A state forest service is conducting a study of the people who use state-operated camping facilities. The state has two camping areas, one located in the mountains and one located along the coast. The forest service wishes to estimate the average number of people per campsite during a popular weekend when all sites are expected to be used. There are 50 campsites in the mountains and 100 along the coast. From experience, the forest service knows that most sites in the mountains contain from 1-6 people and most sites along the coast contain from 1-10 people. Suppose the forest service can afford to conduct 20 interviews (e.g. they can select 20 campsites) (because they are asking many other questions in addition to number of people using the campsite and they want to do the interviews in person).
Using Neyman allocation, how would you suggest they allocate the 20 interviews among these 2 strata to minimize the standard error of the estimate of the overall average number of people per campsite?

Answers

Answer 1

Answer:

Allocation: 4 samples should be from the mountain and 16 from along the coast.

Step-by-step explanation:

Neyman allocation is technique of sample allocation used in cases of stratified sampling.

The formula to compute the best sample size of each stratum is:

[tex]n_{h}=n\times \frac{(N_{h}\times SD_{h})}{\sum\limits^{k}_{i=1}(N_{i}\times SD_{i})}[/tex]

The information provided is:

[tex]N_{m}=50\\N_{c}=100\\n=20\\[/tex]

Compute the range for the number of people at the mountain campsite as follows:

[tex]R_{m}=6-1=5[/tex]

Then the standard deviation for the number of people at the mountain campsite will be:

[tex]SD_{m}=\frac{R_{m}}{4}=\frac{5}{4}[/tex]

Compute the range for the number of people along the coast campsite as follows:

[tex]R_{c}=10-1=9[/tex]

Then the standard deviation for the number of people along the coast campsite will be:

[tex]SD_{c}=\frac{R_{c}}{4}=\frac{9}{4}[/tex]

Compute the sample size for the mountain campsite as follows:

[tex]n_{m}=n\times \frac{(N_{m}\times SD_{m})}{(N_{m}\times SD_{m})+(N_{c}\times SD_{c})}[/tex]

    [tex]=20\times \frac{(50\times (5/4))}{(50\times (5/4))+(100\times (9/4))}\\\\=20\times 0.2174\\\\=4.348\\\\\approx 4[/tex]

Compute the sample size for along the coast campsite as follows:

[tex]n_{c}=n-n_{m}=20-4=16[/tex]

Thus, 4 samples should be from the mountain and 16 from along the coast.


Related Questions

Which power does this expression simplify to?
[(7^5)(7^3)]^-4

Answers

Answer:

1/7^32

Step-by-step explanation:

when multiplying two bases with different exponents, you keep the base and add the exponents, making the first step of this (7^5)(7^3)=7^8

but when you multiply a base and exponent by just an exponent, you keep the base and multiply the exponents, making the second step 7^8(^-4)=7^-32

you cannot have a negative exponent, and would therefore turn it into a fraction with the base and exponent at the bottom, making your final answer 1/7^32

Brian bought a fish tank that is 22 in. long, 12 in. wide, and 16 in. tall. Which is the volume of the fish tank?

Answers

Answer: 4224 feet cubed

Step-by-step explanation:

Volume for a rectangular tank =LxWxH

22x12x16=4,224

Answer:

4224in^3

Step-by-step explanation:

The formula for volume is height x length x width ( x means multiply)

so to find the volume of the fish tank you multiply each of the sides by each other, 12x16x22. So the volume of the fishtank is 4224 inches cubed(^3) make sure you write the cubed and units at the end, just like how for area you always make it squared.

The difference between the areas of the figures is less than 6.

