A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their purchasing habits. Construct the 80% confidence interval for the mean number of toys purchased each year if the sample mean was found to be 7.6. Assume that the population standard deviation is 1.5. Round your answers to one decimal place.

Answers

Answer 1

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.8}{2} = 0.1[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.1 = 0.9[/tex], so Z = 1.28.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.28\frac{1.5}{\sqrt{305}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.


Related Questions

For parties of six or more, a restaurant adds a 20% gratuity (or tip). If a
dinner bill for a large party comes to $148.25, find the total dinner bill with
tip.

Answers

Answer: tThe total dinner bill with  tip = $177.90

Step-by-step explanation:

Given: Dinner bill = $148.25

Tip percent = 20%= 0.20

Total dinner bill = Dinner bill + Tip percent × (Dinner bill)

Total dinner bill = $ (148.25+0.20×148.25)

Total dinner bill = $ (148.25(1.20))

Total dinner bill = $177.90

Hence, the total dinner bill with  tip = $177.90

coefficent of 6x is what
x
6
1

Answers

Answer:

X

Step-by-step explanation:

common sense

Find a formula for a geometric sequence that begins 100, 110, 121, .... ​

Answers

9514 1404 393

Answer:

  the marked choice is correct

Step-by-step explanation:

The initial term is a1 = 100. The common ratio is r = 110/100 = 1.1. The generic term is ...

  an = a1·r^(n-1)

Filling in the known parameters, we find the sequence terms sn to be ...

  [tex]\boxed{s_n=100(1.1)^{n-1}}[/tex]

Somebody please help

Answers

Answer:

5

Step-by-step explanation:

when finding a y intercept thevalue of x must be0,,,,,,when xis changed to 0the answer left is 5

What is the missing angle? Please only if you know!

Answers

Pythagorean Theorem: a^2+b^2=c^2
C^2 being the missing angle because it’s the hypotenuse( angle diagonal from the 90degree box
4^2+13^2 = c^2
16+169=c^2
185=c^2
Then square root from both sides & c = 13.6

Which of the following equations could be solved to determine the length of QR?

Answers

Answer: D

Step-by-step explanation:

Steve sold 36fruit baskets for a school fundraiser. Edie sold 25% of the number of baskets that Steve sold

Answers

Answer:

Edie sold 9 fruit baskets

Step-by-step explanation:

1
6
Drew uses container of
carpet freshener to
vacuum of his house.
If his entire house is
carpeted, at this rate,
what fraction of the
container of carpet
freshener will Drew use
to vacuum his entire
house?

Answers

Drew a lot and I’m just trying not a good thing for you and you don’t want me back in my life I’m just gonna be ok with me that I’m just trying not really mean you don’t have a problem I just want you know I’m 30$ 50$

NO FILES I WILL MARK YOU IF RIGHT I ASKED THIS FIVE TIMES ALL I GET IS SCAM FILES!!!!!!!!!!!!! PLZZZZZZ HELP

Answers

Answer:

the answer is the same as D 124 degrees

Step-by-step explanation:

Answer: The answer is 90°

Step-by-step explanation:


Pekekeekekkekemmemememsmsmsmwmwmwmwmwmwmwwmwmmwmwwmmwm

Answers

Answer:

Answer C

Step-by-step explanation:

C.

PLEASE HELP QUICK I NEED IT TO PASS

Answers

816.81
Hope this helps

254,817- 13?,125=118,692

Answers

Answer:

118,692

Step-by-step explanation:

If the base of a rectangle is 27.4 mm and the area is 420.92 mm2 what is the height of the rectangle?

Answers

Answer:

15.36mm

Step-by-step explanation:

The area of a triangle can be defined as B x H or L x H,

In your case, I'm assuming you meant base as length, so just plug into the equation:

L x H = 420.92mm2

27.4 x H = 420.92

H = 15.36

If you want to be exact, it is 15.3620438

The required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.

The base of a rectangle is 27.4 mm.
The area is 420.92 mm2.
What is the height of the rectangle is to be determined.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°. Beside of square its pair of opposide sides are named as length and width sometimes base and height according to the mentions.

The area of a rectangle is a product of is two adjacent sides i.e. length * width

Area of the rectangle = height * base
420.92 = 27.4 * height
height = 420.92/27.4
height = 15.36

Thus, the required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.

Learn more about rectangles here:

brainly.com/question/15019502

#SPJ2

solve for 5 points, will give brainlist

Answers

Answer:

i know that the first one is not equivlent but i dont know about the others

Step-by-step explanation:

There are 13 students in the class if every student in the class recycled one piece of paper each school day for the whole school year how many pieces of paper would get recycled versus go in the trash? (There are 172 school days per school year)

Answers

Answer:

dont know the answer but as i see, 13 student in class and each have 1 peice so 13 per day. you said 172 days so, 172 multiply 13 is 2236. its your answer

What is the volume of the composite figure?

