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
den301095 [7]
3 years ago
7

In a large population, 82% of the households have cable tv. A simple random sample of 225 households is to be contacted and the

sample proportion computed. What is the mean and standard deviation of the sampling distribution of the sample proportions?
Mathematics
2 answers:
anzhelika [568]3 years ago
7 0

Answer:

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

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 proportions, the mean is \mu = p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

In this problem, we have that:

p = 0.82, n = 225.

So

\mu = 0.82

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.82*0.18}{225}} = 0.0256

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

Kazeer [188]3 years ago
3 0

Answer:

Mean = 0.82

Standard deviation = 0.0256

Step-by-step explanation:

From the question, we are given:

n= 225

p = 0.82

For a normally distributed random variable X, the sample means can be said to be normal distribution with mean and standard deviation..

Therefore, the mean of the sampling distribution of the sample proportions will be:

p = 0.82

Now, the standard deviation of the sampling distribution of the sample proportion, will be:

= \sqrt\frac{p(1-p)}{n}

= \sqrt\frac{0.82(1-0.82)}{225}

= 0.0256

Therefore, the mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

You might be interested in
If I make $84000 a year, how much is that per month?
drek231 [11]

Answer:

$|-7000|

Step-by-step explanation:

divide 84000 by 12 = 7000

6 0
3 years ago
Read 2 more answers
The price of the product decreased by 10%and then decreased by 20% . calculate total percentage change between the final and ini
aev [14]

What is percentage change?

By quantifying the difference between two numbers and expressing it as an increase or decrease, the Percentage Change Calculator (percent change calculator) may determine the percentage change.

The initial price V_{1} (100%) was decreased by 10%., then this reduced price is reduced more by 20% that becomes the final price V_{2} which is 72.

Calculate percentage change from $V_{1}=100$ to $V_{2}=72$.

=& \frac{\left(V_{2}-V_{1}\right)}{\left|V_{1}\right|} \times 100 \\

=& \frac{(72-100)}{|100|} \times 100 \\

=& \frac{-28}{100} \times 100 \\

=&-0.28 \times 100 \\

=&-28 \% \text { change } \\

=& 28 \% \text { decrease }

To know more about percentage change visit:

brainly.com/question/7568722

#SPJ4

7 0
1 year ago
3x=9 divide each side by 3 x=3
podryga [215]

Answer:

3

Step-by-step explanation:

3x=9

3(3)=9

3/3=0=9/3=3

answer=3

3 0
2 years ago
How would you write a decimal that is less than five Ten thousandths
asambeis [7]

Five ten-thousandths looks like this:  0.0005

All of these are less:

0.0004
0.0003
0.0002
0.0001
0.00001
0.000001
.
.
etc.

3 0
3 years ago
6 47/75 as a percentage
almond37 [142]

Answer:

662.6%

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • The angles below are supplementary. what is the value of x?
    7·2 answers
  • 8 to the thrid power
    12·2 answers
  • Identify the center and radius of each.<br><br> x^+y^+24x-18y+200=0
    5·2 answers
  • A movie theater has a seating capacity of 337. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
    12·1 answer
  • 10 coupons are given to 20 shoppers in a store. Each shopper can receive at most one coupon. 5 of the shoppers are women and 15
    12·1 answer
  • Please help im really confused
    5·2 answers
  • To qualify to drive in HOV lanes, your car must have _____.
    12·1 answer
  • What is the area of the logo?​
    12·2 answers
  • PLEASE HELP WILL MARK BRAINLIEST PLZ PLZ PLZ!!
    7·2 answers
  • Find the value of x .
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!