Answers

Answer:

|24 - (2x - 6)| < 6

x > 12 or x < 18 (12 < x < 18)

Step-by-step explanation:

Area of the triangle = ½*base*height = ½*8*6 = 4*6 = 24 unit²

Area of rectangle = length * width = (x - 3) * 2 = (2x - 6) unit²

Difference in their areas is given as less than 6. This can be represented as an absolute value of inequality as shown below:

|24 - (2x - 6)| < 6

Solve to find the solution of the inequality by splitting into two as follows:

24 - (2x - 6) < 6 OR 24 - (2x - 6) > -6

Solve for each

24 - 2x + 6 < 6

30 - 2x < 6

Subtract 30 from both sides

-2x < 6 - 30

-2x < -24

Divide both sides by -2. < will change to >, since we are dividing by a negative number.

x > 12

Or

24 - (2x - 6) > -6

24 - 2x + 6 > -6

30 - 2x > -6

Subtract 30 from both sides

-2x > -6 - 30

-2x > -36

Divide both sides by -2

x < 18

The solution of the inequality is x > 12 or x < 18

Or can be written as: 12 < x < 18

The Lovin lemon company sells a 4 gallon jug of lemonade for $24 dollars. The sweet and Sour company sells an eight pack of 1 quart bottles of lemonade for $16 dollars, which company has a higher unit price?

Answers

Answer:

lovin lemon co. sells 1 gallon for 24/4 = $6

sweet & sour co. sells 8 qt = 2 gallons for 16/2 = $8

Complete the expression so it forms a perfect-square trinomial.

x² +
x + 49

Answers

Answer:

Step-by-step explanation:

How to add a great answer

ADD YOUR ANSWER

Question

Complete the expression so it forms a perfect-square trinomial.

x² +

x + 49

Answer:

The answer is 14

Step-by-step explanation:

on edge 2020.

Please ill give brainliest and all my points just help me

Answers

ANSWER:

Minivan

EXPLANATION:

To determine the unit rate, take the miles and divide by the gallons

Truck:

120 miles / 8 gallons = 15 miles per gallon

Minivan:

180 miles /10 gallons = 18 miles per gallon

The minivan travels more miles per gallon

ANSWER:

Adam

EXPLANATION:

To determine the unit rate, take the charge and divide by the acres

Joshua:

$40 / 2 acres = $20 per acre

Adam:

$30 / 1.2 acres = $25 per acre

Adam charges more per acre

ANSWER:

Ellen

EXPLANATION:

To determine the unit rate, take the seconds and divide by the meters.

Ellen:

28 seconds / 200 meters = .14 seconds per meter

Lindsay:

60 seconds / 400 meters = .15 seconds

Ellen runs faster than Lindsay

How do you multiply 12x12 step by step?

Answers

Answer:

144

Step-by-step explanation:

 

 12

X12

------

 

If you are writing this problem out by hand, be sure that your numbers are lined up, like above.  This will help you in making sure that you solve each step of your problem properly.

 

First, start with the 12.  Multiply 12 by the "2" in the one's place, in the second number:

 

 12

X  2

-----

 

Begin by multiplying 2 X 2 first, in the "ones" column.

 

Do you have 2X2=4?  Great!  Put the 4 in the ones column, where your answer would go.

 

Next, multiply 2 times the 1 digit.  The 1 is actually a 10, because it is in the "tens" column.

 

2 X10=20

 

Place your 2 in the "tens" column--It should look like this...

 

 12

X  2

-----

 24

 

Since you are finished with the "ones" place, now you will work with the tens column.

 

put a zero under the 4 in 24.

 

then continue like this

 

 12

X12

-----

 24

120      because 12 X10=120

------

144      If you add 24 +120, you should have 144.

 

If you have a slightly different way of doing this problem, that's OK.  The point is to get the correct answer.

 

If you have a times table, you can check yourself.

 12 X12=144

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The result of 12×12 is 144.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

To multiply 12×12 can be done as

       1   2

     × 1   2

    ______

1. Multiply 2 to 2, therefore, you will get the first term, thereafter, multiply 2 to 1.

       1   2

     × 1   2

    ______

       2   4

2. Next, leave the place below the first digit and start to multiply 1 to 2 and then to 1 to 1. Therefore,

       1   2

     × 1   2

    ______

       2   4

+ 1   2   0

3. Now add the term you will get the final result, therefore,

       1   2

     × 1   2

    ______

       2   4

+ 1   2   0

________

  1   4   4

Hence, the result of 12×12 is 144.

