answer.
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
BlackZzzverrR [31]
2 years ago
6

The number of siblings an individual has varies from student to student. The distribution of the number of siblings is strongly

skewed to the right. The central limit theorem says that:________
(a) as we look at more and more students, their mean number of siblings gets ever closer to the mean u for all students.

(b) the mean number of siblings for any number of students has a distribution of the same shape (strongly skewed) as the distribution for individual students.

(c) the mean number of siblings for any number of students has a distribution that is close to Normal.

(d) the mean number of siblings for a large number of students has a distribution of the same shape (strongly skewed) as the distribution for individual students.

(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.
Mathematics
1 answer:
ivanzaharov [21]2 years ago
7 0

Answer:

(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.

Step-by-step explanation:

Central Limit Theorem

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.

By the Central Limit Theorem

The sampling distributions with a large number of students(at least 30) will be approximately normal, so the correct answer is given by option e.

You might be interested in
If R is the midpoint of QS , find QS (QR = 5x-3 and RS =21-x)
Finger [1]

Answer:

QS is 34

Step-by-step explanation:

We find x first. We set each side equal to each other to do so.

5x-3=21-x

6x=24

x=4

Next we find QS value. We add each side.

5x-3+21-x

4x+18

Then we plug in x to find numeric value.

4(4)+18

34

3 0
2 years ago
Read 2 more answers
Triangle ABC was dilated and translated to form similar triangle A'B'C'.
Hunter-Best [27]
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.

On this exercise is asked to find the scale factor by which the triangle ABC was 
dilated to produce the triangle A'B'C'. 
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.

As can be see on the picture the dilation produce was an enlargement meaning that the image is larger that the preimage.
Of this form you can discard the choices A and B as possible solutions.

Lets try 5/2 as the possible scale factor:
(x,y)-- (kx, ky)
A(0,2)--(5/2(0),5/2(2))=A'(0,5)
B(2,2)--(5/2(2),5/2(2))=B'(5,5)
C(2,0)--(5/2(2),5/2(0))=C'(5,0)

Lets try 5/1 or 5 as the scale factor:
A(0,2)--(5(0),5(2))=A'(0,10)
B(2,2)--(5(2),5(2))=B'(10,10)
C(2,0)--(5(2),5(0))=C'(10,0)

As said at the beginning of the question the triangle was not only dilated.
After a dilation and a translation, the scale factor of the dilation is letter C or 5/2.  

3 0
2 years ago
Read 2 more answers
A local garden club had 14 members with a mean age of 34. Then two new members joined. One was 24 years old, and the other was 3
Vladimir79 [104]
<h3>Answer:</h3>

The mean age decreased.

<h3>Step-by-step explanation:</h3>

I find it convenient to look at the additions with respect to the current mean age.

The current total age is 14×34. We have added members with ages (34 -10) and (34 +2), so the new total age is ...

... (34×14) + (34 -10) + (34 +2) = (16×34) - 8

Dividing this total by 16 will give the new mean age. (We already know it is less than 34.)

... ((16×34) -8)/16 = 34 - 1/2 = 33 1/2 . . . new mean age; a decrease

7 0
2 years ago
Jessica has a bag with 2 mint sticks, 4 jelly treats, and 14 fruit tart chews. If she eats one piece every 9 minutes, what is th
weqwewe [10]
If you add all the numbers to gather you get 20 you said the first two fruit tart chew and a jelly treat what you do after you add all the numbers together is you look at what you trying to find out you you are trying to find out the fruit tart chew and jelly treat so you have 4 jelly treats and 14 fruit tar chew you add them together and you get 18 next you divide 18 by 2 and you get 0.9 
so your answer is 0.9 
hope it helps and hope get an a i wish you the best of luck
5 0
2 years ago
Read 2 more answers
A car traveled 23 miles in 15 minutes. how many miles per hour was it traveling?
NNADVOKAT [17]

Answer:

1.533333  miles per hour

If It Helped u do mark me as brainliest

3 0
2 years ago
Read 2 more answers
Other questions:
  • Which statement about 6x2 + 7x – 10 is true? One of the factors is (x + 2). One of the factors is (3x – 2). One of the factors i
    11·2 answers
  • Alison is saving for retirement. Her company matches what she puts into her 401K in a ratio of 2:3. If she puts in $400 each mon
    13·2 answers
  • A region in the plane is bounded by the graph of y=1/x, the x-axis, the line x=m and the line x=3m, m&gt;0. the area of this reg
    6·2 answers
  • The lemonade stand at the county fair sells the lemonade at a price of two cups for $3.60. Complete the table at right to find w
    8·1 answer
  • Bill Payne visits his local bank to see how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%.
    14·1 answer
  • At Friday's football game, 1294 tickets were sold for a total amount of $8,816.00 . If each student ticket costs $5.00,and each
    12·1 answer
  • For the high school's production of "Grease," 490 tickets were sold. The cost of a student
    11·1 answer
  • If the office furniture costs $9,900 and it was three times as expensive as the office computer, what was the cost of the comput
    5·2 answers
  • Mr. Chiro drew a design for an outdoor kitchen. The food prep area will be on a rectangular platform made of concrete that is 5
    11·1 answer
  • If a laptop originally costs $800, the balance due after the 10% discount and $150 gift card is applied is $
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!