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 13(n + 4 + 7m)​
nikklg [1K]

Answer:

91m+13n+52

Step-by-step explanation:

7 0
3 years ago
A rectangle has sides of length 6.1cm and 8.1cm correct to one decimal place.
tamaranim1 [39]
The area is 49.41

6.1x8.1
8 0
2 years ago
Read 2 more answers
Write the standard number for 800,000 + 4,000 + 600 + 40 + 2.
murzikaleks [220]

Answer:

804,642

Step-by-step explanation:

800,000 + 4,000 + 600 + 40 + 2.

Add the terms

804,642

4 0
3 years ago
What is 99 divided bye 100
WINSTONCH [101]

Answer:

= 0.99

Step-by-step explanation:

6 0
3 years ago
Please help. will give brainliest ​
jenyasd209 [6]

Answer:

C

Step-by-step explanation:

General probability is 3+5+4=12

3+4=7 (oranges and bananas answer is c

7 0
2 years ago
Other questions:
  • Please answer this question!! Its easy
    10·2 answers
  • for the polynomial P(x)=4x^2-5x+6 and c =1, find p(c) by (a. direct substitution and (b. the remainder theorem
    13·1 answer
  • 1) 2678 cm into feet.
    15·2 answers
  • Find the perimeter and the area of the polygon with the given vertices. W (11,2), X (11,8), Y (14,8), Z (14,2)
    9·1 answer
  • Rose is making greeting cards, which she will sell by the box at an arts fair. She paid $50 for a booth at the fair, and the mat
    12·1 answer
  • PLZ HELP d+(−5.004)=2.826<br><br>This is from khan academy btw!<br> what dose d=
    6·1 answer
  • PLEASE ANSWER ASAP FOR BRAINLIEST
    9·2 answers
  • Please do this for me and I will give you brainliest and everything PLEASE...
    5·1 answer
  • Four runners are training for long races. Noah Ran 5.123 miles. Andre ran 6.34 miles. Jada ran 7.1 miles. Diego ran 8 miles.
    14·1 answer
  • Is 2.25 plus 6 irrational
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!