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
storchak [24]
3 years ago
5

Wind farm configuration is a significant issue as the upwind turbines generate maximal energy while creating wakes for downwind

turbines. One measurement of interest is the wake expression parameter, WEP. A random sample of 180 WEP measurements in rescaled units has mean 26.7 and standard deviation 17.7. (a) Compute a 95% confidence interval for the true mean WEP. (b) Does the true mean WEP differ from 30? Explain.
Mathematics
1 answer:
lord [1]3 years ago
7 0

Answer:

a) [24.114,29.2858]

b) Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP

Step-by-step explanation:

a)

The 95% confidence interval is given by the interval

\bf [ \bar x-z^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]

where

\bf \bar x= 26.7 is the sample mean  

s = 17.7 is the sample standard deviation  

n = 180 is the sample size

Since the sample size is big enough, we can use the Normal N(0,1) to compute \bf z^* and it would be 1.96(*) (a value such that the area under the Normal curve outside the interval [-z, z] is 5% (0.05))

and our 95% confidence interval is

\bf [26.7-1.96*\frac{17.7}{\sqrt{180}}, 26.7+1.96*\frac{17.7}{\sqrt{180}}]=\boxed{[24.114,29.2858]}

(*)

This value can be computed in Excel with

<em>NORMINV(1-0.025,0,1)</em>

and in OpenOffice Calc with

<em>NORMINV(1-0.025;0;1)</em>

b)

Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP

You might be interested in
adidas is ready to launch its new shoe line, but needs to determine what color the shoes should be so that customers will actual
Dmitry [639]

Answer:

Yellow and purple

Step-by-step explanation:

7 0
3 years ago
Solve forx: (x – 3)/ 3 =4​
Nezavi [6.7K]

Answer:

x = 15

Step-by-step explanation:

=> x - 3 = 12

=> x = 15

8 0
3 years ago
Read 2 more answers
The width of a plant cell is approximately 0.00001276 meter. Use scientific notation to write the width of the plant cell. NEED
Ilya [14]
It would be 1.276 x 10(5) the exponent is 5 next to the 10
6 0
3 years ago
Use a graphing tool to graph the function and complete the sentences based on the graph of the function f (x) = StartLayout Enla
ahrayia [7]

Answer:

0, negative infinity

7 0
3 years ago
Read 2 more answers
In a certain lottery, 3 balls are drawn (at random) from 10 white balls numbered from 1 to 10, and one special ball is drawn (at
prohojiy [21]

Answer:

What are the answer options... I have an answer but I want to check if it is correct... thanks

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • workers have painted 920 square feet of an office they have completed 80% of their job how many square feet do they need to. pai
    15·1 answer
  • What is another name for a pie graph
    10·1 answer
  • How many oz are in a pound
    9·2 answers
  • What is the slope for (−5,−10) and (−1,5)<br><br> A 15/4<br> B - 4/15<br> C -15/4<br> D 4/15
    5·1 answer
  • Question 3
    10·1 answer
  • 5. Which function would have the point (0,0) on its graph?
    7·1 answer
  • Plz help! Will give brainliest!
    11·2 answers
  • Plz Help!! <br><br> Factor the Polynomial: -6x² - 15x + 9
    5·2 answers
  • Is it possible for y to be an independent variable?????????
    6·2 answers
  • Will give Brainly answer
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!