Learn more about Multiplication:

https://brainly.com/question/14059007

#SPJ2

What is the equation of the line that passes through the point (-7, -4) and has a
slope of 1?

Answers

Answer:

y = x + 3

Step-by-step explanation:

y = mx + b

-4 = -7 * 1 + b

-4 = -7 + b

3 = b

y = x + 3

Hope this helps!

Let me know if I'm wrong :)

The perimeter of a rectangle is less than 10 inches. The length is x and the width is x − 5. If the solution is x < 5, then the length is less than 5. Is this a viable solution?

Answers

Answer: it is a non viable solution

If the length is less than 5 then the width (x - 5) will be less than zero. A rectangle with no width does not exist so this solution is non-viable.

Answer:

non-viable

Step-by-step explanation:

PLEASE ANSWER NEED QUICK ILL GIVE BRAINLISET

Answers

Answer:

A) y = 3x -2 is the answer

Step-by-step explanation:

The y-intercept is -2

The slope is going up 3 and right 1 which is 3/1 and 3 divide by 1 is 3.

Hope this helps and pls do mark me brainliest:)

Four more than three times a number (x) is at least nineteen Inequality:​

Answers

Answer:

x >= 5

(x is greater and equal than 5)

Step-by-step explanation:

4+3x >= 19

3x >= 19-4

3x >= 15

x >= 5

You can see my other article just search in search engine with: Learningandassignments diy4pro

hope it helps

$100 for 10 hours Rick $80 for 9 hours Steve $75 for 8 hours Andy $60 for 5 hours Meg wants to take tennis lessons. In the chart, four instructors are listed with what they charge. Which instructor gives the best deal? A) Mark B) Rick C) Andy Eliminate D) Steve

Answers

Answer:

$80 for 9 hours

Step-by-step explanation:

whichever instructor it is that does it for $80 for 9 hours.

I can't tell which rates belong to which instructor and Mark's name isn't listed by any rates......

but the $80 for 9 hours is the best deal per hour

please help me with this Geo question

Answers

Answer:

x = 31

Step-by-step explanation:

4x + 38 = 2x + 10 + 90

2x = 62

x = 31

Which relation is a function please hurry it’s urgent Thank you

Answers

Answer:

d because no x has more than one y value

Tara bought 2 bottles of juice each day for 18 days. On the 19th day, Tara bought 7 bottles of juice.

Choose the expression that matches the description.

A (2 × 18) − 7
B (2 × 19) + 7
C (2 × 18) + 7

Answers

The answer is C . ( 2•18 ) + 7

The same amount of principal is invested in different accounts earning the same interest rate. Which of the following
accounts would have the greatest accumulated value at the end of one year?
a. An account earning no interest
b. An account earning simple interest
C. An account earning interest compounded annually
d. An account earning interest compounded daily
Please select the best answer from the choices provided
.
А A
OB
С
D

Answers

Answer:

d. An account earning interest compounded daily

Step-by-step explanation:

An account earning interest compounded daily will have the greatest accumulated value at the end of one year.

Compound interest provides a higher return on value compared to simple interest even much more so when it is done daily.

Compound interest is an interest accrued on the principal and subsequent interest on capital. Simple interest is simply interest on the capital alone. The time duration plays an important role. A principal compounded daily at a certain rate will yield more value at the end of a year than one compounded weekly, monthly, quarterly or annually.

Therefore, an account earning interest compounded daily will give a better return of value.

