A simple random sample of size n=36 is obtained from a population that is skewed right with µ=87 and σ=24. (a) describe the sampling distribution of x.

Answers

Answer 1

From central limit theorem, in a sample

a) the sampling distribution of x is normal distribution.

b) The value of P(x>91.3) is equals to the 0.093418.

From the central limit theorem, when the samples of a population are considered then these generate a normal distribution of their own. The sample size must be equal to or higher than 30 in order for the central limit theorem to be true. We have a simple random sample obtained from population with the Sample size, n = 36

Population is skewed right with population mean, µ= 87

Standard deviations, σ = 24

We have to determine the sampling distribution of x.

a) As we see sample size, n = 36 > 30, so the sampling distribution is normal distribution.

b) Using the test statistic value for normal distribution, [tex]z= \frac{ x - \mu }{\frac{\sigma}{\sqrt{n}}} [/tex]. Here, x = 91.3, µ= 87, σ = 24, n = 36. Now, the probability value is, P(x>91.3)

= [tex]P( \frac{ x - \mu }{\frac{\sigma}{\sqrt{n}}} < \frac{ 91.3 - 87 }{\frac{24}{\sqrt{36}}}) [/tex]

= [tex]P(z < \frac{ 4.3}{\frac{24}{6}} )[/tex]

= [tex]P(z < \frac{ 4.3}{4} )[/tex]

= [tex]P(z < 1.32)[/tex]

Using the p-value calculator, the value P(z < 1.32) is equals to the 0.093418. So, P( x < 91.3 ) = 0.093418. Hence, required value is 0.093418.

For more information about central limit theorem,

https://brainly.com/question/13652429

#SPJ4

Complete question:

A simple random sample of size n=36 is obtained from a population that is skewed right with µ=87 and σ=24.

(a) describe the sampling distribution of x.

b) What is P(x>91.3)?


Related Questions

The ratio of butter:flour:sugar in a recipe is 1:9:6. When using 8 cups of sugar in this recipe, how many total cups of ingredients will be used

Answers

Answer:

21 and a third cups bxisjsbdn

Which piece of additional information can be used to prove triangle cea triangle cdb

Answers

Answer:

well I don't get the question

Question 6 of 25
A high school teacher grades a math test. She wants to see the numerical
grade of each student. Which item should she use so she can quickly see
how many students got each score?
A. None of these
B. Frequency table
OC. Line plot
OD. Pie chart

Answers

The answer to this question is B

What is the result of taking the difference between sample means, minus the null hypothesized difference, divided by the standard error of the difference between means?

Answers

The result of taking the difference between sample means, minus the null hypothesized difference, divided by the standard error of the difference between means is the t-statistic.

What is a t-statistic?

When deciding whether to accept or reject the null hypothesis in a T test, the t-statistic is used. It functions similarly to a Z-score in that you choose a cutoff point, calculate your t score, and then compare the two. When you have a limited sample size or don't know the population standard deviation, you utilize the t-statistic.

On its own, the t-statistic doesn't actually reveal much. Similar to how the word "average" is meaningless on its own without any context.

Learn more about t-statistic here:

https://brainly.com/question/28000141

#SPJ4

You start driving west for 20 miles, turn left, and drive south for another 14 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile

Answers

by using these measurements and drawing out a triangle, you have two sides “a” and “b” and are trying to find “c”. using pythagorean theorem you can determine that “a^2 + b^2 = c^2”. plug in your distances (20 and 14) and you get 24.4 as your distance.

Answer:

24.4

Step-by-step explanation:

Which one of the following foods is the top source of protein chosen by Americans in the United States?

Answers

What are the options?

Answer:

The correct answer is beef

Step-by-step explanation:

I took the quiz and got it correct

Which of the following values is not a perfect square?
a.81
b.125
c.49
d.100

Answers

Answer: b. 125

Step-by-step explanation:

Find the square roots of each, and if the square root is a decimal, it is not a perfect square.

Square root of 81: 9

Square root of 49: 7

Square root of 100: 10

That leaves 125.

Correct ANSWER
C:49

Mrs. Anderson had twice as many chickens as ducks. she sold 272 chickens and 16 ducks. She then had half as many chickens as ducks. How many chickens does she have?