Answers

Answer

180 inch² bottom / 192 inch²( top)

Step-by-step explanation:

5x3=15

15x12=180

4x4= 16

16x12=192

Help me pleaseeee!!!! PLEASEEE

Answers

Answer:multiply each side to each other

Step-by-step explanation:yea

Mina has 1/2 of a bag of popcorn. She eats half of her popcorn. How much popcorn does Mina have left?

b.1/8 of a bag

c.1 bag

c.1/4 of a bag

d.1/2 of a bag
no links k

Answers

Answer:

c.1/4 of a bag

cuz half of 1/2 is 1/4

Help me solve this on time limit

Answers

Answer:

B

Step-by-step explanation:

It’s B hope it helps

In the diagram below, BD is parallel to XY What is the value of y?
.
B
**
O A. 20
O B. 130
O C. 110
D. 70

Answers

Answer:

[tex]y =110^\circ[/tex]

Step-by-step explanation:

Given

See attachment for diagram

Required

Find y

From the attachment, 70 and y are interior angles.

So:

[tex]70 + y = 180[/tex]

Solve for y

[tex]y = 180 - 70[/tex]

[tex]y =110^\circ[/tex]

Please fill in the blanks on the math problems.

Answers

Answer:

13) a and b,  b and c

14) a = 59°, b = 121°, c = 59°

15) a = 45°, b = 135°, c = 135°

16) a = 72°, b = 108°, c = 108°

pls answer a b and c

Answers

Answer:

Given

r = 1.6 cmh = 6.2 cm

a.

Volume of the half-sphere:

V/2 = 1/2*4/3*πr³ = 2/3*3.14*1.6³ = 8.6 cm³ (rounded)

b.

Volume of the cylinder:

V = πr²h = 3.14*1.6²*6.2 = 49.8 cm³

c.

Volume of the figure:

V = 8.6 + 49.8 = 58.4 cm³

A random sample of house sizes in major city has a sample mean of

Answers

Answer:

A random sample of house sizes in major city has a sample mean of ¯x=1204.9 x ¯ = 1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft.:

PLZ HELP DUE IN 5 MIN PLZ

Answers

Answer:

39

To find the mean you must add up all of the numbers and divide by h9w many numbers there are. So in this case you would add up all of the numbers and divide by 10.

If you add up all of the numbers without including the last one you get 201. You need that number to be 240 because 240÷10=24. So the missing number is 39.

what is a solution to the inequality y>3x-9

Answers

Answer:

Many answers including (0,0)

Step-by-step explanation:

Well there is many solutions since it is an inequality, in fact there are infinite possible solutions.

One possible solution is (0,0)

Here's a graph that shows some of the possible solutions:

3a^2+6b^3 a=3 and b=2

Answers

I think it is equal to 1809.

plz, help. I need it...

Answers

Answer: (6, 3)

Step-by-step explanation:

PLEASE HELP. I REALLY NEED THIS.

Answers

Answer:

sry sry sry sry sry can't answer

A cylinder with a radius of 2 yd and a height of
3 yd.

Answers

Answer:

20 π

Step-by-step explanation:

The surface area of a cylinder is made up of 2 circles and its side.

To find the circles' areas, use the area formula for a circle: A = π.

Since our radius is 2 yd, we can substitute r = 2 into this formula.

A = π = 4π

Now remember, this is only the area of once circle. Multiply 4π by 2 to get the area of both circles: 8π.

Now we need to find the surface area of the side.

If we flatten it out, we can see that the side is actually a curled up rectangle.

The length is the circumference of the circle and the width is the height of the cylinder.

To find the circumference, use the circumference formula for a circle: C = 2πr.

Substitute r = 2 into the formula.

C = 2π2 = 4π

Now that we know that the length is 4π, we can multiply the length by the width to find the area of the cylinder's side.

l = 4π

w = 3

A = lw = 4π * 3 = 12π

Finally, we can add the areas of the circles and the side to get the total surface area.

8π + 12π  = 20π

And that is your answer!

Please mark as Brainliest! :)

The answer is 20 but mark the other dude Brainly

What distinguishes a market economy from a free-enterprise economy?
A market economy is based on set prices that businesses use to produce goods that consumers need.
A free-enterprise economy allows the government to freely regulate the quantity of items produced as supply decreases in a market economy.
A market economy is based on supply and demand, and a free-enterprise economy is based on relying on demand to produce products to make money.
In a market economy, the supply and demand of goods is determined by consumers who are free to set their own prices in a free enterprise

Answers

Answer:

Well that question could have multiple answers... one of them being set prices, and money balances. Another being product demand on goods and services. It's really your choice on what you think distinguishes these factors. There's to many opinions on this to just give one answer.

Step-by-step explanation:

Answer: It's C. "A market economy is based on supply and demand, and a free-enterprise economy is based on relying on demand to produce products to make money." Good Luck!

Step-by-step explanation:

Just took it on edge and have a screenshot

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