Courtney would like to estimate the net worth of all people in the US. The distribution of net worth of people in the
US is strongly skewed to the right. Courtney selects an SRS of size n = 15 from this population and calculates the
sample mean. What is the shape of the distribution of the sample mean for all possible simple random samples of
size 15 from this population?

Answers

Answer 1

The distribution of the sample mean for all possible simple random samples of size 15 from the population of net worth in the US will be approximately normal, with a mean of μ and a standard deviation of σ/√15.

Courtney's estimate of the net worth of all people in the US is strongly skewed to the right. This means that the majority of the population has a net worth that is lower than the average net worth. When Courtney selects an SRS of size n = 15 from this population and calculates the sample mean, the shape of the distribution of the sample mean for all possible simple random samples of size 15 from this population will be approximately normal.

The Central Limit Theorem states that if a population has a mean of μ and a standard deviation of σ, then the sampling distribution of the sample mean will be approximately normal, no matter what the shape of the population distribution is, as long as the sample size is large enough. Since Courtney's sample size of 15 is large enough, the sampling distribution of the sample mean will be approximately normal.

The sample mean will have a mean of μ, which is the population mean, and a standard deviation of σ/√n, where n is the sample size. Since Courtney's sample size is 15, the standard deviation of the sample mean will be σ/√15. This means that the sample mean will be normally distributed with a mean of μ and a standard deviation of σ/√15.

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Related Questions

Suppose that a random sample of ​twenty-year-old men is selected from a population and that these​ men's height and weight are recorded. A regression of weight on height yields ​, where Weight is measured in pounds and Height is measured in inches. What is the​ regressions weight prediction for someone who is inches​ tall

Answers

Answer:

Hello your question is incomplete attached below is the complete question

answer : 192.15 pounds

Step-by-step explanation:

Given :

weight =  - 99.41 + 3.94*Height

R^2 = 0.81

SER = 10.2

Determine the regression weight prediction

Height of man = 74 inches

Hence : weight = - 99.41 + 3.94 * 74 = 192.15

therefore the regression weight prediction = 192.15 pounds

Given the frequency table what percentage of the students in grade 11-12 like rock music round to the nearest whole percent

Rap rock country row total
Grades 9-10. 40. 30. 55. 125
Grades 11-12. 60. 25. 35. 120
Column totals. 100. 55. 90. 245

A 10%
B. 21%
C. 25%
D 45%

Answers

9514 1404 393

Answer:

  B.  21%

Step-by-step explanation:

The number of students in grade 11-12 is given in the total column: 120.

The number of those who like rock music is given in the second column: 25.

Then the percentage in 11-12 grade who like rock music is ...

  25/120 × 100% ≈ 20.833% ≈ 21%

Can Someone Help Me. ?

Answers

Answer: 2/4

Step-by-step explanation:

answer is 2/4

rise/run

the answer is report you welcome

Answers

Answer:

report

Step-by-step explanation:

Answer:

Step-by-step explanation:

Report???? What

Write the equation of the line in fully simplified slope-intercept form.

Answers

ANSWER: y=4/3x-7

Reasoning: slope is 4/3 (change in y over change in x)
The y intercept is a -7
Then you just fill in the equation

Find the polar coordinates of the point. Then, express the angle in degrees and again in radians, using the smallest possible positive angle.
(2√3,-2)
The polar coordinates of the point are

Answers

Answer:

(4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)

Step-by-step explanation:

Given the rectangular coordinate

(2√3,-2)

x = 2√3

y = 2

For polar coordinate;

x =r cos theta

y = rsin theta

r = √x²+y²

r = √(2√3)²+(-2)²

r = √4(3) + 4

r = √12+4

r = 4

theta = arctan(y/x)

theta = arctan(-2/2√3)

theta = arctan(-1/√3)

theta = -30

theta = 180 - 30

theta = 150degrees

x = 4cos 150

y = 4sin150

The polar coordinate is (4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)

The polar coordinates of the point are

Solve for f(-3)

f(x)=5-x

f(-3)= ?
pls helpppp

Answers

f(-3) = 8

Plug -3 into x and just solve it.

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425kWh of electricity last year. Assuming that the population standard deviation is 3217kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance

Answers

Answer:

The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.

Step-by-step explanation:

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year.

This means that the null hypothesis is:

[tex]H_0: \mu = 10941[/tex]

A local power company believes that residents in their area use more electricity on average than EIA's reported average.

This means that the alternate hypothesis is:

[tex]H_a: \mu > 10941[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

10941 is tested at the null hypothesis:

This means that [tex]\mu = 10941[/tex]

To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425kWh of electricity last year. The population standard deviation is of 3217kWh:

This means that [tex]n = 115, X = 11425, \sigma = 3217[/tex]

Value of the z-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{11425 - 10941}{\frac{3217}{\sqrt{115}}}[/tex]

[tex]z = 1.61[/tex]

Pvalue of the test:

Probability of finding a mean above 11425, which is 1 subtracted by the pvalue of z = 1.61.

