Ford provides an option of a sunroof and side air bag package for its Windstar model. This package costs$1400. Ford wants todetermine the percentage of Windstar buyers who would pay $1400 extra for the sunroof and side air bags. How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers

Answers

Answer 1

Answer:

601 buyers must be surveyed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers?

We need to survey n buyers. n is found when [tex]M = 0.04[/tex]. We dont have an estimate for the proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]

[tex]n = 600.3[/tex]

Rounding up

601 buyers must be surveyed.


Related Questions

what is 20/3 in pounds

Answers

Answer: 6 2/3 pounds.

Step-by-step explanation:

Answer:

6 2/3 pounds

Step-by-step explanation:

A parabola has its vertex at (-6, 5) and focus at (-6.25, 5). Which of the following is an equation for this parabola?

Answers

Answer:

Step-by-step explanation:

vertex and focus are horizontally aligned, so parabola is horizontal.

focal length p = distance between focus and vertex = 0.25

focus lies to the left of vertex, so the parabola opens to the left.

x = a(y-k)² + h,

vertex (h,k)

a = -1/(4p)

vertex (-6,5)

h = -6

k = 5

p = 0.25

a = -1/(4·0.25) = -1

x = -(y-5)² - 6

There are 20 girls
and 12 boys in a class.
What would be the probability of
randomly selecting a girl? (Decimals please)

Answers

Answer: 240

Step-by-step explanation:

Suppose in a math class of 22 students, 14 are boys and 8 are girls. ... for a girl you have a 8 out of 22 students chance....for an A you have an additional ... 8/22+4/22 = 12/22 = 6/11. for a boy there is a 14 out of 22 chance of being a boy and an ... 14/22 + 6/22 = 20/22= 10/11 ... How to display latex properly

1. What is the value of x?
41°
72
Your answer

Answers

triangles add up to 180°, so the answer is 67
It is 67 because the triangle is at 180 degrees so 180-72=108 than do 108-41=67.

Solve for x.
5x + 14 greater than or equal to 54

Answers

Answer:

x = 8

Step-by-step explanation:

Answer:

equal, tell me if I'm wrong

State whether each pair of expressions are equivalent. Show your work.
5 ( x - 1) and 5x - 1 HELP

Answers

Answer:

Both of them are NOT equivalent.

Step-by-step explanation:

Use the distributive property to see if 5(x - 1) and 5x - 1 were equivalent.

5(x - 1)

= 5x - 5

This tells us 5(x - 1) is not equivalent to 5x - 1.

Please help ASAP. I need someone to check my Geometry answer and explain why I am right or wrong. REAL ANSWERS ONLY. 20 PTS!

Answers

Answer:

you are right

Step-by-step explanation:

Use the law of law of cos

c^2=a^2+b^2﹣2abcos√angle

(2√13)^2=52=4+36-24cos(a)

cos(a) = -12/24 =  -1/2

a = 120 degrees

so yes, you are right

Find the slope of the line passing through the two points ( 2, 7) and ( 6, 15)

Answers

m = y2-y1/x2-x1

m = 15-7/6-2

m = 8/4

m = 2

A group of five students have a mean test score of "34.2." Another student has a score of 50. What is the mean average of all "six" students?

Answers

34.2+34.2+34.2+34.2+34.2+50 divided by 6 = 36.83

im confused ab this i didnt learn this

Answers

Answer:

90

Step-by-step explanation:

30% of 90 = 27

To explain this in a simple way we can check the work

10% of 90 = 9

9 x 3 = 27

Jenny made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $85?​

Answers

Answer: Jenny would have to work 5 hours to get $85

Step-by-step explanation:

Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5

If a frozen turkey takes 1 day for every 4 pounds to thaw in the refrigerator and 30 minutes per pound to thaw in a bath of cold water, what is the thaw rate for frozen turkey in hours per pound using each method?​

Answers

How long it takes: Allow approximately 30 minutes for every pound of turkey. A 15-pound bird will take about 7½ to 8 hours to thaw completely.

What Is The Answer
k3 - 4j +12, when k=8, j=2​

Answers

Answer:

The answer would be 28

Step-by-step explanation:

You would plug 8 in where k is and 2 where j is

so (8)3 - 4(2) +12

answer is 28

Yes, answers would be 28

Mary, John and Sue are working on a large project. From past experience it is estimated that Mary would require 45 days to complete the project, John would require 50 days, and Sue would require 60 days. If they work together, what would be the estimated number of days required to complete this project?

Answers

About 52 days if u use the averagep

HELP HELP 100 POINTS!! Paola was given the equation y= -x + 3. Which of following is an equivalent representation of the equation.

a. f(x) = -x + 3
b. f(y) = x
c. y = -f(x) + 3
d. f(y) = -x + 3
i also need a explanation

Answers

Answer:

a. Is the answer..

