Researchers are studying populations of two squirrels, the eastern gray and the western gray. For the eastern gray squirrel, about 22 percent of the population weighs over 0.5 kilogram (kg). For the western gray squirrel, about 36 percent of the population weighs over 0.5 kg. A random sample of 60 squirrels will be selected from the population of eastern gray squirrels, and a random sample of 120 squirrels will be selected from the population of western gray squirrels. What is the mean of the sampling distribution of the difference in sample proportions (eastern minus western)

Answers

Answer 1

Answer:

p₁  -  p₂  = ( -0,28 . 0 )

Step-by-step explanation:

Eastern gray squirrel

Sample size    n₁  = 60

p₁  =  22 %        p₁  = 0,22       then     q₁  = 1 - 0,22      q₁ = 0,88

Western gray squirrel

Sample size  n₂  =  120

p₂ = 36%     p₂ = 0,36     Then    q₂  =  1  - 0,36     q₂  =  0,64

p (s)  = ( p₁ - p₂ ) /√ (p₁*q₁ ) / n₁   +  (p₂*q₂/ n₂)

p(s)  = ( 0,22 -  0,36 ) /√ (0,22*0,88)/60  +  ( 0,36*0,64)/120

p(s)  =  -0,14 /0,071

p(s) = - 1,9718

Then

CI = (  p₁ - p₂ ) ± p(s) *EED

EED =  /√ (p₁*q₁ ) / n₁   +  (p₂*q₂/ n₂)   = 0,071

CI = (  - 0,14  ±  1,9718 * 0,071 )

CI =  ( - 0,14  ±  0,14 )

CI =  ( - 0,28 ;  0 )

we will find with 95% of confidence the mean of the sampling distribution of the difference in sample proportion in the interval  ( -0,28 , 0 )

p₁  -  p₂  = ( -0,28 . 0 )

Answer 2

The sampling distribution of the difference in the proportions between proportion is given by possible values of the difference.

The mean of the difference in sample proportion is; (E) 0.22 - 0.36

Reasons:

The given information are;

Percentage of eastern gray squirrel population weighing over 0.5 kg = 22%

Percentage of western gray squirrel population weighing over 0.5 kg = 36%

Sample size of the eastern gray squirrels = 60

Sample size of the western gray squirrels = 120

Required:

The mean of the sampling distribution of the difference in sample proportions (eastern minus western)

The mean of the difference is given by the difference of the mean.

The mean of the sampling distribution of the difference in the sampling proportion from two populations is; Mean = p₁ - p₂

Where;

p₁ = The proportion of the eastern gray squirrel = 22% = 0.22

p₂ =  The proportion of the western gray squirrel = 36% = 0.36

Therefore;

Mean = p₁ - p₂ = 0.22 - 0.36

The correct option is (E) 0.22 - 0.36

Learn more here:

The possible question options obtained online includes;

[tex](A) \ \sqrt{\dfrac{0.22 \cdot (0.78)}{120} + \dfrac{0.36\cdot (0.64)}{60} }[/tex]

[tex](B) \ \sqrt{\dfrac{0.22 \cdot (0.78)}{60} + \dfrac{0.36\cdot (0.64)}{120} }[/tex]

(C) 60·(0.22) - 120·(0.36)

(D) 0.36 - 0.22

(E) 0.22 - 0.36


Related Questions

Which The following radical functions is graphed below

Answers

Answer:

Option A

Step-by-step explanation:

From the graph attached,

Vertical asymptote of the given function → x = -4

Horizontal asymptote → y = 0

Oblique asymptote → None

Therefore, graph that has been given in the picture is,

F(x) = [tex]\frac{1}{(x+4)^2}[/tex]

Option (A) will be the answer.

solve for x! show your work please :)

Answers

Answer:

x= 12

Step-by-step explanation:

16=24

2x-6= 18

2x= 18+6= 24

2x= 24

x= 24/2= 12

hope it helps!

Answer:

x=12

Step-by-step explanation:

Line AC and line PR are congruent.

2x-6=18

2x=24

x=12

What is the measure of angle x?
37
Enter your answer in the box
82
m3 =

Answers

Answer:

61

Step-by-step explanation:

we kno that a triangle is 180 degrees so we just add the first two angles

37 + 82 = 119

then subtract that from 180

180 - 119 = 61

so x = 61 degrees

lmk if this wrong and ill fix it

hope this helps <3

Answer:61

Step-by-step explanation:

i did test on k12 it was right

Suppose we wish to demonstrate that there is a difference between the proportions of wives and husbands who do laundry at home. From a random sample of 66 randomly selected wives, we observe 44 who do laundry at home. From a random sample of 46 husbands, we observe 18 who do laundry at home. Test the claim that the proportion of wives, p 1 , who do laundry at home is different from the proportion of husbands, p 2 , who do laundry at home. Use a 1% significance level.