Looking at the z-table, z = 1.61 has a pvalue of 0.9463.

1 - 0.9463 = 0.0537

The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.

Emily wants to find out if the carpool line around her school causes too much traffic on neighborhood roads. Which is a valid sample for her survey?

Answers

Answer:

25 families living near the school

Step-by-step explanation:

Answer:

25 families living near the school :D

Step-by-step explanation:

Find the surface area of a cylinder with a height of 11 feet in a base radius of 3 feet

Answers

Answer:

the answer is about 263.89 feet

how did snidely spellbinder write a four latter word that begins and ends with e answers

Answers

Answer:

He wrote the word "ease"

What is 77 divided by 10

Answers

Answer:

7.7

Step-by-step explanation:

Answer:

77 divide by 10 answer is 7.7

A group consisting of 126 students and 7 chaperones is going on a field trip. Which of the following groups does not have the same ratio of students to chaperones?

Answers

Answer:

c

Step-by-step explanation:

Here are the options

A 36 students and 2 chaperones B. 54 students and 3 chaperones O C 90 students and 4 chaperones D 108 students and 6 chaperones

We have to simply the ratio of students to chaperones to its lowest form .

126 : 7 = dividing number of students and chaperones by 7 gives :  18:1

36 : 2 = dividing number of students and chaperones by 2 gives : 18:1

54 : 3 = dividing number of students and chaperones by 3 gives : 18:1

90 : 4 = dividing number of students and chaperones by 4 gives : 22.5 : 1

108 : 6 = dividing number of students and chaperones by 6 gives : 18:1

It can be seen that it is only 90:4 that does not have the same ratio as that given in the question

PLEASE HELP !!!!!
An angle measures 52° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

64° and 116°

Step-by-step explanation:

2x + 52° = 180°

2x = 128°

x = 64°

Suppose that shoe sizes of American women have a bell shaped distribution with a mean of and a standard deviation of Using the empirical rule what percentage of American women have shoe sizes that are at least 6,887 Please do not round your answer .

Answers

Answer:

i dont know

Step-by-step explanation:

Please help me my head hurt

Answers

The answer would be A because it’s the kilometers times the amount of days to equal 30

Answer:

my head hurts also

Step-by-step explanation:

The owner of Chips etc. produces two kinds of chips: lime (L) and vinegar (V). He has a limited amount of the three ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce; while a bag of vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of lime chips are $0.40, and for a bag of vinegar chips $0.50.

Answers

Is there a question to answer?

Michael bought three baseballs from a sports store. Each baseball cost the same amount. The total cost was $8.37. If C represents the cost of each baseball, which of the following statements are true?

Select all that apply

The value of c can be found using the formula 30+837

The value of c can be found using the formula C/8.37 = 3

Each baseball cost $25.11

Each boseball cost $279

Answers

The value of c can be found using the formula 3c = 8.37
The value of c can be found using the formula c/8.37=3
Each baseball cost $2.79

Answer:Each baseball cost $2.79.Each baseball cost $25.11.The value of c can be found using the formula  .The value of c can be foun

Step-by-step explanation:

Find the zeros of the function: p(x)=(x−1)(x^2−2x−2).

Answers

Answer:

x = 6, x = -4

Step-by-step explanation:


PLEASEEE HELP I WILL GIVE YOU BRAINIEST!!!!!

Answers

it’s B because the equations is something greater than -1

Additional Activities
BRAIN-COMPATIBLE
Activity 3
Directions: Determine the variable and constant in the given algebraic expression and
equation. Write your answer in your notebook.
Algebraic Expression and Equation
Variable
Constant
1) three more than y
2) p multiplied by 7
3) the quotient of x and four
4) sixteen subtracted from ten times k
5) twice the difference between twenty and
9
6) six times p decreased by twelve
7) twenty taken from eight-timesh
8) four times the sum of five and x
9) f multiplied by fifteen
10) twice d added to forty​

Answers

Answer:

1. C: three | V: y

2. C: 7 | V: p

3. C: four | V: x

4. C: sixteen, ten | V: k

5. C: two, twenty | V: g (I believe that's a "g" and not a "9" due to OCR scanning! and even logically that should be a letter to represent the variable so that the expression is correct)

