Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of preferring the new analgesic to within 0.08, with confidence 0.95. If the true probability is 0.75, how large a sample is needed to achieve this accuracy

Answers

Answer 1

Answer:

The large  sample n = 117.07

Step-by-step explanation:

Step(i):-

Given that the estimate error (M.E) = 0.08

The proportion (p) = 0.75

q =1-p = 1- 0.75 =0.25

Level of significance = 0.05

Z₀.₀₅ = 1.96≅ 2

Step(ii):-

The Marginal error is determined by

M.E = [tex]\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]

[tex]0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }[/tex]

Cross multiplication , we get

[tex]\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }[/tex]

√n = [tex]\frac{2 X0.4330}{0.08} = 10.825[/tex]

squaring on both sides , we get

n = 117.07

Final answer:-

The large  sample n = 117.07


Related Questions

what is 7.42 divded by 1.75

Answers

Answer: It equals 4.24

Answer:

4.24

Step-by-step explanation:

the calculator says otherwise (but yea its 4.24

A beachfront hotel is planning for its summer busy season. It wishes to estimate with 95% confidence the average number of nights each guest will stay in a single visit. Using a sample of guests who stayed last year, the average number of nights per guest is calculated at 5 nights. The standard deviation of the sample is 1.5 nights. The size of the sample used is 120 guests and the beachfront hotel desires a precision of plus or minus 0.5 nights.

Required:
a. What is the standard error of the mean in the lakefront resort example?
b. Within what range below can the resort expect with 95% confidence for the true population mean to fall?

Answers

Answer:

0.1369

(4.732, 5.268)

Step-by-step explanation:

Given that:

Mean, m = 5

Standard deviation, s = 1.5

Error margin, E = 0.5

Sample size, n = 120

Zcritical at 95% = 1.96

Standard Error of the mean (S. E) :

S. E = s /sqrt(n)

S. E = 1.5 / sqrt(120

S.E = 1.5 / 10.954451

S. E = 0.1369306

S. E = 0.1369

Confidence interval (C. I)

Mean ± (Zcritical * S.E)

5 ± (1.96 * 0.1369)

Lower boundary = 5 - 0.268324 = 4.731676

Upper boundary = 5 + 0.268324 = 5.268324

(4.732, 5.268)

1. Evaluate the expression for the given value of the variable. 4(z+ 4) + 5 for z = 2
A 4(2z + 4) +5
B -3
C 17
D 29

Answers

Answer:

D

Step-by-step explanation:

4(z+ 4) + 5    z = 2

4(2+4)+5

4(6)+5

24+5

=29

Answer:

theres a bunch of online calculators for equations of any type I reccomend saving your points for other subject questions

Step-by-step explanation:

FOR 20 points

Show your work neatly for each problem.
1. Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10 tins of cheese
popcorn and 8 tins of caramel popcorn for a total of $446. Cameron sold 22 tins of cheese popcorn and
11 tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin
of cheese popcorn and one tin of caramel popcorn. Show all your work.

Answers

Answer:

one tin of cheese $23

one tin of caramel $27

Step-by-step explanation:

let 'x' = cost of cheese tin

let 'y' = cost of caramel tin

10x + 8y = 446

22x + 11y = 803

i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms

  -110x - 88y = -4906

+  176x + 88y = 6424

    66x = 1518

     x = 1518 / 66

     x = 23

find 'y':  10(23) + 8y = 446

             230 + 8y = 446

              8y = 216

               y = 27

3 over x plus 6 over y

Answers

Answer:

[tex]\frac{3}{x}+\frac{6}{y}[/tex]

s'ams mother is twice as old as sam in 12 years sam will be as old as his mother was 12 years ago how old are sam and his mother now? sam is?years old his mother is ? years old

Answers

Answer:

Sam is 24 years old and his mother is 48 years old.

Step-by-step explanation:

Equations

Let's call

x   = Sam's current age

Since Sam's mother is twice as old as Sam:

2x = Sam's mother current age

x + 12 = Sam's age in 12 years

2x - 12 = Sam's mother age 12 years ago

These two last expressions are equal:

x + 12 = 2x - 12

Subtracting x and adding 12:

x = 24

2x = 48

Sam is 24 years old and his mother is 48 years old.

Answer:

Sam is 24 and his mom is 48

Step-by-step explanation:

What is the area, in square feet, of the rectangle shown below?

Answers

Answer:

D

Step-by-step explanation:

= 34/5 × 19/4

= 646/20

= [tex]32 \frac{6}{20} [/tex]

The area of the given rectangle is    [tex]32\frac{6}{20}[/tex] square feet

For better understanding check the calcualtion here .

Calcualtion :

Area of the rectangle is the space inside the given triangle .