Answers

The number of chickens she had was 352

Applications of equations

From the question, we are to determine the number of chicken she has

Let c represent chicken

and d represent ducks

From the given information,

Mrs. Anderson had twice as many chickens as ducks

c = 2d ---------- (1)

She sold 272 chickens and 16 ducks and then had half as many chickens as ducks

(c-272) = 1/2(d -16) ---------- (2)

Put equation (1) into (2)

2d - 272 = 1/2(d - 16)

2(2d - 272) = d- 16

4d - 544 = d - 16

4d - d = 544 - 16

3d = 528

d = 528/3

d = 176

Substitute the value of d into equation (1)

c = 2d

c = 2(176)

c = 352

Hence, the number of chickens she had was 352

Learn more on Equations here: https://brainly.com/question/148035

#SPJ1

help pls im so confused
10(1^2*2^-2)

Answers

Answer:

2.5

(or 5/2 or 2 1/2)

Step-by-step explanation:

Remember PEMDAS

10 * (1^2 * 2^-2)

10 * (1 * 0.25)

10 * 0.25 =

2.5

can someone please help me

Answers

The answer is 280 degrees.

determine the slope of the line

Answers

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 6) ← 2 points on the line

m = [tex]\frac{6-0}{0-(-3)}[/tex] = [tex]\frac{6}{0+3}[/tex] = [tex]\frac{6}{3}[/tex] = 2

A school needs 4500 paperclips which are sold in boxes of 200 how many boxes must the school buy

Answers

Answer:

23 there will be 100 paperclips leftover

23 paper clips and it’ll be left with 100

Express in standard form : 4786.3460

Answers

Answer:round to nearest hundredth (4,786.3)

Step-by-step explanation:

hope this helps, if wrong im so sorry :(

Angle 0 intersects the unit circle at point (-0.9483, -0.3173). What is the value of tan(0)

Answers

The tangent in the unit circle is equal to 0.334.

How to calculate the value of the function tangent with the help of a unit circle

In trigonometry, unit circles are representations of a circle with radius 1 and centered at the origin of a Cartesian plane commonly use to estimate and understand angles and trigonometric functions related to them.

Angles are generated by line segments whose coordinates are of the form (x, y), where x is the position of the terminal point along the x-axis and y is the position of the terminal point along the y-axis.

In addition, the tangent of the angle generated in a unit angle is defined by the following equation:

tan θ = y / x     (1)

If we know that x = - 0.9483 and y = - 0.3173, then the tangent of the angle generated in the unit circle is:

tan θ = (- 0.3173)/(- 0.9483)

tan θ = 0.334

The tangent in the unit circle is equal to 0.334.

To learn more on trigonometric functions: https://brainly.com/question/23599274

#SPJ1

Find the missing side length in the image below.

Answers

Answer:

6 is the ?

Step-by-step explanation:

The domain of this function is {-12,-6,3,15}. Y=-2/3x+7
Complete the table based on the given domain

Answers

Considering the given function, the table is completed as follows:

x|y

-12|15

-6| 11

3|5

15|-3

Which is the function?

The function is defined by:

[tex]y = -\frac{2}{3}x + 7[/tex]

Hence, when x = -12:

[tex]y = -\frac{2}{3}(-12) + 7 = 15[/tex]

When x = -6:

[tex]y = -\frac{2}{3}(-6) + 7 = 11[/tex]

When x = 3:

[tex]y = -\frac{2}{3}(3) + 7 = 5[/tex]

When x = 15:

[tex]y = -\frac{2}{3}(15) + 7 = -3[/tex]

More can be learned about functions at https://brainly.com/question/25537936

#SPJ1

all numbers less than 7 and greater than 7

Answers

Step-by-step explanation:

123456 less then 7

unlimited greater then 7

The numbers from negative infinity to 7, excluding 7."are less than 7 and "all numbers from 7 to positive infinity, excluding 7" are more than 7.

The combination of positive, negative numbers including 0  are called as integers.

The numbers less than 7 are:

This set includes all real numbers that are strictly less than 7.

It can be denoted as (-∞, 7), which means "all numbers from negative infinity to 7, excluding 7."

The numbers greater than 7 are:

This set includes all real numbers that are strictly greater than 7. It can be denoted as (7, +∞), which means "all numbers from 7 to positive infinity, excluding 7."

Thus, there are infinite numbers which are less than 7 and more than 7.

Learn more about integers here:

https://brainly.com/question/28992018

#SPJ3

Use the graph to find the solution.

Given the graph of w(x), w(2) = ?

(the graph is below)

THE FIRST ANSWER WILL GET BRAINLIEST OR 5 STARS! PLEASE ANSWER QUICK :)

Answers

Answer:

W(2) = 5

Step-by-step explanation:

Because when you look at the graph, the y value is 5 when the x value is 2.

Answer:

w(2) = 5

Step-by-step explanation:

by using rise over run to find the slope easily, you get a slope of 4 and an equation of w(x) = 4x - 3, -3 being the y-intercept

to calculate w(2):

w(2) = 4(2) - 3

w(2) = 8 - 3

w(2) = 5

or you could just look at when y is 2 and see that the corresponding x value is 5 but i wanted to provide a longer explanation in case :)

On a normal distribution of iq test scores, the average score would be:

Answers

The average IQ test score would be 100.

