In two shipments of fruit, A and B, the proportions of fruit that are apples are and , respectively. Suppose that independent random samples of 50 fruit from A and 100 fruit from B. Let be the sample proportion of apples from shipment A and be the sample proportion of apples from shipment B. What is the mean of the sampling distribution of -

Answers

Answer 1

This question is incomplete, the complete question is;

In two shipments of fruit, A and B, the proportions of fruit that are apples are [tex]P^"_{A}[/tex] and [tex]P^"_{B}[/tex] , respectively. Suppose that independent random samples of 50 fruit from A and 100 fruit from B. Let [tex]P^"_{A}[/tex]  be the sample proportion of apples from shipment A and [tex]P^"_{B}[/tex] be the sample proportion of apples from shipment B. What is the mean of the sampling distribution of [tex]P^"_{A}[/tex] - [tex]P^"_{B}[/tex]  ?

Answer:

the mean of the sampling distribution is [tex]P^"_{A}[/tex] - [tex]P^"_{B}[/tex]  

Step-by-step explanation:

Given the data in the question;

let [tex]X_{A}[/tex] be number of apples from the shipment A

and [tex]X_{B}[/tex] be number of apples from shipment B

[tex]P^"_{A}[/tex]  =  [tex]X_{A}[/tex] /  [tex]n_{A}[/tex]  =  [tex]X_{A}[/tex] / 50                             {  x ¬ Bin(np )

{ [tex]X_{A}[/tex] = 50[tex]P^"_{A}[/tex]  )

[tex]P^"_{B}[/tex]  =  [tex]X_{B}[/tex] /  [tex]n_{B}[/tex]  =  [tex]X_{B}[/tex] / 100

( [tex]X_{B}[/tex] = 100[tex]P^"_{B}[/tex] )

E( [tex]P^"_{A}[/tex] - [tex]P^"_{B}[/tex]  ) = E( [tex]X_{A}[/tex] /  [tex]n_{A}[/tex]  - [tex]X_{B}[/tex] /  [tex]n_{B}[/tex] )

= E( [tex]X_{A}[/tex] / 50  -  [tex]X_{B}[/tex] / 100 )

= E([tex]X_{A}[/tex]) / 50  -  E([tex]X_{B}[/tex]) / 100

= 50[tex]P^"_{A}[/tex] / 50  -  100[tex]P^"_{B}[/tex]  / 100

=  [tex]P^"_{A}[/tex] - [tex]P^"_{B}[/tex]             { E(X) = np ]

Therefore, the mean of the sampling distribution is [tex]P^"_{A}[/tex] - [tex]P^"_{B}[/tex]  


Related Questions

Please help me workout this zero-product property

(X-6)(x+1)=0

Answers

X-6=0
Add +6 to both sides of the equation to get rid of -6 and leave x by its self.

X+1=0
Subtract -1 to both sides of the equation to get rid of +1 and leave x by its self.

Solution:

X= 6


X= -1

Hope this helped ;)

The last too are 6/12 & 21/10
Pleaseee help me .!!

Answers

Answer:

6/35 is the answer

Step-by-step explanation:

Amanda borrows £1200. She has to pay 21% per year simple interest. How much interest will Amanda have to pay in 3 years?

Answers

Answer:

756

Step-by-step explanation:

21% of 1200 is 252

252 x 3 = 756

Using the equation of compound interest, i.e.;
A=P(100+%/100)
We simplify and substitute, and get:
A= 2125.8732
So, you answer is £2125.8

15 + w = 3w - 11

Solve for W

Answers

Answer:

w=13

Step-by-step explanation:

15+w=3w-11

+11           +11

26+w=3w

    -w   -w

26=2w

26/2=2w/2

13=w

Answer:

w =13

Step-by-step explanation:

15+w=3w−11

Collect like terms

15+11=3w−w

Simplify

26=2w

Divide both sides of the equationy 2

26/2=2w/2

Simplify

13=w

switch sides

w=13

What would the equation be for this then

Answers

Answer:

You happen to know what I am looking at? Theres no photos :(

Step-by-step explanation:

please help fast thanks​

Answers

Answer:

