A fashion designer wants to know how many new dresses women buy each year. A sample of 683 women was taken to study their purchasing habits. Construct the 95% confidence interval for the mean number of dresses purchased each year if the sample mean was found to be 4.6. Assume that the population standard deviation is 2. Round your answers to one decimal place.

Answers

Answer 1

The required confidence interval is (5.5<<5.7) for the mean number of dresses purchased each year.

As per the question, the given data as

[tex]\bar{x}[/tex] = 5.6

σ = 1.3

n = 650

The Z-critical value at the 95% confidence level is 1.960.

To determine the 99% confidence interval for the mean number of dresses purchased each year.

95% CI = [tex]\bar{x}[/tex]  ± Z(Cr)(s/√n)

⇒ -5.6 ± 1.960(1.3/√650)

⇒ 5.6±0.100

⇒ (5.500,5.700)

Round to near 1 decimal place

⇒ (5.5,5.7)

Therefore, the required confidence interval is (5.5<<5.7)

Learn more about the critical value here:

brainly.com/question/15417413

#SPJ1


Related Questions

A square postage stamp has area 1,130 mm². About how long is each side?

Answers

Answer:

33.61 mm (the square root of 1130)

Step-by-step explanation:

(2/3)^4=

am very confuse guys help!!!

Answers

Answer:

16/81

Step-by-step explanation:

Lets break it down

When you see ^4, you are multiplying the base ( 2/3 ) by itself 4 times

So lets write the equation

[tex]\frac{2}{3} *\frac{2}{3} *\frac{2}{3} *\frac{2}{3} = x\\[/tex]

[tex]\frac{4}{9} *\frac{4}{9} =x[/tex]

[tex]\frac{16}{81} =x\\x= \frac{16}{81}[/tex]

If my answer is wrong pls correct me.

If you like my answer and explanation then please mark me as Brainliest!

-Chetan K

A circle is centered on point B. Points A, C and D lie on its circumference.
If ZADC measures 62°, what does ZABC measure?

Answers

Answer:

122

Step-by-step explanation:

61 x 2 = 122 hope this helps:)

What is .66666666 as a fraction?

Answers

Answer:

2/3

Step-by-step explanation:

2 divided by 3 is 0.6666666 repeated.

Express -36/78 as a rational number with numerator 6:

Answers

Answer:

6/9

Step-by-step explanation:

Answer:

6/9 I think that's the answer

I need help on this.

Answers

Answer:

the first one

Step-by-step explanation:

find the greatest four digits number which is divisible by 12, 18 and 30​

Answers

Answer:

8100

Step-by-step explanation:

8100/12=675

8100/18=450

8100/30=270

Answer:

Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.

Step-by-step explanation:

Order the following integers from least to greatest. -4, 3, 0, -2, 1, -3

Answers

Answer:

-4;  -3;   -2;   0;  1;   3;

Step-by-step explanation:

The angle measurements in the diagram are represented by the following expressions;

Answers

Answer:

∠A=166°

Step-by-step explanation:

∠A=∠B

7x+40=3x+112

4x=112-40

x=18

∠A=7x+40=166

Omar the tent maker wishes to support a 13.4-ft tent wall by attaching 25-ft cable to the top of it, and then anchoring the cable to the ground. If the cable is pulled tight, how far from the base of the tent will it be anchored?

Answers

Answer:

21.11 ft

Step-by-step explanation:

This question would be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

13.4² + b² = 25²

179.56 + b² = 625

b² = 625 - 179.56

b = 445.44

find the square root of 445.44

b = 21.11 ft

how fast does it take a baseball to reach the plate, when pitched by a professional pitcher in baseball?

Answers

Answer:

The distance from the pitcher's hand to home plate is 60 feet, 6 inches. So…… At 100 mph the ball covers 146.7 feet per second, or 0.412 seconds to get to the batter. Less than half a second!

Emma earns $12 an hour babysitting. She wants to save at least $180. Write and solve and inequality to find the minimum number of hours she needs to work to reach her goal.

Answers

Answer:

15 hours

Step-by-step explanation:

180 ÷ 12 = 15

^-^

Can I have brainlest please?

Please help
i will give brainleist
Screen shot down below⬇⬇⬇

Answers

Answer:

ok

Step-by-step explanation:

i think its sependent variable

Solve the following equation. Express your answer as an integer, simplified fraction, or decimal rounded to two decimal places.

