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
exis [7]
3 years ago
15

An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than

allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons.A data file containing these measurements is HW_PTA 243.csv.Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees. What does your analysis indicate?
A) The cooling system changes the temperature of the water by an amount different than 6 degrees.
B) The cooling system changes the temperature of the water by 6 degrees.

Mathematics
1 answer:
disa [49]3 years ago
7 0

Complete Question

The complete question is shown on the first , second and third uploaded image

Answer:

A

 The correct option is A

B

  The correct option is H

Step-by-step explanation:

The null hypothesis is  H_o  :  \mu_1 - \mu_2 =  6

The alternative  hypothesis is  H_a  :  \mu_1 - \mu_2 \ne  6      

The population mean difference is  \mu_d  =  6

Generally the sample size is  n =  15      

Generally the sample mean for input temperature is mathematically represented as

      \= x _1  = \frac{\sum x_i }{n}

=>    \= x _1  = \frac{57.6 + 68.9 + \cdots +60.4  }{15}  

=>    \= x _1  = 62.57  

Generally the sample mean for output temperature is mathematically represented as

      \= x _2  = \frac{\sum x_i }{n}

=>    \= x _2  = \frac{65.1+ 74.4 + \cdots +67.3 }{15}  

=>    \= x _2  = 55.97  

Generally the sample mean difference is mathematically represented as

   \= d = 62.57 - 55.97

=>d = 6.6

Generally the standard deviation is mathematically represented as

       s_d  =  \sqrt{\frac{ \sum [d_1 - \= d]^2}{n-1} }

=>    s_d  =  \sqrt{\frac{ [ [57.6 -65.1]- 6.6]^2 +[68.9 -74.4]- 6.6]^2+\cdots +   [60.4 -67.3]- 6.6]^2}{15-1} }

=>     s_d  = 1.732

Generally the test statistics is mathematically represented as

      t =  \frac{6.6  - 6 }{\frac{1.732}{\sqrt{15} } }

=>   t = 1.342

Generally the degree of freedom is mathematically represented as

    df  = n -  1

So

      df  =  15  -  2

=>    df  =  14

Generally the p-value  is mathematically represented as

     p-value  = 2 *  P(t >  1.342 )

Generally from the t -distribution table the probability of 1.342 at a degree of freedom of  df  =  28 is  

       P(t >  1.342 ) = 0.10047

So

     p-value  = 2 * 0.10047

=>   p-value  = 0.201

Generally from the value  obtained we see that p-value  > \alpha Hence

The  decision rule is  

Fail to  reject the null hypothesis

The conclusion is

The cooling system changes the temperature of the water by 6 degrees

You might be interested in
What is the measure of angle DOC, given that AB is congruent to DC
pickupchik [31]

Answer:

D. 65 degrees

Step-by-step explanation:

If two sides are congruent the corresponding angles are also congruent

5 0
3 years ago
y varies directly as x and inversely as the square of z. y equals y=30 when x equals x=108 and z equals z=6. Find y when x equal
Slav-nsk [51]

Answer:

Step-by-step explanation:

That really easy Peary it’s not eieoruirbcbdkehbdbs shrine chdiej

4 0
3 years ago
Someone help me please !!!
KIM [24]

Answer:

1. 10

2. 12

3. Sqrt 130

4. Sqrt 45

Step-by-step explanation:

To find the missing side of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem is a^2+b^2=c^2 where a and b are the legs with a being the smallest and c is the hypotenuse.

1. a=6, b=8, c=?

6^2+8^2=c^2\\36+64=c^2\\100=c^2\\10=c

2. a=5, b=?, c=13

5^2+b^2=13^2\\25+b^2=169\\169-25=b^2\\144=b^2\\12=b

3. a=7, b=9, c=?

7^2+9^2=c^2\\49+81=c^2\\130=c^2\\\sqrt{130}=c

4. a=2, b=?, c=7

2^2+b^2=7^2\\4+b^2=49\\49-4=b^2\\45=b^2\\\sqrt{45}=b

5 0
3 years ago
Can anyone help me with this? I know that angle B is 90°
sergey [27]

Answer:

angle c is 58 degrees and and angle a is 42 degrees

Step-by-step explanation:

3 0
2 years ago
Cube-shaped blocks are packed into a cube-shaped storage container. ​ The edge length of the storage container is 212 feet. The
igor_vitrenko [27]

Answer:

The volume of cube-shaped block is 0.125 cubic feet.

Step-by-step explanation:

We are given the following in the question:

Edge length of storage container =

2\dfrac{1}{2}\text{ feet}

Edge length of block =

\dfrac{1}{5}\times \text{Edge length of container}

Putting value we get,

Edge length of block =

\dfrac{1}{5}\times 2\dfrac{1}{2}\\\\=\dfrac{1}{5}\times \dfrac{5}{2}\\\\=\dfrac{1}{2}\text{ feet}

Volume of cube-shaped block = Volume of cube

V = \text{(Edge)}^3\\\\V =(\dfrac{1}{2})^3\\\\V = \dfrac{1}{8}\text{ cubic feet}\\\\V = 0.125\text{ cubic feet}

Thus, the volume of cube-shaped block is 0.125 cubic feet.

7 0
3 years ago
Other questions:
  • You want to put 520 quarters in coin wrappers you need one wrapper for every 10$ in quarters write an equation you can use to fi
    11·1 answer
  • What is the slope of the line containing (6, -7) and (5, -9)?<br> A) 1<br> B) -2.<br> C) 2<br> D) 16
    5·1 answer
  • A server gets an average of $4.50 in tips for each table he serves. In the morning, the server had 12 tables and in the afternoo
    15·1 answer
  • A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the
    13·1 answer
  • A person walks 2 3 of a mile in 2 9 of a hour. Which complex fraction when simplified will compute the unit rate of miles per ho
    7·2 answers
  • Los ingresos de una familia son el sueldo del padre de $ 560.400 y el aporte del hijo mayor de $280.600. El 34% de estos ingreso
    14·1 answer
  • What is the volume, in cubic ft, of a rectangular prism with a height of 9ft, a width of 13ft, and a length of 4ft?
    15·1 answer
  • IS 250% of 44 over 100
    5·2 answers
  • Please help pleaasse
    9·1 answer
  • What is cos 28 degrees
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!