Formula : Formula  to find the area of the triangle is length times width

Length and width are given as mixed fractions

Lets convert mixed fractions into improper fractions

[tex]Length =6\frac{4}{5}=\frac{6 \cdot 5+4}{5}=\frac{34}{5} \\Width=4\frac{3}{4}=\frac{4 \cdot 4+3}{4}=\frac{19}{4}[/tex]

Now we find out the area

[tex]Area= length \cdot width \\Area=\frac{34}{5} \cdot \frac{19}{4} \\Area= \frac{646}{20}[/tex]

Now we divide the number and find out the quotient and remainder

[tex]Area= \frac{646}{4} \\Quotient = 32 \\remainder =6\\Area= 32\frac{6}{20}[/tex]

The area of the given rectangle is    [tex]32\frac{6}{20}[/tex] square feet

Learn more information about 'Area of rectanlge ' here

brainly.com/question/21029878

please help i will give barinliest

Answers

You need to show us using a ruler what the length of the backboard is. Otherwise there’s nothing for use to answer without measurements. Just place the ruler along the backboard.

what is the remainder when 849,400 is divided by 216​

Answers

The anserws is 88 so your welcome

Answer:

The remainder is 88

Step-by-step explanation:

The Remainder of a Division

We have to find the remainder when we divide 849,400 by 216.

It could be found by doing the long division, but we'll do it with a calculator.

Entering the division in the calculator we get:

849,400/216=3,932.4074...

We take the whole part of the quotient (3,932) and multiply it by the divisor:

3,932*216=849,312

The remainder is obtained by subtracting 849,400-849,312=88

The remainder is 88

state if each pair of ratios forms a proportion 4/3 and 16/12 help me

Answers

Answer:

if you multiply 4/3 by 4/4 you get 4/16.

Step-by-step explanation:

Subscribe to Clutch Gam3r on You Tube

Michael has 12 yards of yellow fabric and 6 yards of purple fabric. how many inches of yellow and purple fabric does Kelly have.​

Answers

Answer:

648 inches

Step-by-step explanation:

12 + 6 = 18 yards

there are 36 inches in 1 yard

so there is 648 inches in 18 yards

Answer:

she has 18 yards of fabric all together

Simplify
(45x6y%) = (5x4y2

Answers

Answer:

0 would be your anwswer

Step-by-step explanation:

Kimmie sells custom T-shirts for $12 each at the flea market every Saturday She usually sells 36 T-shirts Kimmie surveys her customers about whether they would buy her T-shirts at a different price. She determines that for every $1 increase in price she would sell two fewer T-shirts and for even $1 decrease in price, she would sell two more T-shirts, Which quadratic function can Kimmie use to model price increments vs. total income so that she can find the price at which her income is maximized?​

Answers

Answer:

y =  -2*x² + 60*x

Step-by-step explanation:

The general form of a quadratic function is:

y = a*x² + b*x + c

We need to determine a  ;  b  ;  and c. For that we have three conditions therefore

Condition 1       at  x = 12 $ each T-shirts kimmie sells 36 units, then she gets

12* 36 = 432 $    or      y  =  432   and

432 = a(12)² + 12*b + c      or   432 = 144*a + 12*b + c

Second condition   selling at 13 $ each T-shirt  she sells 34 , then

13*34 = 442

442  = a(13)²  +  13*b  + c    or   442 = 169*a + 13*b + c

And the third condition

11*38  = 418

418 = a* ( 121)  + 11*b  + c         418  =  121*a  +  11*b  + c

We have a three equation system

432 =   144*a + 12*b + c         (1)

442  =   169*a + 13*b + c       (2)

418 =    121*a  +  11*b  + c       (3)

We need to solve it for a,  b  and  c

Subtracting (2) - (1)        10 = 25*a  +  b    and subtracting (2) - (3)

24 = 48*a  + 2*b

Then       b  =  10 -  25*a         and     24  =  48*a + 2*( 10 - 25*a )

24  =  48*a +  20  - 50*a

24 -  20  =   -2*a

4  =  - 2*a    

a  = - 2      and   b =  10 - 25*( -2)     b = 60

Finally  c   is:    432 =   144*a + 12*b + c  

432  =  144* ( -2) + 12*60  + c

432  = -  288  +  720  +  c

432  = 432  + c

c =  0

The quadratic function is:

y =  -2*x² + 60*x

What is the distance between point (8,4) and point (3,2) rounded to the nearest tenth?

Answers

Step-by-step explanation:

the answer of this question is 5.39

Tara and Edward each painted their bedrooms. They finished in the same amount of time, Even thought Edwards bedroom is bigger. They have 4 hours to start painting the basement before dinner is ready. Who will likely paint a larger part if the basement?

Answers

Answer:Edward

Step-by-step explanation:

calculate the unit rate of change for each linear function using the formula. (4,9) (8,12) (16,18) (32,30)

Answers

Answer:

The unit rate of change is of [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

We are given a set of points (x,y).

