Z>|z|)

= 2P(Z>|1.31|) = 2(1-P(Z<1.31))   [∵ P(Z>z)=1-P(Z<z)]

=2(1- 0.9049)  [By z-table]

=0.1902

Decision : ∵ P-value (0.1902) > Significance level (0.02).

It means we do not reject the null hypothesis.

[When P-values < Significance level then we reject the null hypothesis.]

Conclusion : We do not have sufficient evidence at the 0.02 level that the valve does not perform to the specifications.

You might be interested in
Sam read 60 pages, which is 3/4 of the book. How many pages are there in the book?
Elenna [48]

Divide the pages read by the portion read:

60/ 3/4 = 60 x 4/3 = 240/3 = 80

The book has 80 pages.

3 0
3 years ago
Read 2 more answers
What is the sum of the of the infinite geometric series 0.7+0.07+0.007+...?
andrew11 [14]

Answer:

a

Step-by-step explanation:

hope it works out for you

please mark brainiest

7 0
2 years ago
The sum of 6 consecutive even numbers is 270.What is the second number in this sequence?
Finger [1]

Answer: 42

Step-by-step explanation:

Let the six consecutive even numbers be x , x+2 , x+4 ,x+6 ,x+8 ,x+10.

Then According to the question , we have

x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)=270\\\\\Rightarrow\ x+x+2+x+4+x+6+x+8+x+10=270\\\\\Rightarrow\6x+30=270\\\\\Rightarrow\ 6x=270-30\\\\\Rightarrow\ 6x=240\\\\\Rightarrow\ x=40

Now, the second number from the above six consecutive even numbers  is x+2.

Substitute the value of x in it, we get

The second number in this sequence = x+2=40+2=42

3 0
3 years ago
Read 2 more answers
Subtracting 5 from each score in a distribution with a mean equal to 40 and a standard deviation equal to 3 will result in a sta
LenaWriter [7]

Adding or subtracting a constant from each value of a distribution changes the mean, but not the standard deviation.


The standard deviation will equal 3.

6 0
2 years ago
What is the mode of the data set? 61, 92, 61, 89, 92, 61 Enter your answer in the box.
alisha [4.7K]
61 because it occurs the most
Hope that helped:)!!!!!!!
3 0
3 years ago
Other questions:
  • Andrea deposited 138 dollars into her bank account. Which expression represents Andrea’s bank account? *
    10·2 answers
  • Solve for x.<br> y=x/c+b<br> Enter your answer in the box
    7·2 answers
  • What must be added to ‐213 to get ‐312​
    10·2 answers
  • Jonathan heard a news report that eating a gluten-free diet makes a person more likely to have a positive outlook on life. This
    8·1 answer
  • A radio station gives free tickets to 10% of the people attending a concert. The radio station gives 640 people free tickets. Wh
    9·1 answer
  • If it is 10:30 am what was 8 hours and 45 minutes ago
    14·1 answer
  • 5) Twelve divided by a number.<br> 6) x +10<br> 7) 3x-5<br> 8) 6x + 2
    10·1 answer
  • In the expression 5a2 + 4x2 - 7a + 8y - 9<br><br> How many terms are there?
    9·1 answer
  • A package of 6 pairs of insulated gloves costs $35.94. What is the unit price of the pairs of gloves?
    11·2 answers
  • find the percent increase. round to the nearest percent from 85 books to 134 books. the percent increase is *blank*
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!