Let's solve for y.

y=−x+3

Answer:

y = −x + 3 = y = −x + 3

Hence f(x) = -x + 3 is equivalent to y = −x + 3

Hope it helps

Please mark me as the brainliest

Thank you

Use a table of Laplace transforms to find the Inverse Laplace transform of


F(s)= [tex]\frac{3s+9}{s^2+9}[/tex]


f(t)=_____

Answers

Answer:

The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].

Step-by-step explanation:

In this case, we should use the following direct and inverse Laplace Transforms:

[tex]F(s) = G(s) + H(s)[/tex] (1)

[tex]\mathcal{L}^{-1} \{\frac{s}{s^{2}+\omega^{2}} \} = \cos \omega t[/tex] (2)

[tex]\mathcal{L}^{-1}\{\frac{\omega}{s^{2}+\omega^{2}} \} = \sin \omega t[/tex] (3)

[tex]\mathcal\{L\}^{-1}\{c\cdot F(s)\} = c\cdot \mathcal\{L\}^{-1}\{F(s)\}[/tex] (4)

Then, we apply all these trasforms:

[tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex]

[tex]F(s) = 3\cdot \left(\frac{s}{s^{2}+9} \right)+3\cdot \left(\frac{3}{s^{2}+9} \right)[/tex]

[tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex]

The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].

the sum of three and five to the third power times five plus one

Answers

The value of the expression 3 + 5³ × 5 + 1 will be 629.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

According to the PEMDAS rule, the operation should be performed in the order of the computation or the parentheses, whichever comes first.

The sum of three and five to the third power times five plus one will be written mathematically and will be

⇒ 3 + 5³ × 5 + 1

Simplify the expression, then the value of the expression will be

⇒ 3 + 125 × 5 + 1

⇒ 3 + 625 + 1

⇒ 629

The value of the expression 3 + 5³ × 5 + 1 will be 629.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Is 4/2 equivalent to 1

Answers

Answer:

False

Step-by-step explanation:

4/2 = 2/1 = 2

And 2 ≠ 1

Hence, 4/2 ≠ 1

Hope it helps :)

Answer:

no .

Step-by-step explanation:

4/2 is equivalent to 2 , if it were 2/2 then it would be yes .

ill mark brainlist plss help

Answers

it is oxygen no doubt about it

plz help out zhavia out she keeps on texting me while im trying to work

Answers

Answer:

Step-by-step explanation:

increase ≤ 55-43.5

increase ≤ 11.5

Elanor can increase her speed by 11.5 miles per hour.

she can increase her speed by 11.5 miles per hour

6. Let f(x) = 2x5/2 and g(x) = 4x2 Find (f/g)(x). Please show work.​

Answers

Answer:

8,9,10

Step-by-step explanation:

Hey umm how do you make your stressed mom feel better?

Answers

Answer:

Help her around the house.

Step-by-step explanation:

If shes like nice sometimes, then go hug her or give her some water.

math HELPPPO MEEEEE PPZZZZ

Answers

Answer:

3x+7x

Step-by-step explanation:

Answer:

D) 3x+7x

Step-by-step explanation:

D) 3x+7x

simplify the fraction 84/96​

Answers

Answer:

The simplest form of 84/96 is 7/8.

Step-by-step explanation:

Thus, 7/8 is the simplified fraction for 84/96 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 84/96 by using the prime factorization method.

For the past three years, Nigel has grown 1 inches each year. How many total inches has he grown in the past three years?

Answers

Did it tell you a starting height? But that’s literally 3....

MK=24, JL= 20, And m

Answers

Answer:

Step-by-step explanation:

Answer: need a pic or more info

Step-by-step explanation:

What is the radius and diameter of the following circle? 18 cm
Radius = cm
Diameter = cm​

Answers

ANSWER:
Radius: ≈2.86
diameter: =5.72

EXPLANATION:

radius=d/2
diameter= 2r

find the exact value of sin a = 4/5, a lies in quadrant 2, and cos B = 2/5, B lies in quadrant 1 find cos(a-b)​

Answers

Answer:

Cos(a - b) = 0.959

Step-by-step explanation:

We know that:

Sin(a) = 4/5

Such that a is on the first quadrant (between 0° and 90°)

then:

Sin(a) = 4/5

Asin(sin(a)) = Asin(4/5)

a = Asin(4/5) = 53.13°

And:

Cos(b) = 2/5

Then:

Acos(Cos(b)) = Acos(2/5)

b = Acos(2/5) = 36.67°

Then:

Cos(a - b)

where:

a = 53.13° and b = 36.67°

Then:

Cos(a - b) = Cos(53.13° - 36.67°) = 0.959

what is the answer to 0.657/9 ?

Answers

Answer:

the answer is 0.073

Step-by-step explanation:

0.657/9= 0.073

SOMEONE, PLEASE HELPP ME!!!
Ten hamburger values meals cost $60.

Answers

Each burger is 6 dollars each and 4 of them would cause 24$
The burgers are $6 bucks each and 4 times 6 is 24 it’s 24
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