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
levacccp [35]
3 years ago
8

For which of the following situations would the central limit theorem not imply that the sample distribution for x¯x¯ is approxi

mately Normal?A. a population is not Normal, and we use samples of size ????=50n=50 .B. a population is not Normal, and we use samples of size ????=6n=6 .C. a population is Normal, and we use samples of size ????=50n=50 .D. a population is Normal, and we use samples of size ????=6n=6 .
Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Answer:

B. a population is not Normal, and we use samples of size n=6 .

Not satisfy the conditions since the sample size is not large enough

Step-by-step explanation:

Previous concepts

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Solution to the problem

The assumptions to use the central limit theorem are:

a) We need that the data would be sampled randomly.

b) the Samples should be independent of each other.  

c) The sample size should be sufficiently large (n>30).

A. a population is not Normal, and we use samples of size n=50 .

Satisfy the conditions since the no matter if the distribution of X is not normal, we have that the sample size is enough large

B. a population is not Normal, and we use samples of size n=6 .

Not satisfy the conditions since the sample size is not large enough

C. a population is Normal, and we use samples of size n=50 .

Satisfy alll the conditions, sample size large enough

D. a population is Normal, and we use samples of size n=6 .

The sample size is not large enough but on this case the distribution for X is normal so then would be apply apply the CLT.

You might be interested in
Tarik rides a stationary bike and Janet rides her bike on a trail. Their data is shown
KiRa [710]

Answer:

Part a. The graph does not model a proportional relationship.

Part b. The values in table model a proportional relation.

3.5 minutes per mile.

Step-by-step explanation:

Part a.

The graph shown in the question representing Janet's data is not a straight line although it passes through the origin.

That is why the rate of change of distance with time is not constant.

Therefore, the graph does not model a proportional relationship.

Part b.

If we plot the data in the table using distance in miles along the y-axis and time in minutes along the x-axis, then we will get a straight line passing through the origin.

So, the values in the table model a proportional relation.

Now, Tarik's unit rate in minutes per miles will be \frac{7-0}{2-0} =3.5 minutes per mile. (Answer)

6 0
3 years ago
the greatest internet function shown below is defined so that it produces the greatest interger____ or equal to x
kotykmax [81]

Answer: less than

Step-by-step explanation: the greatest internet function shown below is defined so that it produces the greatest integer less than or equal to x.

5 0
3 years ago
Read 2 more answers
Calculate volume of hemisphere with radius 3.2 cm
Olin [163]

Answer:

V ≈ 68.63 cm³

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = \frac{4}{3}πr³

the volume of a hemisphere is half the volume of a sphere, so

V = \frac{1}{2} × \frac{4}{3} πr³ = \frac{2}{3} πr³ , then

V = \frac{2}{3} π × 3.2³

  = \frac{2}{3} π × 32.768

  ≈ 68.63 cm³ ( to 2 dec. places )

5 0
2 years ago
Are these lines parallel, perpendicular, or neither? 3y=x+4 and 3x+y=1
REY [17]

Answer:

perpendicular

Step-by-step explanation:

3y = x + 4 in slope intercept form y = 1/3x +4/3

3x + y = 1 in slope intercept form y = -3x +1

the slopes are negative reciprocals of each other so they are perpendicular

5 0
2 years ago
Read 2 more answers
All of the sides in the figure above are the same length. In addition, sides x and z are parallel and sides w and y are parallel
vfiekz [6]
The first thing we have is the following statements:
 "All of the sides in the figure are the same length":
 x = z = w = y
 "In addition, sides x and z are parallel and sides w and y are parallel":
 x ll z and w ll y
 Both statements define a square.
 Answer:
 
The most specific term for this figure is:
 
Square
7 0
3 years ago
Other questions:
  • A 36-foot long fence is placed around a square garden. What is the length of one side of the garden? (1 point)
    10·2 answers
  • Alexander is a stockbroker. He earns 14% commission each week. Last week, he sold $6,400 worth of stocks. How much did he make l
    9·1 answer
  • Drawing Conclusions Consider the expression. 6 · 60 · 6–3 Which statements are true about the expression? Check all that apply.
    8·2 answers
  • -3*6<br> Multiplying and dividing integers
    15·1 answer
  • 2.3m=0.46 in a word sentence
    12·2 answers
  • Which quadratic function in standard form can be represented by the graph that has a vertex at (6, 3) and passes through the poi
    13·1 answer
  • What type of triangle is this ?
    9·1 answer
  • PLEASE HELP NEED HELP ASAP!!!!!!
    14·2 answers
  • Solve psl brainliest
    13·2 answers
  • Please help!! I have less than an hour to turn this in!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!