3/4             5/7             5/4

32/33        20/21          27/13

1/2             16/25          9/14

16/49         3/2             13/15

should be the answers

Step-by-step explanation:

area if room 14.5m long
and 20.3 wide is​

Answers

294.34 I think this is the answer but I’m not fully sure

Samples of laboratory glass are in small, light packaging or heavy, large packaging. Suppose that 2% and 1% of the sample shipped in small and large packages, respectively, break during transit. If 58% of the samples are shipped in large packages and 42% are shipped in small packages, what proportion of samples break during shipment

Answers

Answer:

Total proportion of samples that break during shipment [tex]1.42[/tex] %

Step-by-step explanation:

Let the total number of glasses shipped is equal to [tex]100[/tex]

[tex]58[/tex] % of the glasses are shipped in large packets [tex]\frac{58}{100}*100 = 58[/tex]

[tex]42[/tex] % of the glasses are shipped in small packets [tex]\frac{42}{100}*100 = 42[/tex]

Number of broken glasses in small package [tex]= \frac{2}{100} * 42 = 0.84[/tex]

Number of broken glasses in large package [tex]= \frac{1}{100} * 58 = 0.58[/tex]

Total proportion of samples that break during shipment

[tex]\frac{0.84 + 0.58}{100} *100 = 1.42[/tex] %

Answers Appreciated! Thanks if you help!

Answers

Answer:6.28

Step-by-step explanation:

C=pi*diameter

C=3.14*2

C=6.28

please..I'm desperate. I have a D in this class..

Find an equation of the tangent line to the curve at the given point. y = 6x - x^3, (1,5)​

Answers

Step-by-step explanation:

Recall that the first derivative of an equation gives us the SLOPE for the tangent line.

So first, we should find the first derivative.

[tex]\frac{dy}{dx} = 6 - 3x^2[/tex]

With the first derivative, we can solve for the SLOPE of the tangent line at (1,5).

Using x = 1.

[tex]slope = 6 - 3(1)^2[/tex]

A tangent line is a line. And has the form [tex]y = mx +b[/tex]

Where m is the SLOPE of the line. and b is the y-intercept.

To get to this equation, let's use the point-slope technique.

[tex]y-y_1 = m(x-x_1)[/tex]

[tex]y - 5 = m(x-1)[/tex]

Solve for slope, substitute it into this equation for m and solve. That is the equation of the tangent line at the point (1,5).

22c + 33d?
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Answers

Answer:

55cd

Step-by-step explanation:

noah raised $54 to support the animal shelter, which is 60% of his fundraising goal.

Answers

His fundraising goal is $90

HELP PLEASE WILL GIVE BRAINLIST


Andrea is planning on building a shed. The blueprints show a shed that is 7 inches wide and 3 inches tall. The blueprints use a scale in which 34 inch represents 3 feet.

How wide and tall will the actual shed be?

Drag and drop the height and width of the actual shed into the boxes.

Shed Height Shed Width
6.75ft 15.75 12ft 28ft

Answers

♡ The Question ♡    

Andrea is planning on building a shed. The blueprints show a shed that is 7 inches wide and 3 inches tall. The blueprints use a scale in which  34 inch represents 3 feet.  

How wide and tall will the actual shed be?  

Drag and drop the height and width of the actual shed into the boxes.

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Answer ♡      

Shed Height --> 12 ft!

Shed Width --> 28 ft!  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Explanation/Step-By-Step ♡    

No Explanation/Step-By-Step provided!    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ Tips ♡        

-No tips provided!

The dimension of the actual shed.

Length = 0.26 feet

Wide = 0.62 feet

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

1 minute = 60 seconds

1 hour = 60 minutes

1 km = 1000 m

1 m = 100 cm

We have,

Shed dimensions in the blueprint:

Wide = 7 inches

Length = 3 inches

The scale factor:

34 inch = 3 feet

This means,

Multiply 7/34 on both sides of (1).

7/34 x 34 inch = 7/34 x 3 feet

7 inch = 21/34 feet

7 inch = 0.62 feet _____(A)

Multiply 3/34 on both sides of (1).

3/34 x 34 inches = 3/34 x 3 feet

3 inches = 0.26 feet ______(B)

From (A) and (B) we get,

Wide = 0.62 feet

Length = 0.26 feet

The actual dimension of the shed.

Length = 0.26 feet

Wide = 0.62 feet

Thus,

The dimension of the actual shed.

Length = 0.26 feet

Wide = 0.62 feet

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

how can I do this, can you explain me

Answers

Answer:

Step-by-step explanation:

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0 = -16t^2 + 1296.  Dividing all terms by -16, we get t^2 = 81, whose positive square root is 9.  It takes 9 seconds for the object to hit the ground.

