A fashion designer wants to know how many new dresses women buy each year. Assume a previous study found the variance to be 2.89. She thinks the mean is 5.6 dresses per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.11 at the 98% level of confidence?

Answers

Answer 1

Answer:

The minimum sample required = 1296.65

Step-by-step explanation:

Given that:

Variance [tex]\sigma^2 = 2.89[/tex]

Standard deviation [tex]\sigma = \sqrt{2.89}[/tex]

Standard deviation [tex]\sigma = 1.7[/tex]

Margin of error = 0.11

Confidence Interval = 98%

Level of significance =  1 - 0.98 = 0.02

The critical value = [tex]Z _{\alpha//2} = Z_{0.02/2} = Z_{0.01}[/tex]

= 2.33  

Thus, the minimum sample size is given by the formula:

[tex]n = \bigg ( \dfrac{Z_{\alpha/2} \times \sigma }{E} \bigg)^2[/tex]

[tex]n = \bigg (\dfrac{2.33 \times 1.7 }{0.11} \bigg)^2[/tex]

n = 1296.65


Related Questions

Katie completes 2/3 of her craft project in 3/4 of an hour at this rate what fraction of the craft project does Katie complete in one hour give your answer in fraction form

Answers

Answer:

2/3 in 3/4 of an hour. that would mean u an extra 1/4 of an hour would give Katie the time to finish up the project

Step-by-step explanation:

Katie, take no breaks when u can get this done in an hour. don't be lazy

May you please help me on this question ill give out braily

Answers

The answer is b because d represents how many days he practices

Answer:

D is your answer :D can you answer my question pleasseeeee it would be easy for you

X/4-14=9
what is x?

Answers

Step-by-step explanation:

x/4=9+14

x/4=23

x=92

iget 92

The person on top is correct it is 92

A taxi cab charges a flat fee of $1.75 plus $0.30 for each half-mile or fraction of a half-mile.

a) Fill in the chart.

b)write and equation for the function.

Answers

Answer:

a) there is no chart but we can elaborate one:

taxi fee            half-miles driven

$1.75                      0

$2.05                     1

$2.35                     2

$2.65                     3

$2.95                     4

$3.25                     5

$3.55                     6

b) y = 0.3x + 1.75

where:

y = taxi fee

x = half miles driven

What is the constant
rate of change?
y = 5 – 17x

Answers

Answer:

-17

Step-by-step explanation:

The constant rate of change of a line is always the SLOPE. In the equation

y = mx + b, m represents the constant rate of change.

The constant rate of change from this equation is -17 because it's the slope.

A new sidewalk will be 4 feet​ wide, 240 feet​ long, and filled to a depth of 9 inches ​(0.75 ​foot) with concrete. How many cubic yards of concrete are​ needed?

Answers

Answer: The number of cubic yards of concrete that are needed is 720.

Step-by-step explanation: The same formula for this type of shape stays the same: l*w*(h or d).

240 * 4 = 960

960 * 0.75 = 720

The amount of cubic yard of concrete needed is about 720 cubic foot

How to calculate the volume of box?

The formula for calculating the volume of the concrete is expressed as:

V = lwh

l is the length =240feet

w is the width = 4 feet

h is the depth = 0.75foot'

Determine the volume

V = 240 * 4 * 0.75
V = 720 cubic feet

Hence the amount of cubic yard of concrete needed is about 720 cubic foot

Learn more volume here:  https://brainly.com/question/9554871

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Evaluate this expression.
112.212 - (- 3.25)

Answers

Answer:

115.462

Step-by-step explanation:

Answer: 115.462

Step-by-step explanation:

To start, the first thing we can observe is two negative signs, which we know turns into a positive sign.

Therefore, we now have:

112.212 + 3.25

115.462

Hope this helps!

What’s the answer to this multi step equation? -3(12x+9)=9

Answers

Answer: x=-1

Step-by-step explanation:

Please I need some answers

Answers

i believe the answers would be:

a)2^6
b)5^7
c)7^6

hope this helps :)))

You reflect triangle PQR, with vertices P(-2, -4), Q(-3, -1), and R(-4, -4), across the y-axis to get triangle P′Q′R′. What are the coordinates of triangle P′Q′R′?

Answers

Answer:

Step-by-step explanation:

If you reflect about the y-axis, only the x-coordinates reverse sign while the y-coordinates stay the same....

P'(2,-4), Q'(3,-1), R'(4,-4)

Please help; I’m stuck on this problem and can’t get past it :(

Answers

The answer is C 2X-3Y= 12

Diego says that that the product of 0.51 × 2.427 will have five decimal places. Is Diego correct? Explain.