What is a normal distribution?

A probability distribution that is symmetric about the mean or average is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the average value occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

Average IQ Score

A score of 100 is regarded as the average IQ on various tests. The majority of results (68%) are within one standard deviation of the mean (that is, between 85 and 115). This indicates that the average result is within plus or minus 15 points for almost 70% of test takers.

Learn more about average here:

https://brainly.com/question/2426692

#SPJ4

find the number set which satifies each of the problems If 20 is added to the number, the absolute value of the result is 6

Answers

Answer:

{-14,-26}

Step-by-step explanation:

lx+20l=6

So x+20 is either 6 or -6

x=6-20=-14

x=-6-20=-26

How to find the answers?​

Answers

The computation shows that the value of blue which is represented by x is 12.

How to calculate the value?

From the information given, it was stated that 30 people were in the kindergarten.

Green = 10

Red = 8

Blue (x) = 30 - (10 + 8)

= 30 - 18

= 12

Since the teacher want to paint the class with the most favorite color, the appropriate color to use will be blue.

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder yx and the planes zy and z0.

Answers

The volume of wedge is 4/15 by use of Triple integral.

According to the statement

we  have to find the volume of wedge which is bounded by the parabolic cylinder.

So, because of the given shape of z=√y

the plane y=0 is a boundary, in addition to the given x = 0, z = 0.

so we are in the first octant for all of this. and the further constraint is the plane x + y = 1

Triple integrals are 3 successive integrations, used to calculate a volume, or to integrate in a 4th dimension, over 3 other independent dimensions.

but as a triple integral you would write:

∫x=0 ∫y=0∫z=0 dz dy dx

And after put the values in it and solving it we get the

[−4/15(1−x)^5/2] at x=0

Then after that the answer will become 4/15.

So, The volume of wedge is 4/15 by use of Triple integral.

Learn more about Integral here https://brainly.com/question/12231722

#SPJ4

The polygon circumscribes the circle. Which of the following is the perimeter of the polygon?
A. 39 cm
B. 56 cm
C. 61 cm
D. 78 cm

Answers

The perimeter of the polygon that circumscribes the circle is 78 cm

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle tangent theorem states that tangents which meet at the same point are equal in length. Hence:

The missing lengths are 8, 6, 9 and 16.

Perimeter of the polygon = 2(8) + 2(6) + 2(9) + 2(16) = 78 cm

The perimeter of the polygon that circumscribes the circle is 78 cm

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

An angle measures 8.8° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Based on the definition of complementary angles, the two angles are: 49.4° and 40.6°.

What are Complementary Angles?

Angles that are complementary angles have a sum of 90 degrees.

Let the angle be represented as x

Complement of the angle = (90 - x)

Therefore, we would have:

x = (90 - x) + 8.8

x = 90 - x + 8.8

x = 98.8 - x

x + x = 98.8

2x = 98.8

x = 98.8/2

x = 49.4°

The second angle would be: 90 - 49.4 = 40.6°

The angles are 49.4° and 40.6°.

Learn more about complementary angles on:

https://brainly.com/question/16281260

#SPJ1

13. If 3x = xy - 5 and y = 6, what is the value of x? (A) (C) / (B) 3) - 5 (D) slas1 5 اقعا our win​

Answers

Answer:

x = 5/3

Step-by-step explanation:

3x = xy - 55

3x = x*6 - 5

3x = 6x - 5

3x = 5

x = 5/3

Select the correct answer. A linear function graph of the x-axis and y-axis has a diagonal line that passes the x-axis at (minus 0.5, 0), and the y-axis at (0, 1) In the function above, the slope will be multiplied by , and the y-value of the y-intercept will be increased by 3 units. Which of the following graphs best represents the new function?

Answers

Answer: Graph Y

Step-by-step explanation:

please solve this it an urgent maths question

Answers

The given magic numbers are placed in the appropriate squares, so that the sum in each row, column and diagonal is all equal as shown below.

How to place the numbers in a magic square?

First of all, we would rewrite all the rational numbers in their lowest forms:

32/38 = 16/1918/38 = 9/194/38 = 2/19-14/-38 = -7/-1924/38 = 12/19104/52 = 2/170/95 = 14/1925/95 = 5/1922/38 = 11/19-16/-38 = -8/-1960/114 = 10/19-18/-57 = -6/-19-21/-133 = -3/-1945/57 = 15/19

Next, we would write the sum of the numbers in each row as follows:

First row: 16/19 + 9/19 + 2/19 + (-7/-19) = 34/19

Second row: (-6/-19) + (-3/-19) + 12/19 + 2/1 = 34/19

Third row: 11/19 + 14/19 + 5/19 + (-4/-19) = 34/19

Fourth row: 1/19 + (-8/-19) + 15/19 + 10/19 = 34/19

Read more on rational numbers here: https://brainly.com/question/1949413

#SPJ1

Select the correct equation.
The focus and directrix of a parabola are shown. What is the equation of the parabola?