Answers

Answer:

Step-by-step explanation:

From this study:

The null hypothesis:

[tex]H_o : p_1 =p_2[/tex]

The altenative is:

[tex]H_a : p_1 \ne p_2[/tex]

This test is a two-tailed test.

However; we are told that the wives have 44 success out of 66, then the number of failures will be 22.

Then;

[tex]\hat p_1 = \dfrac{44}{66}[/tex]

[tex]\hat p_1 = 0.6667[/tex]

Similarly, the husbands have 18 success out of 46, then the number of failures will be 28

Then:

[tex]\hat p_2 = \dfrac{18}{46}[/tex]

[tex]\hat p_2 = 0.3913[/tex]

The pooled proportion [tex]p = \dfrac{18+44}{66+46}[/tex]

[tex]p = \dfrac{62}{112}[/tex]

p = 0.55357

The estimated standard error S.E is:

[tex]= \sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}[/tex]

= [tex]\sqrt{ 0.55357(1-0.55357) \Big( \dfrac{1}{66} + \dfrac{1}{46} \Big)}[/tex]

[tex]=\sqrt{ 0.55357(0.44643) \Big(0.01515 + 0.021739 \Big)}[/tex]

[tex]=\sqrt{ 0.00911638798}[/tex]

= 0.0955

The Z test statitics can now be computed as:

[tex]Z = \dfrac{ \hat p_1 - \hat p_2}{\sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}}[/tex]

[tex]Z = \dfrac{0.6667 -0.3913}{0.0955}[/tex]

Z = 2.88

Th p -value from the test statistics is:

p-value = 2P(Z > 2.88)

p- value = 2 P (1 - Z < 2.88)

p-value = 2 ( 1 - 0.998)

p-value = 2 ( 0.002)

p -alue = 0.004

Decision Rule:

Thus, at 0.01 significance level, we reject the null hypothesis because, p-value is less than that (i.e. significance level)

Conclusion:

We conclude that there is a significant  difference between the proportions.

If cos a= 0.93,Sin 0 =0.26, and tan ß = 0.84, find a + B + 0.

Answers

Answer:

76.665

Step-by-step explanation:

Given that,

cos α = 0.93, Sin θ =0.26 and tanβ = 0.84

We need to find the value of α, β and θ

[tex]\alpha =\cos^{-1}(0.93)\\\\=21.565\\\\\beta =\tan^{-1}(0.84)\\\\=40.030\\\\\theta=\sin^{-1}(0.26)\\\\=15.07[/tex]

So,

[tex]\alpha +\beta +\theta=21.565+40.03+15.07\\\\=76.665[/tex]

Hence, the final answer is 76.665.

The numbers - 12, -7, -2,3,... follow a pattern. What are the next three
numbers in this pattern?

Answers

The pattern is +5...

Answer:

5

Step-by-step explanation:

Millions of students take statistics each year! Researchers hoping to help professors teach better conducted a study in statistics classrooms. They had the same instructor teach three different classes, with randomly assigned students, with three different methods! Method A - traditional lectures, with homework outside of class. Method B - flipped classroom, with students watching videos of lectures and working on homework in class with peers and instructor. Method C - fully online, with students watching videos of lectures, with homework outside of class. They then gave each class the same final exam (out of 20 points). These were the results:

Answers

Answer:

It doesnt show the results

Step-by-step explanation:

In a scale model of a product, a part has a volume of 20 inches cubed. If the product will be 4 times longer, 4 times wider, and 4 times taller than the model, then what will be the volume of the product?

Answers

Answer:

1280 in³

Step-by-step explanation:

Volume of model v = 20 in³

The volume is the product of 3 dimensions

If each dimension will increase 4 times, then the volume of the product will be:

V = v*4*4*4 V = 20*64 = 1280 in³

the ratio of pens to pencils that are used by Woodlands middle school students is 3 to 2 if their is a total of 160 middle school students how many of them use pencils

Answers

Answer:

Number of students that use pen= 96

Step-by-step explanation:

Giving the following information:

Ratio pens to pencil= 3:2

First, we need to calculate the proportion of pens and pencils in this middle school:

Pens= 3/5= 0.6

Pencil= 2/5= 0.4

Now, we can determine the number of students that uses pens:

Number of students that use pen= 160*0.6

Number of students that use pen= 96

-3224 base 5 -3434 base 5

Answers

I guess you're asking to compute the difference,

-3224₅ - 3434₅

Ignore the minus signs for now, and consider the sum

3224₅ + 3434₅

In the 5⁰ place (the rightmost digit) we have

4₅ + 4₅ = 8 = 13₅

Carry the 1 to the next place. In the 5¹ place,

2₅ + 3₅ + 1₅ = 6 = 11₅

Carry the 1. In the 5² place,

2₅ + 4₅ + 1₅ = 7 = 12₅

Carry the 1. In the 5³ place,

3₅ + 3₅ + 1₅ = 7 = 12₅

So,

3224₅ + 3434₅ = 12213₅

and hence

-3224₅ - 3434₅ = -12213₅

I give brainliest
Which of the following sets of ordered pairs represent functions? Select all.