Answers

Answer: That is true

Step-by-step explanation: You add the decimal places of both numbers that u are multiplying

Answer:

Yes DIEGO is correct

Step-by-step explanation:

My man DIEGO

What is 56/15 as a decimal rounded to the nearest tenth

Answers

Answer:

3.73

Step-by-step explanation:

56/15

3 11/15

3.73

56/15 = 3.7333333...

3.733333... —————> 3.7


Look at these expressions:
3w + 9x - 15y + 7w + 2x + 9y
9x - 8w
6w + 5y + 7x + 4x - 11y + 4w
5x + 9y
3x - 2y + 14w - 4y - 4w + 8x
2y +5w
4w + 5x – y + 6w - 16r - 5y
perimeter =
[4] How many of them are equal?
Do not factorise the answer. Can someone please help me

Answers

Answer: the first third fourth and last one

Step-by-step explanation:

If I have a black lab, then I have a dog. What is this statement called: if I do not have a dog then I do not have a black lab. HELP PLEASE

A) inverse
B) converse
C) conditional
D) contrapositive

Answers

Answer:

contrapositive

Step-by-step explanation:

The ratio of boys to girls in a class is 4: 5
a) What fraction of the class are boys?
b) What fraction of the claşs are girls?

Answers

Answer:

The fraction of a boy is 4/9

The fraction of a girl is 5/9

Hope this helps!!!!!

Adding number of boys(4 boys) and girls(5 girls) together will give the total number of pupils IN ALL therefore : 4+5=9
There are 9 pupils in all

So: Fraction of BOYS=
Num of BOYS/Total Num of pupils=
4/9. —— is the answer to (a)

AND

Fraction of GIRLS=
Num of GIRLS/Total Num of pupils=
5/9 ——is the answer to (b)

Hope it’s helpful :)) !


look for a pattern in the first three equations

Answers

Answer:

Is there a graph orrrrr?

Step-by-step explanation:

If you can answer this it would help me out so much!
A certain quadratic function has the factors (x + 3) and (2x - 1). What are the solutions of the function?
A- (0,3) and (0, -1)
B- (-1,0) and (3,0)
C- (6,0) and (-3,0)
D- (0,1/2) and (0, -3)

Answers

x + 3 = 0
2x - 1 = 0
It would be D.

Answer:

Thx for my points back that you stole

Step-by-step explanation:

What is the length of z? (Round to the nearest tenth)

Answers

Answer:

z = 10.8

Step-by-step explanation:

[tex]9^{2} + 6^{2} = c^{2}[/tex]

81 + 36 = [tex]c^{2}[/tex]

117 = [tex]c^{2}[/tex]

c = [tex]\sqrt{117}[/tex]

c = 10.8

c = z

Please help 15 points available! What is the equation of the line that is perpendicular to y - 3 x = 2 and that passes through (6,1)?
y = 1/3x - 1
y = 1/3x + 3
y = -1/3x + 3
y = -1/3x - 1

Answers

Answer:

C) y = -1/3x + 3

Step-by-step explanation:

y - 3x = 2

  + 3x   + 3x

y = 3x + 2

find the reciprocal of the slope (3) which is -1/3 so -1/3 will be the slope for the perpendicular line

y = (-1/3)x + b

now find the y-intercept (b)

(6,1) x = 6   y = 1

y = (-1/3)x + b

1 = (-1/3)6 + b

1 = -2 + b

+2  +2

3 = b

y = (-1/3)x + 3

Answe

Is c
Hope this help

I NEED HELP WITH THIS PLSS!!!

Answers

Hope this helps you out.

What is the slope of a line that passes through (-4 -13) and (19, 11)
a. 23/24
b. 24/23
c. -23/24
d. -24/23

Answers

The answer you're looking for is 24/23.

I just took the test myself and this is correct.

Seti graphed the point Three-halves and labeled that location P. Which number line shows this point? A number line going from 0 to 2 in increments of 1. There are 2 equals spaces between each number. Point P is half-way between 1 and 2. A number line going from 0 to 2 in increments of 1. There are 3 equal spaces between each number. Point P is on the mark to the left of 1. A number line going from 0 to 2 in increments of 1. There are 2 equals spaces between each number. Point P is half-way between 0 and 1. A number line going from 0 to 2 in increments of 1. There are 3 equal spaces between each number. Point P is on the mark to the right of 1.

Answers

Answer:

its D

Step-by-step explanation:

Answer:Your Answer Is (D)

Step-by-step explanation: AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA HAPPY HALLOWEEN!!!



