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
QUICK I NEED HELP!!!
Tems11 [23]

Answer:

168

Step-by-step explanation:

photos are enlarged by a certain factor, divide the new width by the old width and youll get the factor (12).

You can then multiply the original height by 12 to get the answer

12 X 14 =168

8 0
2 years ago
Read 2 more answers
Easy question right here!
Bad White [126]
12 glad I could help!
6 0
3 years ago
Read 2 more answers
The midpoint of overline AB is M(4, -5). If the coordinates of A are (6, -4)what are the coordinates of B?
jolli1 [7]

Img attached

\huge\mathfrak\colorbox{white}{}

7 0
1 year ago
Question: (Graph photo attached)
Anna11 [10]

The double bar graph shows the number of imports and exports for a company in a certain week.

On how many days was the number of exports greater than the number of imports?

Answer: From the given double bar graph, we clearly see:

Number of imports for a company on Monday = 15

Number of exports for a company on Monday = 7

Number of imports for a company on Tuesday = 18

Number of exports for a company on Tuesday = 9

Number of imports for a company on Wednesday = 14

Number of exports for a company on Wednesday = 14

Number of imports for a company on Thursday = 15

Number of exports for a company on Thursday = 6

Number of imports for a company on Friday = 9

Number of exports for a company on Friday = 19

From the above information, we clearly see that only on Friday the number of exports are greater than number of imports. Therefore, there is only 1 day when the number of exports greater than the number of imports.

Hence the option D. 1 is correct



8 0
3 years ago
Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3
Ksivusya [100]

Answer:

One solution: 0x + 0.5y = 0

Step-by-step explanation:

9x + 4y = 36

6x + 2.5y = 24

2 * Eq. 1

18x + 8y = 72

-3 * Eq. 2

-18x - 7.5y = -72

Add the multiples of the equations.

0x + 0.5y = 0

Answer: One solution: 0x + 0.5y = 0

4 0
3 years ago
Read 2 more answers
Other questions:
  • Properties of equality
    14·1 answer
  • Elizabeth had 12 stamps. she decided to write letters to some of her relatives. after she sent her letters, she had 4 stamps lef
    10·2 answers
  • Match the graph of the equation: y=−6x2−12x−7
    14·1 answer
  • How to simplify 20/10
    11·1 answer
  • The mean age of Lincoln's tee-ball team is 5. Suppose one of his 7-year-old teammates quits the team, but a 6-year-old joins the
    8·2 answers
  • How do i measure the diameter of a circle?
    6·2 answers
  • Round 0.817446 to the ten-thousandths place. Please I need this fast!!!!
    6·1 answer
  • PLz HELP ME NOW AND I WILL MARK U BRAINLIEST
    14·1 answer
  • Calculate the area and volume of 3.3 m and 6.2 m​
    10·1 answer
  • The ratio of cats to dogs in the shelter is 2:3. If there are 8 cats, how many dogs are there?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!