6. C: six, twelve | V: p

7. C: twenty, eight | V: h

8. C: four, five | V: x

9. C: fifteen | V: f

10. C: two, forty | V: d

A large factory that builds machines has three shifts, one that starts at 4:00 A.M., one that starts at noon, and one that starts at 8:00 P.M. The manager of the factory wanted to know whether there is an association between an employee’s work experience (less than five years with the company, between five and twenty years with the company, over twenty years with the company) and the time of the employee’s shift. The manager selected a random sample of 125 employees and classified employees by their shift time and work experience. Which of the following is an appropriate pair of hypotheses for the manager to use?
A. H0 : Work experience is independent of the time of an employee's shift.
Ha, : Work experience is dependent on the time of an employee's shift.
B. H0 : Employees with over 20 years of experience are just as likely to start work
at 8PM
Ha : Employees with over 20 years of experience are less likely to start work
at 8 P.M.
C. H0 : There is an association between work experience and an employee's shift.
Ha : There is no association between work experience and an employee's shift.
D. H0 : For each shift, there is no difference between the proportions of work
experience level
Ha : For each shift, there is a difference between the proportions of work
experience level.
E. Ha : Among those in the sample, the proportion of employees for each work
experience level did not differ by shift.
Ha : Among those in the sample, the proportion of employees for each work
experience level did differ by shift.

Answers

Answer:

An appropriate pair of hypotheses for the manager to use is:

C.

H0 : There is an association between work experience and an employee's shift.

Ha : There is no association between work experience and an employee's shift.

Step-by-step explanation:

These research hypotheses compare the incidence of employee's work experience and the baseline group (the employee's shift).  

These hypotheses tests are statistical tools which assess whether or not there is an association between the two variables (work experience and shift).  

The null hypothesis test will provide the probability of the type 1 error (p-value).  

Based on the result, the research will accept or reject the null study hypothesis.

Answer:

A) H0 :  Work experience is independent of the time of an employee’s shift.

Ha :  Work experience is dependent on the time of an employee’s shift.

Step-by-step explanation:

A chi-square test of independence is appropriate. The null hypothesis expresses that there is not an association between two categorical variables (work experience and time of shift) and the alternative hypothesis expresses that the categorical variables are associated.

Easy math help ,,,,,,The set of ordered pairs shown below represents a linear function. What is one other pair of coordinates that could be the missing ordered pair (x, y) in this set? Show or explain how you determined your answer.
(-4,-2),(0,-1),(4,0),(x,y)

Answers

Answer:

(8, 1)

Step-by-step explanation:

The mx for this set of coordinates is 4x so the next point in this set would be (8, 1)

Answer: (8,1)

Explanation:

Find the area of the trapezoid.
22.2 cm
9.86 cm
8.52 cm
[? ]cm2
Enter the exact answer. Do not round

Answers

Answer:

151.4496

Step-by-step explanation:

it has not been rounded or anything that is the exact answer

Answer: 151.45 (151.4496)

Step-by-step explanation:

Formula: A = (a+b)/2 * h

Base = 22.2

Base = 8.52

Height = 9.86

Do the following:

(22.2+8.52)/2 * 9.86 = 151.4496

please help, thank you (brainly if ur right)

Answers

Answer:

SAS ~

Step-by-step explanation:

Rewrite 2/5 and 4/11 so that they have a common denominator

Answers

Answer:

22/55 and 20/55

Step-by-step explanation:

multiply 2 and 5 by 11 to get 22/55, and multiply 4 and 11 by 5 to get 20/55

Only one question pls help

Answers

Cos x = 5 / 9 ==》 Cos x = 0.55

==》 x = 56 degrees

factoring review 2 terms 1-8

Answers

Answer:

ok

Step-by-step explanation:

whats the question?

If Quamie purchased 5 pencils for 20¢, how much will 20 pencils cost?

Answers

Answer:

80 cents

Step-by-step explanation:

Answer:

80 cents

Step-by-step explanation:

if you multiply 5 by 20 cents, you will get 100, now, if you know where I'm going, every time she buys 5 pencils she pays 20 cents, so if she buys 20 pencils, it will cost her 80 cents, Hope this helped! mark me brainiest if you can!

a triathlon event in which participants run,bike, and swim certain distances is mapped out in a triangle as shown below.

Answers

Answer:

A

Step-by-step explanation:

The statement 'the bike distance is greater than the run distance.' must be true.

The correct answer is option D.

What is distance?

"It is the length of the line joining the two points."

Angle properties:

In any triangle,

the smallest side and smallest angle are opposite one another. the mid-sized side and mid-sized angle are opposite one another.the largest side and largest angle are opposite one another.

For given example,

We have given two angles of triangle.

65° and 57°

We know, the sum of all angles of triangle is 180°.

Let 'x' be the remaining angle.

⇒ x + 65° + 57 = 180°

⇒ x +122° = 180°

⇒ x = 58°

We know,

In any triangle,

- the smallest side and smallest angle are opposite one another.

- the mid-sized side and mid-sized angle are opposite one another.

- the largest side and largest angle are opposite one another.

Here,

57° < 58° < 65°

⇒ Run < Bike < Swim

This means, the statement 'the bike distance is greater than the run distance.' is correct.

The correct answer is option D.

Learn more about angle here:

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