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
Who can help me with this worksheet ASAP need it for my tomorrow and I have a lot of homework to do please someone help me
RUDIKE [14]

Answer:

  1. 5n square root 5
  2. 6 square root 6v
  3. 16ki square root 2
  4. 10m square root m
  5. 4p square root 5p
  6. 3pi square root 5


6 0
3 years ago
The difference between a number and 12 is 20<br><br> Write an equation
Kryger [21]
20 - 12 = x
combine like terms, theres ur answer
5 0
3 years ago
Read 2 more answers
SEAGULLS A biologist studying seagulls estimates that 5% of the seagulls in a flock have been banded. If 22 of the seagulls have
mina [271]

Answer:

440 seagulls

Step-by-step explanation:

Total number of seagulls in flock = Number of seagulls have banded / Percentage of seagulls have banded

Total number of seagulls in flock = 22 / 5%

Total number of seagulls in flock = 22 / 0.05

Total number of seagulls in flock = 440 seagulls

6 0
2 years ago
Find the 19th term of the arithmetic sequence whose common difference is =d5 and whose first term is =a12.
emmasim [6.3K]
An=a1+d(n-1)
a1=first term
d=common difference
n=which term

common difference is 5 first term is 2
an=5+2(n-1)
19th term is n=19
a19=5+2(19-1)
a19=5+2(18)
a19=5+36
a19=41

19th term is 41
4 0
3 years ago
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and eac
ki77a [65]

Answer:

79 people can only be in this so we have 53 kids so 53 * 4 = 212

Step-by-step explanation:

However, there is 53 kids to find how many adults you will have to do 79 - 53 which that = 26 so 26 adults were there. so 26 * 8.50 = 221.

To fine how much money they earn you will just have to add them up so

$212 + $ 221 = $433 so they didn't really earn the amount of money they really want which is $ 460.

4 0
3 years ago
Other questions:
  • Use the formula C = 2πr and π= 3.14 to find the circumference of a circle with a radius of 5 meters.
    11·1 answer
  • You earn $7.50 per hour at a fast food restaurant. You earned $123.75 last week. How many hours did you work last week?
    13·1 answer
  • Solve the equation for y (picture below)<br> Please show work and solve as much as you can
    11·1 answer
  • What is the following quotient? 2-sqrt8/ 4+sqrt12
    7·1 answer
  • Please help, I'm in Pre-Calc, reviewing Algebra stuff.
    5·1 answer
  • You can draw a quadrilateral with two sets of parallel lines and no right angles.
    12·1 answer
  • What is an equation of the line that passes through the points (−6,−2) and (6, 8)
    7·1 answer
  • Replace the * with a monomial so that the trinomial may be represented by a square of a binomial:
    15·1 answer
  • PLEASE HELP ME!!!! 50 POINTS + BRAINLYEST!!!!!
    15·1 answer
  • Hey i needed help with this scale factor
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!