A. (0,3), (1,4), (2,5), (1,6), (0,7)


B.(-2,0), (0.1), (2.2), (4,3), (6,4)


C. (2,4), (0,2), (2,0). (0,-2), (2,-4)


D. (3,-2), (4, -3), (5,-4), (6,-5)


E. (3,-2).(-2,3), (4, -1) (-1, 4)

Answers

Functions are accurate through having one x intercepts which is how you can find which are functions or not.
Answer- B,D,E

chris types 350 words in 4 minutes. Which equation can be used to find w, the number of words chris can type in 20 minutes if he continues to type at the same speed rate?​

Answers

Answer:

Chris will type 7,000 words in 20 minutes. You can use 350 x 20 to find your answer.

Step-by-step explanation:

Mahua has money automatically deposited into a savings account each week. After 5 weeks, she has $20. After 7 weeks, she has $28. The unit rate is measured in dollars per week. What is the constant of proportionality?​

Answers

Answer:

The unit rate per week is $4.

Step-by-step explanation:

Mahua has money automatically deposited into a savings account each week. After 5 weeks, she has $20. After 7 weeks, she has $28. The unit rate is measured in dollars per week. What is the constant of proportionality?​

The answer is 4

Heidi is purchasing a frozen yogurt dessert. She must select a flavor, a type of sauce, and a topping from options in
the table.
Frozen Yogurt Dessert Options
Sauce
Pineapple
Blueberry
Strawberry
Topping
Cherry
Rainbow Sprinkles
Chocolate Sprinkles
Nuts
Flavor
Vanilla
Chocolate
How many different combinations are possible?

Answers

Answer:

288 combinations.

Step-by-step explanation:

Simply multiply 2! by 3! and 4! which equals to 2 * 6 * 24 = 288 combinations.

Hope this helped!

Answer:

24

Step-by-step explanation:

Find the area round to the nearest 10th if necessary

Answers

Answer:

5th

Step-by-step explanation: because its the half and the closest area of the figure

64 + 112 + 290 = 466

4 glasses of milk and 2 snack bars have a total of 86 carbohydrates​ (carbs), and
2 glasses of milk and 3 snack bars have a total of 69 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

Answers

Answer:

There are 15 carbs in one glass of milk and 13 carbs in one snack bar.

Step-by-step explanation:

Let m be the number of carbohydrates in one glass of milk and

Let s be the number of carbohydrates in one snack bar

Then according to given information

The system of equations will be:

[tex]4m+2s = 86\\2m+3s = 69[/tex]

Multiplying equation 2 by 2 and subtracting from equation 1

[tex]2(2m+3s) = 69*2\\4m+6s = 138[/tex]

Subtracting from equation 1

[tex]4m+2s-(4m+6s) = 86-138\\4m+2s-4m-6s = -52\\-4s = -52\\\frac{-4s}{-4} = \frac{-52}{-4}\\s = 13[/tex]

Putting s=13 in equation 1

[tex]4m+2(13) =86\\4m+26 = 86\\4m = 86-26\\4m = 60\\\frac{4m}{4} = \frac{60}{4}\\m = 15[/tex]

Hence,

There are 15 carbs in one glass of milk and 13 carbs in one snack bar.

Maria has a savings account that is earning simple interest. If she started with $200 in the account and has earned a total of $8 in interest in two years, what is the rate of the account?

Answers

Answer:

The rate of the interest for savings account is: 2%

Step-by-step explanation:

Simple interest is given by the formula

[tex]I = Prt[/tex]

Here

I is the interest,

P is the principal amount

r is the interest rate

and

t is the time period in years

Now, it is given that

P = $200

I = $8

t = 2 years

Putting the values in the formula

[tex]8 = 200 * r * 2\\8 = 400 * r\\r =\frac{8}{400}\\r = 0.02[/tex]

Converting into percentage

r = 2%

Hence,

The rate of the interest for savings account is: 2%

Answer:

0.02

Step-by-step explanation

A six controller thumb covers costs $2.10. At this rate, how much should 32 thumb covers cost? round to the
nearest cent.

Answers

Answer:

67 dollars and 20 cents

Step-by-step explanation:

2.10 per thumb cover

32x2.10=67.2

Answer:

if a six controller thumb cover cost 2.10 then you multiply 2.10 by 5 (because if you need 32 then you divide 32/6 and you get 5) 2.10 x 5 would equal 10.50 so that's your answer 10.50

Step-by-step explanation:

dont mind this question

Answers

Answer:

hello, there.