Yellowstone National Park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 12 vans and 6 buses with 306 students. High School B rented and filled 12 vans and 9 buses with 369 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

Answers

Answer:

Your answer is.....

A bus carries 20 students

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Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

there are 25 students in the classroom

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Answers

Answer:

Yes, that is correct.

The answer 149.166666667 or 479 1/6

The exact answer is 149.166666667

In fraction form the answer is 2,875/6

Answer:

Yes you are indeed correct [tex](\frac{5}{6} )(575) = \frac{2875}{6}[/tex]

Step-by-step explanation:

[tex](\frac{5}{6} )(575) = \frac{2875}{6}[/tex]


Tina invests $3,700 into an account with a 4.4% interest that is compounded quarterly. How much money will she have in
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Round your answer to the nearest cent.
DO NOT round until you have calculated the final answer.

Answers

Answer:

5250.96

Step-by-step explanation:

The 4.4% interest rate compounded quarterly means that you get 4.4%/4 four times a year.  Over 8 years, that is 32 times.  Since we use decimals, not percentages, we get

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Answers

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Answers

Answer:

Step-by-step explanation:

9 = 3 × 3

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Please help, I will give brainliest, I am struggling badly.

Answers

Answer:

(8, -1)

Step-by-step explanation:

the solution is where they intersect. (x, y) and x is 8 while y is -1


Hector found twice as many seashells as
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How many seashells did his sister find?
Write an equation to represent the
situation. Then solve the equation to
answer the question.

Answers

Hector = 2s or h/2
Sister = s


Equation: h/2 = s

Substitution: (20)/2 = s

10 = s


Hector’s sister found 10 seashells.

CONVERT THE MIXED NUMBER TO AN IMPROPER FRACTION! 3 3/4 as an improper fraction asap​

Answers

Answer:

15/4 or 3.75

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

4x3=12

12+3=15

13. Ram obtains 40% of the marks in a paper of 200 marks. Shyam is ahead of Ram by 25% of Ram^ prime s marks, while Bhuvan is ahead of Shyam by one month of his own marks. How many marks does Bhuvan get?
112.5
115
120
125.25​

Answers

Answer:

I think the correct answer is 112.5

Step-by-step explanation:

Katie wants to know how much she needs to deposit into a two year CD account in order to earn $100 in simple interest. The account currently has a 1.5% interest rate. Round to the nearest cent . SHOW ALL WORK FOR ANY CREDIT!!

Answers

Answer:

To obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.

Step-by-step explanation:

Given that Katie wants to know how much she needs to deposit into a two year CD account in order to earn $ 100 in simple interest, knowing that the account currently has a 1.5% interest rate, the following calculation must be performed:

X x 0.015 = 100

X = 100 / 0.015

X = 6,666.66

6,666.66 x 1.015 = 6,766.66

Thus, to obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.

What would a box of 5 pounds of chicken cost per ounce? (Unit Rates)

Answers

you just have to multiply the coast of the chicken with the number of chicken you want.

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Therefor, the answer is $24.95.

Answer:

25

Step-by-step explanation:

5. What are the two different ways of factoring -6x - 18? Select all that apply. *
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Answers

Answer:

-6(x+3) is your answer ( i hope)

Step-by-step explanation:

Answer:

-6(x+3)

Step-by-step explanation:

please mark me the brainliest

If x= 3 and y = 4, then xy -2x=?

Answers

Step-by-step explanation:

Given

x = 3 , y = 4

xy - 2x

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= 12 - 6

= 6

Hope it will help :)

Step-by-step explanation:

Here's the answer. Hope it will help you

find the lengths of the lettered angles and sides. No approximation for square root is allowed

Answers

Answer:

x = 30°, y = 45°w = 14√2, v = 7√2

Step-by-step explanation:

ΔABC

BC/AB = sin x12/24 = sin x1/2 = sin xx = 30°

ΔDBC

DC = BC - given∠C = 90° - given ΔDBC is isosceles right triangle

∠BDC ≅ ∠DBC ⇒ y = 45°

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

ΔMPN is right isosceles triangle ⇒ MN = PN√2 = 14√2

w = 14√2

ΔMKP is right isosceles triangle ⇒ MK = KP

v = 1/2MN = 1/2(14√2) = 7√2

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