To find the unit rate of change, we take two points, and divide the change in y by the change in x.

Points (4,9) and (8,12)

Change in y: 12 - 9 = 3

Change in x: 8 - 4 = 4

Unit rate of change: [tex]\frac{3}{4}[/tex]

The next number in the arithmetic sequence 10, 23, 36, __is:
49.
46.
43.
50.

Answers

Answer:

49

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

From the sequence it is obvious that the next number was simply the addition of 13, so by adding 13 to 36 we get 49

find the value of x in the equation below.

x+1=6

Answers

X+1=6
Move the constant to the right hand side and change its sing
X=6-1
You subtract the number
X=5
And that’s your solution

Convert the following recipe for 12 portions so that it yields 60 portions.
Stir Fried Chicken
3 lb chicken 6 oz. soy sauce 1 lb. green peppers
1/2 lb. scallions 2 oz ginger
2 cups Water

Answers

Answer:

15lb chicken 30 oz. soy sauce 5lb. green peppers

2 1/2 lb. scallions 10 oz. ginger

10 cups Water

To make 60 proportions of Stir Fried Chicken requires 15lbs of chicken,

30 oz of soy sauce, 3 lb. green peppers, 5/2 lb scallions, 10 oz ginger, and 10 cups Water.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given  12 portions of  Stir-Fried Chicken requires 3 lb chicken 6 oz.

soy sauce 1 lb. green peppers

1/2 lb scallions

2 oz ginger

2 cups Water.

∴ To make 60 proportion or (12×5) proportion we have to multiply each ingredient by a factor of 5.

So,  60 proportions of  Stir-Fried Chicken requires (3×5) = 15lbs of chicken,

(6×5) = 30 oz of soy sauce,  (1×3) = 3 lb. green peppers, (1/2×5) = 5/2 lb scallions, (2×5) = 10 oz ginger and (2×5) = 10 cups Water.

learn more about ratios and proportions here :

https://brainly.com/question/26974513

#SPJ5

A rectangular room measures 21 feet by 28 feet with a 10-foot-high ceiling. The flooring is being replaced with carpeting that sells for $10.45 per square foot and entails a $149 installation fee. What is the total pricing for the carpeting with an 8.0% sales tax

Answers

9514 1404 393

Answer:

  $6,797.09

Step-by-step explanation:

The area of the floor is ...

  (21 ft)(28 ft) = 588 ft²

Then the cost of the carpet material is ...

  (588 ft²)($10.45/ft²) = $6,144.60

The subtotal with installation fee is ...

  $6,144.60 +149.00 = $6,293.60

Adding the sales tax multiplies this amount by 1 +8% = 1.08, so the final price is ...

  1.08 × $6,293.60 = $6,797.09 . . . total price

flocabulary multplying fractions

Answers

Answer:

don't know what you need

Step-by-step explanation:

The two figures are similar. Identify the similar sides, and then write the similarity statement. Fill in each blank, then complete the sentence by explaining your reasoning.


• AB is similar to ____ because:



• AC is similar to ____ because:



• CB is similar to ____ because:




Step 2: Write the similarity statement.

Answers

Answer:

- AB is similar to YZ because all the sides from triangle ABC got multiplied by 3/4, and 40 times 3/4 = 30.

- AC is similar to YX because 50 times 3/4 = 37.5.

- CB is similar to XZ because 60 times 3/4 = 45.

hope this helps!

Need help in math!!!!!!!!

Answers

Answer:

1.9x+2(1.5)>30

Step-by-step explanation:

1.9(15)+2(1.5)

28.5+3

31.5 dollars

therefore the equation is grater than 30 dollars


The polygons
are similar. Find the value of x.
10
2x - 19
7
14
14

Answers

answer:

14 is two times greater than 7.

so,

10 is two times greater than 2x - 19

10 = 2(2x - 19)

10 = 4x - 38

48 = 4x

x = 12

-- please mark the brainliest and click the thanks button if correct :)

82 - 2x - 10 factor each polynomia
l​

Answers

the answer to that equation is =2(36 - x) i’m pretty sure

Find the slope of the line that passes through the points (2,8) and (6,8).

Answers

Answer:

8-8/6-2

0/4

answer is 0

y=0x+c

8=0(2)+c

8=0+c

8=c

y=0x+8 i thinkkk

Step-by-step explanation:

Answer:

8-8/6-2

0/4

answer is 0

y=0x+c

8=0(2)+c

8=0+c

8=c

y=0x+8

Step-by-step explanation:

Which system of linear equations appears to have a solution of (3,0)?

Answers

Answer:

C

Step-by-step explanation:

I need help... plssss :))

Answers

Answer:

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

NO

Step-by-step explanation:

✔️Each ordered pair is written as (input, output).