−7=−4w−19

Answers

7=4w+19
7-19 = 4w+19-19
-12 = 4w
-12/4 = 4w/4
-3 = w

3. David's salary is based off commission. The commission is 5% of the sales up to and including
$20,000 and 8% of the sales over $20,000 for the month. David sold $37,000 for the month.
What was his salary?

Answers

Answer:$2360

Step-by-step explanation:

37000-20000=17000

20000x0.05=1000

17000x0.08=1360

1000+1360=2360

A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?

Answers

9514 1404 393

Answer:

  the cut plane is between non-intersecting edges

Step-by-step explanation:

The cross section will be a quadrilateral when the cut plane intersects four of the six edges of the pyramid. This will be the case when the plane lies between two edges that do not intersect.

I am really confused what a mean is in math

Answers

Answer:

A mean in math is when you have a set of numbers, you add up all numbers of the set and then divide that sum by the total amount of numbers.

Example: 3,6,8,9

3+6+8+9=26

26/4 (because there is four numbers)

26/4= 6.5

So the mean of that set will be 6.5

Step-by-step explanation:

Which features are present in this polar graph?

Answers

The features that is present in this polar graph is that A. Symmetry about the polar axis θ = 0.

What is true of the polar graph?

The polar graph can be said to have a symmetry about the polar axis which means that theta or θ is equal to 0.

This is because the graph is symmetric about the x-axis. This means that all the lines of symmetry can be seen intersecting the graph at x = 0. This proves that there is indeed symmetry in the polar graph.

In conclusion, option A, θ = 0 is correct.

Find out more on polar graphs at https://brainly.com/question/22692278

#SPJ1

What does x equal? A. 4 B. 2 C. -2

Answers

Answer:

i.d.k

Step-by-step explanation:

Which pair of events is dependent?
O A. You get a head and a tail in two coin tosses with two different coins.
O B.
You get a head and a tail in two coin tosses using the same coin twice.
O C. You pick two
numbered billiard balls from a bag of balls one after the other without replacement.
O D. You draw two red cards one after the other with replacement.

Answers

Believe D wjwjammlsodiejwbwbnas

Answer:

It's option C

Step-by-step explanation:

C. You pick two numbered billiard balls from a bag of balls one after the other without replacement.

132.721 rounded to the nearest hundredth.​

Answers

132.72 is the answer

Find the magnitude of vector v with initial point (7,5) and terminal point (-3,-5).

Answers

Answer:

10√2

Step-by-step explanation:

magnitude of vector v = √Δx² + Δy² = √(-3 - 7)² + (-5 - 5)² = √(-10)² + (-10)²

magnitude of vector v = √200 = 10√2

Maria works for an international marketing consulting group. She is studying the monthly demands for Range Rover (suv) in two different cities of the country. She has 180,000 new Range Rovers to ship to the two cities, and she decides to ship 40,000 more to New York City than to Boston. Find the number of (suv) to be shipped to New York City . Please no link I can't open them

Answers

Answer:

110,000 (suv) to be shipped to New York City

Step-by-step explanation:

We know that there are 180,000 (suv) to be shipped in total. We also know that there are two cities which these (suv) must be shipped to. So, that is 180,000 (suv) to be shipped to two cities. Let's right a true equation with this information:

Let n represent the number of (suv) to be shipped to New York City and b represent the number of (suv) to be shipped to Boston.

n + b = 180,000

Now, we also know that the number of (suv) to be shipped to New York City is 40,000 greater than the number of (suv) to be shipped to Boston. So, we can write another true equation (for the sake of convenience, let's write it in terms of b rather than in terms of n):

b = n - 40,000

Now that we have a value for b in terms of n, we can plug this value into b in our first equation:

n + (n - 40,000) = 180,000

From here, we can solve:

n + n - 40,000 = 180,000

2n - 40,000 = 180,000

2n = 220,000

n = 110,000

Thus, we have our final answer.

I would appreciate Brainliest, but no worries.

What is the correct answer for this question?