Answers

Check the picture below, so the parabola looks more or less like that one, with a "p" distance of 2 units that is positive, whilst the vertex, which is always half-way between the focus point and the directrix is where you see it there, thus

[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=-1\\ k=2\\ p=2 \end{cases}\implies 4(2)( ~~ x-(-1) ~~ )~~ = ~~(y-2)^2\implies 8(x+1)=(y-2)^2 \\\\\\ x+1=\cfrac{1}{8}(y-2)^2\implies \boxed{x=\cfrac{1}{8}(y-2)^2-1}[/tex]

Answer: UR WELCOME

Step-by-step explanation: ANSWER ON EDMENTUM

PLEASE HELP 80 POINTS!!!!!

Answers

Answer: reflection across x axis and y axis?

Step-by-step explanation: repost question with the possible answers!

Matt's family traveled 3/8 of the distance to his grandmother’s house on Saturday. They traveled 3/5 of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?

Answers

Answer:

3/8

Step-by-step explanation:

Let's use a sample number of 100 miles

If 3/8 was traveled the first day, then 37.5m were traveled on the first day.

Now on Sunday, there are 62.5m remaining in the trip. They travel 3/5 of that, meaning they went 62.5 * 3/5m. This turns out to be 37.5 miles that were traveled on Sunday.

37.5/100 = 3.8

Other Questions
given the prevailing wind direction indicated by the arrow, where would you expect temperatures to be warmest and the humidity lowest? [50 points] give an efficient algorithm that takes strings s, x, and y and decides if s is an interweaving of x and y. derive the computational complexity of your algorithm. why did gerald ford's approval rating plummet shortly after he took office? mario thinks that computer programmers are dull. when he meets mandy, a computer programmer who writes exciting short stories, he will likely create a subtype that a portfolio consists of 175 shares of stock c that sells for $37 and 140 shares of stock d that sells for $43. what is the portfolio weight of stock c? phosphorous and nitrogen analysis of the bacteriophage show that 51.2y weight of the phage is dna. calculate the molecular weight of t7 dna. each bacteriophage contains one dna molecule. suppose there is an increase in the saving rate. this increase in the saving rate must cause an increase in consumption per capita in the long run when. True or false Show that the product of the sample observations is a sufficient statistic for > 0 if the random sample is taken from a gamma distribution with parameters = and = 6. what is the most important point to recall when using authentic evaluation procedures? What is the probability of rolling less than 2 on a number cube? Identify each sequence as arithmetic, geometric, both, or neither. 7,9, 11, 13,. Calculate the moles of NH3 produced when 0. 75moles of N2 reacts what is the one type of rsum that all job seekers should have in today's market? group of answer choices a print-based traditional rsum an infographic rsum a video rsum a plain-text rsum 2. What is the product of -2x3 + x - 5 and x3 - 3x - 4?(a) Show your work(b) Is the product of -2x3 + x - 5 and x3 - 3x 4 equal to the product of x3 - 3x - 4 and-2x3 + x-5? Explain your answer an aqueous solution contains 0.469 m ethylamine (c2h5nh2). how many ml of 0.266 m hydrochloric acid would have to be added to 225 ml of this solution in order to prepare a buffer with a ph of 10.500? the nurse is performing an assessment of a patients ears. when looking at the tympanic membrane, the nurse observes a healthy membrane. what should the appearance be? a few years ago, your client hired a salesforce engineer to customize their org. as a result, they rely on complex automation to format their data. which sync rule should they use if they want to use the salesforce integration? TRUE OR FALSE life companies are more heavily invested in corporate bonds and less in municipal bonds than p&c companies because some of their (life) interest income is not taxed. Write a program that reads words from the attached text file and displays all the words in alphabetical order. duplicates are allowed. points eBook Hint Print References Check my work Check My Work button is now enabledItem 4 Item 4 3 points Exercise 2-10 Preparing a trial balance LO P2 The transactions of Spade Company appear below. Kacy Spade, owner, invested $100,750 cash in the company in exchange for common stock. The company purchased office supplies for $1,250 cash. The company purchased $10,050 of office equipment on credit. The company received $15,500 cash as fees for services provided to a customer. The company paid $10,050 cash to settle the payable for the office equipment purchased in transaction c. The company billed a customer $2,700 as fees for services provided. The company paid $1,225 cash for the monthly rent. The company collected $1,125 cash as partial payment for the account receivable created in transaction f. The company paid $10,000 cash in dividends to the owner (sole shareholder). Prepare the Trial Balance.