Thus, we would have the following:

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

✔️This cannot be a function because every input value do not have exactly one output value related to it. A function should not have an input value related to more than one output value.

So, the answer is NO. It is not a function.

HELPPPPPPPPPPPPPPPPPPPP QUICK PLEAAAAAAAAAAAASE

Which of these geometric figures can intersect to form a cross section? Check all that apply.
1. a line and a prism
2. a line and a rectangle
3. a point and a prism
4. a prism and a horizontal plane
5. a vertical plane and a pyramid

Answers

A:line and a prism.
B:line and rectangle

A grid has lines at 90-degreree angles. There are 12 lines in one direction and 9 lines in the other direction. Lines that are parallel are 11 inches apart. What is the least number of 12in by 12in floor tiles needed to cover all of the line intersections of the grid? The tiles do not have too touch each other.

Answers

Answer:

70

Step-by-step explanation:

Given that:

There are twelve (12) lines in a direction and another nine 9 lines in another direction.

If we draw the above illustration out, we will realize that we will have 11 squares by 8 squares.

i.e these 11 squares are 11 inches apart.

Hence, the length of their grid = 11  inches × 11 inches = 121  inches²

Thus, for 12 in by 12 in tiles; we will have:

= [tex]\dfrac {121}{12}[/tex]

= [tex]10 \dfrac{1}{12}[/tex]

This implies that there are 10 files with just [tex]\dfrac{1}{2}[/tex] inch gap in length.

Similarly, for 8 squares and 11 inches apart;

The width = 8 inches × 11 inches = 88 inches²

Thus; the 12 in tiles needed = [tex]\dfrac{88}{12}[/tex]

= [tex]7 \dfrac{1}{3}[/tex]

It signifies that there are 7 tiles with [tex]\dfrac{1}{3}[/tex] inch gap in width.

Thus, the least number of tiles required = 10 × 7 = 70

Other Questions
[tex]-4 ( x + 1/16 )[/tex] Brianna bought snacks for her team's practice. She bought a bag oforanges for $2.63 and a 8-pack of juice bottles. The total cost beforetax was $16.07. Write and solve an equation which can be used todetermine x, how much each bottle of juice costs? 5/= 1.5 x 25 What is 1.5 25A. 22.5 B. 37.5 c. 52.5 D. 85.5 How did the bubonic plague affect the power of the Catholic Church?People relied on the church for treatment to cure them from the disease.More people began going to church seeking protection from the disease.People began to distrust the church since it was unable to explain the disease.More people explored other religions since other religious groups seemed less affected. PLEASE HELP ME IT IS AN EMERGENCY!!!!!!!!! I WILL MARK BRAINLLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!!When the original price and discounted prices are known, how can we find the percent markdown? Why couldn't your friends change the amount spent on education and family care? I NEED HELP What animal adaption happened before the others? a.pexA) Reproduction on landB) Development of a coelomC) Tissue developmentD) Deuterostome development Which type of interest will earn you more money in a savings account? Find the volume of a cylinder that has a diameter of 12 cm and a height of 5cm. Use 3.14 for pi and round to the nearest tenth. * what is the correct order of empire steps Question 8 (1 point) A warm air mass that forms over land. It is dry, dense, and has high air pressure. This air mass forms when maritime tropical dries out Lesson 1.07 Maritime Polar Continental Polar Maritime Polar Maritime Tropical Maritime Tropical Continental Tropical Maritime Tropical O Continental Polar Maritime Tropical O Continental Tropical O Maritime Polar Taylor has dd dimes and qq quarters. She has a maximum of $4 worth of coins altogether. Write this situation as an inequality. Which of the equations are true identities? A. n(n 2)(n + 2) = n 4n B. (x + 1) 2x + y = x + y + 1 Choose 1 answer: Only A Only B Both A and B Neither A nor B Vinegar is insoluble in vegatable oil. Does this mean that vinegar is a totally insoluble substance? 1. What conclusion can be drawn about the constitutional amendment process whencomparing the U.S. and Florida?a. A republican form of government is reinforced by citizen initiatives.b. Direct democracy is more responsive than representative democracy.c. Judicial review is supported by a formal process outlined in each document.d. Proposals are less likely to be ratified at the state level than at the national level. Don James purchased a new automobile for $21,000. Don made a cash down payment of $5,250 and agreed to pay the remaining balance in 30 monthly installments, beginning one month from the date of purchase. Financing is available at a 24% annual interest rate. Required:Calculate the amount of the required monthly payment. Which of these is NOT a cause of the War of 1812?A.) British burning down Washington, D.C.B.) British searching and seizing American shipsC.) British giving guns and ammunition to the Native AmericansD.) British impressment of American sailors Why did France stared impressing U.S. ships a b =PLEASE TELL NEEEE Cost of a tie: $35.50Markup: 30%Discount: 20%Tax: 5%