Answers

Answer:

3 2/3 inches (the last one)

Answer:

[tex]maybe \: letter \: a[/tex]

A=bh, find A when b=93 and h=69 A=

Answers

Answer:

A= 6417

Step-by-step explanation:

A = bh

b = 93

h = 69

A = 93*69

Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born in May. A group of 20 friends meet monthly and celebrate the birthdays for that month. What is the probability that at the May celebration, exactly two members of the group have May birthdays

Answers

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of a person being in May:

May has 31 days in a year of 365. So

[tex]p = \frac{31}{365} = 0.0849[/tex]

Group of 20 friends:

This means that [tex]n = 20[/tex]

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773[/tex]

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Find the mean for the data set. 1600, 1800, 1205, 1360, 1205, 1135, 1895, 1400, 1955, 1710

Answers

Answer:

1526.5

Step-by-step explanation:

To find the mean...

Add all of the numbers and then divide by how many numbers there are.

1600+1800+1205+1360+1205+1135+1895+1400+1955+1710 = 15265

15265/10 = 1526.5

How are these two images the same but different?

\large x+4=9

\large x+4

Post at least 1 similarity and 1 difference.

Answers

Answer:

they both mean the same thing one dose not have = and 9 in it while the other dose.

Step-by-step explanation:

I need help with this please:

Answers

Answer:

B and C

Step-by-step explanation:

4/7 = 0.57

2/3 > 4/7

is this khan academy?

Answer:

C

Step-by-step explanation:

Because 2/5 equal .4 in decimal. .57 is equal to 4/7 and 2/3 is .666 repeating

Please the the working. A car bought for $200 and sold for $250, what was the percentage gain of the cost price?

Answers

9514 1404 393

Answer:

  25%

Step-by-step explanation:

A percentage change is calculated using the formula ...

  pct change = ((new value) - (old value))/(old value) × 100%

For your numbers, this is ...

  pct change = (250 -200)/200 × 100% = 50/200×100% = 25%

The selling price was 25% more than the cost price.

Other Questions
As Jack pulls his wagon down the street it moves faster and faster. Jill, sitting a few meters ahead on the sidewalk, wants to slow Jack's wagon down so that it travels with a constant speed. How can Jill accomplish her goal? A) Push the wagon with a force greater than Jack. B) Push Jack away from the wagon so that he is no longer pulling it. C) Pull on the wagon in the opposite direction with twice Jack's force. D) Push the wagon in the opposite direction at a constant force less than Jack. What is the perimeter, in units, of Rectangle WXYZ? what does john montagu and james thomas brudenell have in common A woman is looking up at a bird perched on top of a tree. Her line of sight to the bird is at an angle of elevation of 44. If the womans eyes are 5 feet off the ground and she is 17 feet away from tree, how far up the tree is the bird perched?Group of answer choicesA. 17.6 ftB.16.4 ftC. 21.4 ftD. 22.6 ft 2. Write the equation of the circle with a center at(-2, -8) and a radius of v10.A. (x + 2)^2 + (y + 8)^2 = 25B. (x - 2)^2 + (y 8)^2 = 10C. (x + 2)^2 + (y + 8)^2 = 10D. (x + 2)^2 + (y + 8)^2 = 100E. (x - 2)^2 + (y - 3)^2 = 100 Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using thesame rate for the cost of one hot dog, how many more hot dogs would Winston needto sell to earn a total of $175.00?Show your work. Find the surface areaPLEASE HELP! will mark brainiest Thank you :) Can somebody please help me with this ? What is the domain and the range of: (2,3), (3,5), (2,7), (4,8) which non metal is a good conductor of heat and electricity ? What is the product of 5/6 * 18/30? Be sure to simplify your answer. The answer is 113/30. break down how you get the answer 113/30 please dont use files Find the radius of a circle who's diameter is 40 ft. Park and Eleanor Steal Define a cubic polynomial and a binomial use only one variable in each). Show how to use the Vertical Method to multiply these two.pls Quick I do not wanna FAIL Which of the following were characteristics of Cubism? Use of Collage All of the Above Geometric Forms Trying to Capture the Essence of an Object, rather than how it realistically looked Fragmented Objects Multiple Perspectives 4. Which two countries use both the first-past-the-post and proportional representationSystems in elections to the lower house of the legislature.(A) Mexico and Nigeria(B) Mexico and Russia(C) Nigeria and Russia(D) Nigeria and the United Kingdom what types of government did Monroe not want in the western hemisphere y=x+16x+63plz help im confusing myself on this problem plz show work to thx for the help can someone please help me Express 1/3 as a repeating decimal and round to the nearest hundredth.