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
kicyunya [14]
3 years ago
6

Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste wat

er that is allowed to flow into the Atlantic Ocean. The Environmental Protection Agency (EPA) has ordered that the waste water may not be excessively warm so that thermal pollution of the marine environment near the plant can be avoided. Because of this order, the waste water is allowed to cool in specially constructed ponds and is then released into the ocean. This cooling system works properly if the mean temperature of waste water discharged is 60°F or cooler. Consolidated Power is required to monitor the temperature of the waste water. A sample of 100 temperature readings will be obtained each day, and if the sample results cast a substantial amount of doubt on the hypothesis that the cooling system is working properly (the mean temperature of waste water discharged is 60°F or cooler), then the plant must be shut down and appropriate actions must be taken to correct the problem.(a)Consolidated Power wishes to set up a hypothesis test so that the power plant will be shut down when the null hypothesis is rejected. Set up the null hypothesis H0 and the alternative hypothesis Ha that should be used.H0: μ (select) 60 versus Ha: μ (select) 60.(b)Suppose that Consolidated Power decides to use a level of significance of α = .05 and suppose a random sample of 100 temperature readings is obtained. If the sample mean of the 100 temperature readings is formula310.mml = 61.498, test H0 versus Ha and determine whether the power plant should be shut down and the cooling system repaired. Perform the hypothesis test by using a critical value and a p-value. Assume σ = 6. (Round your z to 2 decimal places and p-value to 4 decimal places.)z =p-value =(Select: Reject or Do not reject) H0. So the plant (Select: Should or Should not) shut down and the cooling system repaired.
Mathematics
1 answer:
Gemiola [76]3 years ago
7 0

Answer:

We conclude that the plant should shut down.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, \bar{x} = 61.498

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 6

a) First, we design the null and the alternate hypothesis  such that the power plant will be shut down when the null hypothesis is rejected.

H_{0}: \mu \leq 60\\H_A: \mu > 60

We use One-tailed(right) z test to perform this hypothesis.

b) Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{61.498 - 60}{\frac{6}{\sqrt{100}} } = 2.49

Now, z_{critical} \text{ at 0.05 level of significance } = 1.64

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

Calculating the p-value from the z-table:

P-value = 0.0063

Since,

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

You might be interested in
How much, in total, did Noel spend to cash her three most recent paychecks?
astra-53 [7]

The total amount of money that was spent by Noel to cash her three (3) most recent paychecks is equal to $10.99.

<h3>What is a paycheck?</h3>

A paycheck can be defined as a financial document that is issued by an employer to an employee as payment for the work done over a period of time.

<h3>How to calculate the amount spent.</h3>

From the table, we can see that the amount of money charged by the bank as check processing fee is equal to $1.99, as well as 1.99% (0.0199) of the amount being cashed by a customer.

Thus, we would compute the amount of money spent by Noel as follows:

Noel = (0.0199 × 100.53) + (0.0199 × 119.38) + (0.0199 × 122.52) + (1.39 × 3)

Noel = 2.00 + 2.38 + 2.44 + 4.17

Noel = $10.99.

Read more on paycheck here: brainly.com/question/26174938

7 0
2 years ago
What is the sum? I really need help ASAP
olya-2409 [2.1K]

Answer:

im confussed

Step-by-step explanation:

5 0
3 years ago
Three interior angles of a polygon are,100degrees,120degrees,and 108degrees.Find the remaining two sides,if one of them is three
k0ka [10]

Answer:

Joe Mama :))))))))))))))))))))))

Step-by-step explanation:

8 0
3 years ago
Fre.e brainliest,<br><br> just name 3 types of monkeys
nekit [7.7K]

Answer:

Emperor tamarin, Mandrill, and Japanese macaque.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Plz help! Will mark brainliest if correct! No links please
joja [24]

Answer:

20.8

Step-by-step explanation:

hope this helps

8 0
3 years ago
Other questions:
  • How many solutions are there to the equation below 15x+11=8x
    7·2 answers
  • What are the x- and y-intercepts of the graph of y = x2 − 10x + 21?
    8·2 answers
  • What is less 2/10 or 10/6?
    14·1 answer
  • What is the answer to |3x-3|=9
    10·1 answer
  • Angle is in standard position, if sin(0) = -1, and A&lt;$&lt; 3,4, find cos(O).<br> Why?
    13·2 answers
  • F(x)=a^x which of the following expressions is equal to f(3) * f(4)<br> f(3^4)<br> f(3+4)<br> F(3*4)
    11·1 answer
  • Find the perimeter of M
    12·1 answer
  • Points A, B, C, D, and E form a pentagon. Which of the following ordered pairs can be located inside the pentagon?
    14·1 answer
  • 4. What is the experimental probability of flipping a head after<br> twenty flips of the coin?
    6·2 answers
  • Find x<br> 8x + 14<br> 9x + 2<br> A) 8<br> C) 11<br> B) 7<br> D) 12
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!