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
aniked [119]
3 years ago
14

Suppose the number of pages per book in a library has an unknown distribution with population mean 309 and population standard d

eviation 30. A sample of size n=50 is randomly taken from the population, and the sum of the values is taken. Using the Central Limit Theorem for Sums, what is the standard deviation for the sample sum distribution? Round your answer to two decimal places.
Mathematics
1 answer:
alexandr1967 [171]3 years ago
4 0

Answer:

The standard deviation for the sample sum distribution is 212.13

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

For sums

Distribution is approximately normal with mean n*\mu and standard deviation \sqrt{n}*\sigma

Using the Central Limit Theorem for Sums, what is the standard deviation for the sample sum distribution?

We have n = 50, \sigma = 30.

So

\sqrt{50}*30 = 212.13

The standard deviation for the sample sum distribution is 212.13

You might be interested in
How to solve -7(x-1)^2+7 vertex form to standard form
Allushta [10]
Now I don’t know how to do this but I would recommended a tutor for you
3 0
3 years ago
a car delership is haveing a sale in which customer oay 85% of the reatil price fir a new vehicle . keith is buyibg a vechile wi
Ksivusya [100]
First, you will want to take 9% off the retail price of 36000. 
(9/100)*36000
Once you find that answer, take 85% of that. 
5 0
3 years ago
Which one is the correct answer???
faust18 [17]

Answer:

D.

Step-by-step explanation:

f(x)·g(x)=(x³+2x²+3x+1)(4x-5)

           =4x^{4} +8x^{3} +12x^{2} +4x-5x^{3} -10x^{2} -15x-5

           =4x^{4} +3x^{3} +2x^{2} -11x-5

4 0
3 years ago
A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c
Anna [14]

Answer:

The interval from the sample of size 400 will be approximately <u>One -half as wide</u> as the interval from the sample of size 100

Step-by-step explanation:

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion

Generally the margin of error is mathematically represented as

      E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }    

Here assume that Z_{\frac{\alpha }{2} } \ and \  \sigma \ is constant so

     E =  \frac{k}{\sqrt{n} }

=>  E \sqrt{n} = K

=>   E_1 \sqrt{n}_1 =  E_2 \sqrt{n}_2

So  let  n_1 = 400 and n_2 =  100

=>   E_1 \sqrt{400} =  E_2 \sqrt{100}

=>  E_1 =  \frac{\sqrt{100} }{\sqrt{400} } E_2

=>  E_1 =  \frac{1}{2 } E_2

So From this we see that  the confidence interval for a sample size of 400 will be half that with a sample size of 100

   

     

   

7 0
2 years ago
What is the slope and y intercept of -2x +3y=-9
attashe74 [19]

Answer:

m = 2/3

b = -3

Step-by-step explanation:

Rearrange the equation to slope-intercept form (y = mx + b).

x and y are points on the graph.

m is the slope.

b is the y-intercept.

Isolate "y". This means separating it from the other numbers.

-2x +3y = -9

-2x + 2x +3y = -9 + 2x    Add 2x to both sides

3y = 2x - 9

3y/3 = 2x/3 - 9/3      Divide both sides by 3

y = 2x/3 - 9/3      Simplify

y = (2/3)x - 3

Think about which numbers and "m" and "b" now that the equation is in y = mx + b. Include the plus and minus signs.

m = 2/3

b = -3

8 0
3 years ago
Other questions:
  • Trey buys his favorite fishing lure in quantity. The total amount, y, Trey pays for his purchase is proportional to the number,
    7·2 answers
  • A car rental agency initially offers a car that can go 304 miles on 19/2 gallons of gasoline. There are other vehicles available
    7·1 answer
  • There are 1,044 apartments in Baldwin County this year, which is approximately an 8.1% increase from last
    5·1 answer
  • What is the lower limit of f(x) = x^5 - 3x^3+ 24
    5·1 answer
  • At a school
    8·2 answers
  • A rectangular pan has a length that is 4/3 the width. The total area of the pan is 432 in.2. What is the width of the cake pan?
    10·2 answers
  • I really need help with my test , number 2 :((
    13·1 answer
  • PLEASSSSSSSSEEEEEEEEEEEEEEEE JUST ANSWER MY QUESTION STOP SKIPPING ME SHOW WORK PDF BELOW FIND SURFACE AREA PLEASE 50 POINTS
    5·1 answer
  • Find The slope of the line that passes through the point (2,4) ,(3,8)
    14·1 answer
  • Is ab tangent to the circle​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!