Step-by-step explanation:

General kanobi

There are 6 2/3 pounds of walnuts in a container, which will be divided equally into containers that hold 1 1/2pounds. This would fill and 4/9 containers. (3 points)

Answers

Step-by-step explanation:

Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.

Carle is cutting pieces of string that are exactly inches long. How many pieces can she cut from a ball of string that has 100 feet?

Answers

Answer:

Carle is cutting pieces of string that are exactly 24 3/8 inches long. How many pieces can she cut from a ball of string that has 100 feet? 1 foot= 12 inches. A) 49 pieces.Oct 14, 2016

Step-by-step explanation:

URGENT
The table shows the derivation of tan(2x). Select the
correct reason for each step.
Reason 1 is
Reason 2 is
Reason 3 is

Answers

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent Sum Identity

Reason 3 is: Simplify

Step-by-step explanation: ED 2020

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent Sum Identity

Reason 3 is: Simplify

Step-by-step explanation:

Which are 60% as a fraction?

Answers

answer:
6/ 10 and 3/5

Answer:

3/5

Step-by-step explanation:

Add the following complex numbers: (4 - 2i) + (12 + 7i) A. -8 + 5i B. 16 + 5i C. 16 + 9i D. -8 + 9i

Answers

Summing complex numbers is easy: you just sum the real parts together and the imaginary parts together:

[tex](a+bi)+(c+di)=(a+c)+(b+d)i[/tex]

So, you have

[tex](4 - 2i) + (12 + 7i) = (4+12)+(-2+7)i = 16+5i[/tex]

To collect data on the signal strengths in a neighborhood, Briana must drive from house to house and take readings. She has a graduate student, Henry, to assist her. Briana figures it would take her 12 hours to complete the task working alone, and that it would take Henry 18 hours if he completed the task by himself. How long will it take Briana and Henry to complete the task together?

Answers

Answer:

Both take time together = 36 / 5 hours = 7.2 hours

Step-by-step explanation:

Given:

Briana take time = 12 hour

Henry take time = 18 hour

Find:

Both take time together

Computation:

Briana 1 hour work = 1/12

Henry 1 hour work = 1/18

Both take time together = 1/[1/12+1/18]

Both take time together = 1/[5/36]

Both take time together = 36 / 5 hours = 7.2 hours

Consider the following triangle:
Part A:find the perimeter of the triangle:
Options__
1) 72^1/2+32^1/2+2.16^1/3
2) 72^1/2+32^1/2+32^1/3
3) 104^1/2+2.16^1/3
Part B: Ronnie correctly rewrote the perimeter using radicals. Which expression did he use?
1) √32+ √72+3^ √16
2) √32+ √72+ √16
3) √32+ √72+3^ √32
4) √32+ √72+2 3^ √16

Part c in graph...if you already know the answer for it..please let me know

Answers

Answer:

Part A: B

Part B: I think 3

Step-by-step explanation:

Simply for Part A, put all the numbers together and add them for 2*16^1/3, you just multiply the 2 and 16. For the second part, use process of elimination

HOPE THIS HELPS:

SSG

Antonio completed the right column of the table to help him find the sum of twonights and 1/5. In which step did his first ever occur?

Answers

Step 3 because 10 is not the equivalent fraction for your number

What are the first three terms of the Arithmetic Sequence an = 12 – 2(n – 1)?
Group of answer choices

11, 10, 9

12, 10, 8

0, 10, 20

1, 2, 3

Answers

Answer:

The first 3 choices are:

12, 10, 8

Step-by-step explanation:

n represents a variable, in which you start at 1 and increase by 1.

So, we first start at 1.

12 - 2(1 - 1) = 12 - 2(0) = 12

Now, 2.

12 - 2(2 - 1) = 12 - 2(1) = 10

Now, 3.

12 - 2(3 - 1) = 12 - 2(2) = 8

So, we result in 12, 10, and 8.

#teamtrees #WAP (Water And Plant)

Answer:

B

Step-by-step explanation:

an = 12  - 2(n - 1)

a1 = 12 - 2(0)

a1 = 12

==============

a2 = 12 - 2(2 - 1)

a2 = 12 - 2

a2 = 10

==============

a3 = 12 - 2(3-1)

a3 = 12 - 2*2

a3 = 8

I think B must be the correct answer. I don't think you can start with n = 0 but the question should qualify that.

Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons. Write an equation that represents the number os teaspoons tcontAINED IN A CUP C.

Answers

Answer:

([tex]\frac{t}{3}[/tex])÷16=C

Question in picture will give brainly

Answers

Answer:

Number 10. is SAS I believe

Step-by-step explanation:

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