How many meters are equivalent to 2 miles?
Units of Length
O 1.242 meters
O 3.22 meters
Customary System
Units
Metric System Units
O 1,242 meters
O 3,220 meters
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers

Answers

Answer: D 3,220 meters

Step-by-step explanation:

I did it

Answer:

The correct answer is D, please give the person above me brainliest

Step-by-step explanation:

#edge2020

Your grandmother gave you ₱1000 to start a college book fund. She also promised to add another ₱200 each month, if you add ₱50 monthly. Which rule generates a sequence of the monthly amounts in your college book fund? answer​

Answers

Answer:

A= ₱1000 + t( ₱250) ------where t is the time in months

Step-by-step explanation:

The principal amount ,P, is given as : ₱1000----- P=₱1000 ------equation (i)

Additional amounts to be added by grandmother = ₱200 monthly

Amount expected to add monthly =  ₱50

Additional amounts in total added monthly = ₱200 + ₱50=₱250

Monthly amounts ,A, in the fund after the first month, t =1 month will be:

A=P + ₱250= ₱1000 + 1( ₱250) ------where t= 1, amount at end of month 1

A=P +₱250= ₱1000 + 2( ₱250)--------where t=2,  amount at end of month 2

A=P +₱250= ₱1000 + 3( ₱250)---------where t=3, amount at end of month 3

A=P +₱250= ₱1000 + 4( ₱250)--------where t=4, amount at end of month 4

From the breakdown above of 4 months, the general equation of monthly amounts will be;

A= ₱1000 + t( ₱250) ------where t is the time in months

A sequence of the monthly amounts in your college book fund is given by the equation (A = 1000 + 250t) and this can be determined by forming the linear equation with the help of the given data.

Given :

Your grandmother gave you ₱1000 to start a college book fund. She also promised to add another ₱200 each month, if you add ₱50 monthly.

The following steps can be used to determine a sequence of the monthly amounts in your college book fund:

Step 1 - Given that the principal amount is ₱1000 which is given by the grandmother.

Step 2 - Additional amount is given by grandmother is ₱200 and each month ₱50 is added. So, the total additional amount each month is:

= 200 + 50

= ₱250

Step 3 - Let 't' be the number of months. So, the linear equation becomes:

A = 1000 + 250(t)

where A is the total amount and t is the time in months.

A sequence of the monthly amounts in your college book fund is given by the equation (A = 1000 + 250t)

For more information, refer to the link given below:

https://brainly.com/question/21835898

Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $109.55. Assume the amounts are normally distributed with standard deviation $21.00. Use the TI-84 Plus calculator to answer the following. (a) What proportion of bills are greater than $135? (b) What proportion of bills are between $84 and $143? (c) What is the probability that a randomly selected household had a monthly bill less than $119? Round the answers to at least four decimal places.

Answers

Answer:

a) 0.11277

b) 0.83253

c) 0.67364

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

Mean = $109.55.

Standard deviation = $21.00.

a) What proportion of bills are greater than $135?

z = (x-μ)/σ

z = 135 - 109.55/21

= 1.2119

Probability value from Z-Table:

P(x<135) = 0.88723

P(x>135) = 1 - P(x<135) = 0.11277

The proportion of bills are greater than $135 = 0.11277

(b) What proportion of bills are between $84 and $143?

For x = $84

z = (x-μ)/σ

z = 84 - 109.55/21

= -1.21667

Probability value from Z-Table:

P(x = 84) = 0.11187

For x = 143

z = (x-μ)/σ

z = 143 - 109.55/21

= 1.59286

Probability value from Z-Table:

P(x = 143) = 0.9444

The proportion of bills are between $84 and $143

= P(x = $143) - P(x = 84)

= 0.9444 - 0.11187

= 0.83253

(c) What is the probability that a randomly selected household had a monthly bill less than $119?

For x = $119

=119 - 109.55/ 21

= 0.45

Probability value from Z-Table:

P(x<119) = 0.67364

The probability that a randomly selected household had a monthly bill less than $119 is 0.67364

You start at(-5, -4) you move down 1 unit and up 1 unit where do you end?

Answers

Answer:

-5,-4

Step-by-step explanation:

-5,-4

down 1 unit: -5,-3

up 1 unit: -5,-4

Ling spent $23.96 on cooking fuel for an upcoming camping trip. If she bought 4 cans of fuel, how much did she pay for each can?

