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
Sati [7]
3 years ago
14

The per capita electric power consumption level in a recent year in Ecuador is normally distributed, with a mean of 471.5 kilo-w

att hours and a standard deviation of 187.9 kilowatt-hours. Random samples of size 35 are drawn from this population. Find (a) the mean and (b) the standard deviation of the sampling distribution of sample means. Round the answer from part (b) to the third decimal place.
Mathematics
1 answer:
Olin [163]3 years ago
7 0

Answer:

a) 471.5 kilo-watt hours.

b) 31.76 kilo-watt hours

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the population:

Mean 471.5 kilo-watt hours.

Standard deviation of 187.9 kilowatt-hours.

For the sample:

Sample size of 35, by the Central Limit Theorem:

a) Mean

471.5 kilo-watt hours.

b) Standard deviation

s = \frac{187.9}{\sqrt{35}} = 31.76

31.76 kilo-watt hours

You might be interested in
Easy points :) <br> 2*2*2+2-1
kipiarov [429]

Answer:

9

Step-by-step explanation:

2*2=4*2=8+2=10-1=9

7 0
3 years ago
what is the vomume of the box with a height of 3/2 inches, a length of 7/2 inches, and a width 5/2 inches
JulsSmile [24]

Answer:

105/8 inch^3

Step-by-step explanation:

7/2*5/2*/3/2 = 105/8

8 0
3 years ago
Read 2 more answers
A pack of 24 cans costs £6. Work out the cost of 5 cans.
VARVARA [1.3K]
<span>24 cans costs £6

6/24 = 0.25 each can

5 * 0.25 = </span><span>£1.25

answer: </span>£1.25 for <span>5 cans</span>
6 0
3 years ago
Read 2 more answers
Please help ASAP!!!! ​
katrin [286]

The answer is B i had this problem.

6 0
3 years ago
Read 2 more answers
Television networks rely on surveys to determine how many people watch their programs. In a survey of 3,000
lapo4ka [179]

Answer:

C

Step-by-step explanation:

\frac{480}{3000} x 105,000,000 = 16,800,000

5 0
11 months ago
Other questions:
  • Determine whether this is valid or invalid argument
    13·2 answers
  • Graph the lines by finding the points of intersection with the axes (intercepts): y=2x+2
    5·1 answer
  • Find the measure of AB
    13·1 answer
  • A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.
    15·1 answer
  • What's an easier way from multiplication ?
    14·2 answers
  • There is a Minecraft sale for 30% off all games. Which expression represents the total cost of Minecraft Dungeons if it cost x d
    15·2 answers
  • Please determine x.
    6·1 answer
  • Can you help me in rule? <br><br> I am doing it right?
    15·1 answer
  • Francis mixes 3/8 gal of white paint 2 7/8 gal of blue paint and 1 1/4 gal of red paint.
    7·1 answer
  • 925÷25 show how you get it​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!