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
BARSIC [14]
3 years ago
6

If the quality of individual boards varies according to a normal distribution with mean µ = 100 and standard deviation σ = 4 , w

hat will be the distribution of the sample averages? (Recall the sample size is n = 5.)
Mathematics
2 answers:
WITCHER [35]3 years ago
4 0

Answer:

The distribution of sample averages will have a normal distribution withe mean = 100 and a stamdard deviation of 1.789.

Step-by-step explanation:

According to the central limit theorem, the mean of the distribution of sample means is equal to the population mean.

μₓ = μ = 100

The theorem goes further to explain that if samples of finite size are obtained from the population, the distribution of sample means will approximate the distribution of the population. Since the population is known to have data that is distributed normally, the distribution of sample means will have a normal distribution too.

The standard deviation of the distribution of sample means is given as the standard error of the mean,

σₓ = (σ/√n)

where σ = population standard deviation = 4

n = sample size = 5

σₓ = (4/√5) = 1.789

Hope this Helps!!!

Kay [80]3 years ago
3 0

Answer:

<em>The answer is, with a  mean 100 and a standard deviation of 4/ root 5. </em>

Step-by-step explanation:

<em>From the given question, let us recall the following,</em>

<em>Normal distribution with µ = 100</em>

<em>The standard deviation σ =4</em>

<em>the sample size n =5</em>

<em>Therefore,</em>

<em>The distribution of x will be normal with the mean 100 and a standard deviation of 4/ root 5,  </em>

<em>Which is denoted as,</em>

<em>Mean 100 = 4√5</em>

You might be interested in
A bag contains 42 red marbles, 6 white marbles, and 8 gray marbles. You randomly pick out a marble, record its color, and put it
Elanso [62]
For any single draw,

\mathbb P(\text{white})=\dfrac6{42+6+8}=\dfrac6{56}
\mathbb P(\text{gray})=\dfrac8{42+6+8}=\dfrac8{56}

Drawing a white marble or a gray marble are disjoint events; only one of them can happen. So

\mathbb P(\text{white or gray})=\mathbb P(\text{white})+\mathbb P(\text{gray})-\underbrace{\mathbb P(\text{white and gray})}_0
\mathbb P(\text{white or gray})=\dfrac6{56}+\dfrac8{56}=\dfrac{14}{56}

Out of 224 draws, you should expect \dfrac{14}{56}\times224=56 of the marbles to be either white or gray.
6 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP IT IS VERY MUCH APPRECIATED
irakobra [83]
YOUR CORRECT good luckkk
5 0
2 years ago
Read 2 more answers
How old do you got to be to drop out
bazaltina [42]

Answer:

Step-by-step explanation:

high school with pariantal consent

6 0
3 years ago
L || m
Alona [7]

Answer:

c. m∠1 + m∠6 = m∠4 + m∠6

Step-by-step explanation:

Given: The lines l and m are parallel lines.

The parallel lines cut two transverse lines. Here we can use the properties of transverse and find the incorrect statements.

a.  m∠1 + m∠2 = m∠3 + m∠4

Here m∠1 and m∠2 are supplementary angles add upto 180 degrees.

m∠3 and  m∠4 are supplementary angles add upto 180 degrees.

Therefore, the statement is true.

b. m∠1 + m∠5 = m∠3 + m∠4

m∠1 + m∠5 = 180 same side of the adjacent angles.

m∠3 + m∠4 = 180, supplementary angles add upto 180 degrees.

Therefore, the statement is true.

Now let's check c.

m∠1 + m∠6 = m∠4 + m∠6

We can cancel out m∠6, we get

m∠1 = m∠4 which  is not true

Now let's check d.

m∠3 + m∠4 = m∠7 + m∠4

We can cancel out m∠4, we get

m∠3 = m∠7, alternative interior angles are equal.

It is true.

Therefore, answer is c. m∠1 + m∠6 = m∠4 + m∠6

3 0
3 years ago
Two riders, A and B leave the starting line at the same time. A takes 12 minutes to complete one lap and the B takes 18 minutes.
irina [24]
6 minutes after i believ3e ?

3 0
3 years ago
Other questions:
  • Holly wants to add an odd number to 659. Which number could possibly be the sum? Choose all answers that are correct. A. 677 B.
    12·1 answer
  • How can I reduce 60/1000 into simplest form?
    6·2 answers
  • Brandon buys a radio for $46.49 in a state where the sales tax is 7%.
    14·1 answer
  • Rearrange the formula to solve for m<br> A= m (s+2)/t
    13·2 answers
  • A robot filled 105 medicine bottles in 3 minutes. it filled them at a constant rate. what was the rate per minute at wich the ro
    5·1 answer
  • Can you please explain how to answer this in a simple way and add a answer?
    14·1 answer
  • 3. Leeland can eat 1 hotdog in 20 minutes. What is his unit rate in hotdogs
    10·1 answer
  • Can you please help me with this?​ 50pts if it's correct.
    15·2 answers
  • (01.06 LC)<br> Expand and simplify: (2x + 5y) (x - 3y) (5 points)
    15·1 answer
  • What are the new coordinates of the figure above if it is rotated 90 degrees clockwise about the origin ?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!