Answers

Answer:

The answer is $5.99

Step-by-step explanation:

$23.96 divided by 4 is $5.99

Answer:

The answer is $5.99

Step-by-step explanation:

I just did the quiz.

What is the equation in point-slope form of a line perpendicular to y= ⅕ x+8, through the point (-2, 3) *

Answers

Answer:

it was right but ok

Step-by-step explanation:

First find the total number

6+4+5+3 = 18

6th graders : total

4 : 18

Divide each side by 2

4/2:   18/2

2 : 9

What is the difference between -82°F and 93°F?​

Answers

Answer:

175°F

Step-by-step explanation:

The difference between -82 and 0 is 82.

The difference between 0 and 93 is 93.

Add these two numbers together to find the total difference:

82 + 93

= 175

So, the difference is 175°F

Answer:
175f
Explanation:

Choose the most appropriate name for the function described below.
The efficiency of a car depends on the weight of the car.

A. Weight(car), or W(c)
B. Efficiency(weight), or E(w)
C. Efficiency(car), or E(c)
D. Weight(efficiency), or W(e)

Answers

Answer: The answer is Weight(car), or W(c)

Step-by-step explanation: Hope this helps!!

Answer:

THE CORRECT ANSWER IS: EFFICIENCY(weight), or E(w)

Step-by-step explanation:

what is the minimum of y=lx^2-9l?

Answers

Answer:

maximum y=9 and x=0 but the minimum is infinite.

Step-by-step explanation:

i need help with the, Mia profit or loss for the money January account everfi

Answers

Answer:

is there more to the question

Are rent rates influenced by the student population in a college town? Let rent be the average monthly rent paid on rental units in a college town in the United States. Let pop denote the total city population, avginc the average city income, and pctstu the student population as a percentage of the total population. One model to test for a relationship is log1rent 2 5 b0 1 b1log1pop2 1 b2log1avginc2 1 b3pctstu 1 u. (i) State the null hypothesis that size of the student body relative to the population has no ceteris paribus effect on monthly rents. State the alternative that there is an effect. (ii) What signs do you expect for b1 and b2? (iii) The equation estimated using 1990 data from RENTAL for 64 college towns is

Answers

Step-by-step explanation:

The regression equation is correctly written as:

log(rent) = β₀+β₁log(pop)+β₂log(avginc)+β₃pctstu+μ

1. this question requires us to State the null hypothesis that size of the student body relative to the population has no ceteris paribus effect on monthly rents.

null hypothesis

H₀ : β₃ = 0 (no effect exists)

alternative that there is an effect.

H₁ : β ≠ 0

2.

Due to increased demand when population is increased, the higher the number of people living in the city then there is a great likelihood that rent would increase. β1 will therefore be positive, all things being equal.

as average income rises, so also would rent as the people would have more money and therefore there would be increased demand for housing. This increase in demand would then cause a surge in the price of rent.  β₂ would therefore be positive .

the last question you posted is incomplete so i was unable to go ahead with it.

I need help on this one please

Answers

Answer:

the answer is d

Step-by-step explanation:

Which of the following quantities are inversely proportional?

The number of hours worked and the amount of money earned, assuming the worker is paid by the hour

Answers

Answer:

Not Inversely Proportional

Step-by-step explanation:

100 POINTS PLS SOLVE !! ::

k-4 /9 =3

8+b /-4 = -5

Answers

Answer:

k = 31/9 b = 12

Step-by-step explanation:

k - 4 = 3

   9

k/9  = 3(9) + 4

k = 31/9

----------------------------

8 + b = -5

  -4

8 + b = -5 (-4)

8 +  b = 20

b = 20 - 8

b = 12

Answer:  

k = 31/9

b = 12  

proofing my answer is correct

k - 4 = 3

  9

k/9  = 3(9) + 4

k = 31/9

----------------------------

8 + b = -5

 -4

8 + b = -5 (-4)

8 +  b = 20

b = 20 - 8

b = 12

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