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
Akimi4 [234]
3 years ago
14

A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the fl

ow rate be more than 5 gallons per minute (gpm). In an initial study, eight runs were made. The average flow rate was 6.5gpm and the standard deviation was 1.9 gpm. If the mean flow rate is found to meet the specification, the pump will be put into service.
1. State the appropriate null and alternate hypotheses

2. Find the P-value

3. Should the pump be put into service? Explain.
Mathematics
1 answer:
cricket20 [7]3 years ago
4 0

Answer:

1) We need to conduct a hypothesis in order to check if the true mean is higher than 5 gpm, the system of hypothesis would be:  

Null hypothesis:\mu \leq 5  

Alternative hypothesis:\mu > 5  

2) df=n-1=8-1=7  

Since is a one sided test the p value would be:  

p_v =P(t_{(7)}>2.233)=0.0304  

3) For this case is we use a significance level of 1% or 99% of confidencewe see that p_v >\alpha and we don't have enough evidence to conclude that the specification is satified. But if we use a value of significance \alpha=0.05 or 95% of confidence we see that p_v and we have enough evidence to conclude that the specification is satisfied.

Step-by-step explanation:

Data given and notation  

\bar X=6.5 represent the sample mean

s=1.9 represent the sample standard deviation

n=8 sample size  

\mu_o =5 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

Part 1: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is higher than 5 gpm, the system of hypothesis would be:  

Null hypothesis:\mu \leq 5  

Alternative hypothesis:\mu > 5  

If we analyze the size for the sample is <30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{6.5-5}{\frac{1.9}{\sqrt{8}}}=2.233    

Part 2: P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=8-1=7  

Since is a one sided test the p value would be:  

p_v =P(t_{(7)}>2.233)=0.0304  

Part d: Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant higher compared to the height of men in 1960 at 1% of signficance.  

Part 3

For this case is we use a significance level of 1% or 99% of confidencewe see that p_v >\alpha and we don't have enough evidence to conclude that the specification is satified. But if we use a value of significance \alpha=0.05 or 95% of confidence we see that p_v and we have enough evidence to conclude that the specification is satisfied.

You might be interested in
(Can somebody find the sum of this) <br><br><br> (5+2i)+(8-3i)
7nadin3 [17]
Hey there!!

Okay so here are the steps....

(5 + 2i) + (8 - 3i)       <---- when we have exponents we should worry about the                                            "i" because it is equal to √-1 but here it isn't the case.
<u>

(13 - i)</u>
<u />   <----- This is the answer!



<u />I hope this helps! ^__^
7 0
3 years ago
57 POINTS!!!!!!! PLEASE HELP MEE. ALSO DUEE RIGHT NOW
sweet [91]

Answer:

1. 2

2. 5.2

3. (c * 2) - 3= a

4. ($85 + $35 * h)

Step-by-step explanation:

1. |4−2| (simplified)

= |2|

=2

2. 2a^2 = 5.2

(22)(1.3)

=(4)(1.3)

=5.2

(2.6 - (2*1.3))=

5.2 - (2.6 - 2.6) = 5.2

3. (c * 2) - 3= a

4. ($85 + $35 * h)

5 0
3 years ago
Using the numbers and symbols, solve 7x = 42
spin [16.1K]

Answer:

you currently have the value of x × 7, you need to divide it by 7 to find the value of x.

42 ÷ 7 = 6

Step-by-step explanation:

4 0
3 years ago
HELP PLEASE ASAP IM SO CONFUSED!!!!!!!!
liubo4ka [24]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept → (0, b)

We have the points (-4, -6) and (2, 6). Substitute:

m=\dfrac{6-(-6)}{2-(-4)}=\dfrac{12}{6}=2\\\\y=2x+b

Put the coordinates of the point (2, 6) to the equation of a line:

6=2(2)+b\\\\6=4+b\qquad|-4\\\\2=b\to b=2

<h3>Answer: y = 2x + 2</h3>
8 0
3 years ago
If you have 13$ and each apple costs 30$, how much more money do i need to get 2 apples
Aleks04 [339]
You will need 47$
(30-13) + 30 =47
7 0
3 years ago
Read 2 more answers
Other questions:
  • If 8.45% life of each mobile phone is used in a day by a typical user for which mobile phone is 2.1 hours of battery life used i
    6·1 answer
  • What are the solutions to the quadratic equation x2 – 16 = 0?
    12·2 answers
  • A group of friends are hiking on trail Y when they reach an intersection with trial X. Trail X is perpendicular to train Y. If t
    15·2 answers
  • A rectangle’s width is one-fourth of its length. Its area is 9 square units. The equation l(l) =1/4 9 can be used to find l, the
    9·1 answer
  • Correct answer will get brainliest!
    6·1 answer
  • Please someone help me
    11·2 answers
  • the basic wage for a technician for a 42hour week is $36.40 per hour. Calculate the technicians weekly wage​
    10·1 answer
  • BRAINLIEST <br> Please help only three questions
    8·2 answers
  • Simplify 12 to the power of 3 over 12 to the power of 7
    8·1 answer
  • What is the distance between (-5, 5) and (1, -2)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!