It is known that a laptop company's average production is given by P(t) = (150t) / (3t+20), where

t is the time (in days). How many days will it take the company to produce 30 laptops?

Answers

Answer:

10 days

Step-by-step explanation:

Step one:

given that the expression for the company's average production is

[tex]P(t) = (150t) / (3t+20)[/tex]

Required:

t, when P=30

Step two:

substituting we have

30=150t/3t+20

cross multiply we have

30(3t+20)=150t

90t+600=150t

collect like terms

600=150t-90t

600=60t

divide through by 60

t=600/60

t=10 days

it will take the company 10 days

Many professional schools require applicants to take a standardized test.
Suppose that 1000 students take such a test. Several weeks after the test,
Pete receives his score report: he got a 63, which placed him at the 73rd
percentile. This means that... *
Pete scored less than about 73% of the test takers.
Pete scored less than about 63% of the test takers.
Pete scored more than about 63% of the test takers,
Pete scored more than about 73% of the test takers,
Pete's score was below the median.

Answers

Answer:

if pete placed in the 73rd percentile, this means that his score was better than 73% of the other test takers, so the fourth option: he scored more than about 73% of the test takers

Step-by-step explanation:

hope this helps :)

The meaning is Pete scored more than about 73% of the test takers.

What is data?

Data is information that has been translated into a form that is efficient for movement or processing.

Given situation:

Pete receives his score report: he got a 63, which placed him at the 73rd

percentile.

Percentile is a comparison score between a particular score and the scores of the rest of a group.

So,  73 percentile shows he had done better then 73% of people.

Hence, Pete scored more than about 73% of the test takers.

Learn more about data here:

https://brainly.com/question/15403824

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if x=3 and x-y= -3

a.4
b.6
c.5
d.10

Answers

Are you sure thats the full m question?

2.6x0.47pls help
pls pls​

Answers

Answer:

1.222

Step-by-step explanation:

Find the zero of the function: f(x) = -5x + 5

Answers

Answer:

Step-by-step explanation:

Answer: 1

Step-by-step explanation: Do math

What is the image point of (0, 2) after a translation lett 5 units and down 1 unit?

Answers

Answer: (-3, 1)

explanation: I drew a graph and translated it!

HEEEEELP PLZ WILL GIVE 30 POINTS!!!!!!!!!!

Answers

Answer=

Well first we got to convert yards and feet into inches.

21 feet=252 inches

11 yards=396 inches

Alright so now that we have the inches needed we must find the cost for both Emily and Andy’s needed wire.

Emily:

We know how much it would cost for 200 inches, which is 8$.

15 inches adds a .60$ increase, which means that 5 inches is equivalent to .20$. By adding that to .60$ we get .80$ or the amount it would cost for 20 inches. We now know how much it would cost for 40 inches, 1.60$.

8+1.60=9.60 or how much it costs for 240 inches.

If it costs .80$ for 20 inches that means it costs .40$ for 10 inches.

9.60+.40=10

To find how much it costs for 2 inches we divide .40 by 5 which is .08.

10+.08=10.08$

Emily will spend 10.08$ for her needed wire.


Andy:

We know how much it would cost for 300 inches, which is 12$.

We also know how much it costs for 20 inches, which is .80$. So we multiply that by 4 to get how much it would cost for 80 inches.

.80*4=3.20

We then add that to the cost of 300 inches.

12+3.20=15.20

We know how much it would cost for 10 inches, which is .40$.

So we add that to the amount it would cost for 380 inches.

15.20+.40=15.60

Finally we know how much it costs for 2 inches, which is .08$. So we multiply that by 3 to find how much it costs for 6 inches.

.08*3=.24

We then add that to how much it would cost for 390 inches.

15.60+.24=15.84$

Andy will spend 15.84$ for his needed wire.

Answer:

Emily pays 10.40 and Andy pays 8 dollars

Step-by-step explanation:

So let's start with Emily, she need 21 feet of wire, so we convert this to inches so; [tex]1foot=12inches\\ 21feet=(12inches)*21=252inches[/tex]  but it's not listed on the tableSo we try to find the closest approximation to 252 inches which we get by adding 100 inches and 160 inches to get 260 inchesSo Emily will pay the cost of those to lengths so 100 inches cost 4.00 dollars and 160 inches costs 6.40 dollarsso she pays 4.00+6.40=10.40 dollarsNow for Andy we do much the same and find the inches in 11 yards[tex]1 yard=36inches\\ 11yards=(36inches)*11=396inches[/tex] this is also not listedSo we get the closest approximation, which is 4 of the 100 inch wires, so we get 400 inches costing 4*4.00=8 dollars
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