A quality control expert at a pretzel factory took a random sample of 101010 bags from a production run of over 500500500 bags and measured the amount of pretzels in each bag in the sample. The sample data were roughly symmetric with a mean of 450, and a standard deviation of 15
Based on this sample, which of the following is a 90%, percent confidence interval for the mean amount of pretzels per bag (in grams) in this production run?

Answers

Answer 1

Answer:

H0​:μ=440 g

Ha​:μ does not equal 440 g​

Step-by-step explanation:

kahn

Answer 2

The 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is  [441.31, 458.69] approximately.

How to calculate confidence interval for population mean for small sample?

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

Let the sample mean given as [tex]\overline{x}[/tex] andThe sample standard deviation s, andThe sample size = n, and The level of significance = [tex]\alpha[/tex]

Then, we get the confidence interval in between the limits

[tex]\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}[/tex]

where [tex]t_{\alpha/2}[/tex] is the critical value of 't' that can be found online or from tabulated values of critical value for specific level of significance and degree of freedom n - 1.

For this  case, we're provided;

The sample mean given as [tex]\overline{x}[/tex] = 450The sample standard deviation s = 15The sample size = n = 10The level of significance = [tex]\alpha[/tex] = 100 - 90% = 10% = 0.1

The critical value of t  at level of significance 0.1 iand at degree of freedom 10-1=9 is:

Thus, the confidence interval in between the limits

[tex]450 \pm 1.833 \times \dfrac{15}{\sqrt{10}}[/tex]

or

[tex]450 \pm 8.69[/tex] approximately or 441.31 to 458.69 or we write it as: [441.31, 458.69] approximately.

Thus, the 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is  [441.31, 458.69] approximately.

Learn more about confidence interval of population for small sample here:

https://brainly.com/question/13073610


Related Questions

ok sooooooo
cant you call carrot juice orange juice.

Answers

Answer:

yes cs its a orange juice

Step-by-step explanation:

Answer:

taking back the answer spot that is rightfully mine!

Step-by-step explanation:

Please help I’ll give brainliest if you answer all :)

Answers

Step-by-step explanation:

a^2 +b^2 = c^2

b^2 = c^2 - a^2

3 - solving for h

A = bh

h = A ÷h

4 - solving for r

I = prt

r = I÷ pt

5- solving for b

A= 1/2 bh

can rewrite as

A = bh ÷2

b = 2A ÷ h

Find the area of the rectangle.

Answers

Answer:

Step-by-step explanation:

the area of the rectangle is : -7y² ( -2y^4+y²-1)

14y^6-7y^4+7y²   unit

A 20-inch television screen has a width of 12 inches. What is the length of the television screen?

Answers

The answer will have to be x=16

You roll a single 6 sided die. What are the odds of rolling a 9?

A. 1/6
B. 0
C. 1/9
D. 9

Answers

Answer:

B. 0

Step-by-step explanation:

There aren't enough sides for you to roll a nine

HELPP I WILL GIVE YOU BRAINLIEST!! i think the answer is 42x + 12 but i am not sure!!

Answers

you are right because if it was perimeter u would have to add all the sides up

A cardboard box is shaped like a cube. The length of each face is 15 inches what is the volume of the box in cube inches

Answers

Answer:

3375 in³

Step-by-step explanation:

Volume of a cube = a³ ; where a = edge of the cube

Length of each face = edge of cube = 15 inches

Volume of cube = 15³

Volume of cube = 15 inch * 15 inch * 15 inch

Volume of cube = 3375 in³

2/3 x 6 need help asap​

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2/3 x 6 is 4 because when you times the 2 in 2/3 u get 12 and 12/3 is the same as 4

Can you help me please thank you

Answers

Answer:

6. 4x^2 + x - 1
7. 3x^2 + 4x + 4

Explanation:

(3x^2 + x + 8) + (x^2 - 9)
4x^2 + x - 1

(5x^2 + 8x - 2) - (2x^2 - 4x + 6)
3x^2 + 4x + 4

Pls help me I don't get it.
Pls indicate steps

Answers

I'm having trouble reading, could you type out what is on the picture? I'll edit my answer then.

Answer:

x = -3, y = 3

Step-by-step explanation:

multiply the equation 3y - x = 12 by 3:

=> 9y - 3x = 36

now add the two equation 9y - 3x = 36 and 3x + 4y = 3 together to eliminate x and solve for y:

=>    9y - 3x = 36

 +)   4y + 3x = 3

______________

       13y        = 39

=>       y         = 3

substitute y = 3 into the original equation 3y - x = 12 to solve for x:

3(3) - x = 12

=> -x = 12 - 9

=> -x = 3

=> x = -3

Calculate the volume of a cube with side lengths of 2.8 yards.

Answers

Answer:

21.952 [tex]yards^{3}[/tex]

Step-by-step explanation:

The volume of a cube is side length cubed.

So [tex]2.8^{3}[/tex] = 21.952

B. use the figur on the right side to classify the pair of Angeles.



________1.<5 and <1
________2.<6 and <3
________3.<7 and <2 ​

Answers

DON'T OPEN IT, IT WILL GIVE YOU A VIRUS!!!

Find the length of the missing side of the triangle to the nearest tenth.​

Answers

Answer:

a = 18.8

Step-by-step explanation:

With it being a right angle, you can use the pythagorean theorem equation.

[tex]a^{2} + b^{2} =c^{2} \\a^{2} + 18^{2} =26^{2} \\a^{2} +324 = 676\\a^{2} = 676 - 324 \\a^{2} = 352\\a = \sqrt{352} \\a = 18.76 = 18.8[/tex]

Could someone please help me? Thank you and explain the work because I don’t get this

Answers

Answer:

5.59 times per second.

Step-by-step explanation:

Direct variation is in the form:

[tex]y=kx[/tex]

Where k is the constant of variation.

Inverse variation is in the form:

[tex]\displaystyle y=\frac{k}{x}[/tex]

In the given problem, the frequency of a vibrating guitar string varies inversely  as its length. In other words, using f for frequency and l for length:

[tex]\displaystyle f=\frac{k}{\ell}[/tex]

We can solve for the constant of variation. We know that the frequency f is 4.3 when the length is 0.65 meters long. Thus:

[tex]\displaystyle 4.3=\frac{k}{0.65}[/tex]

Solve for k:

[tex]k=4.3(0.65)=2.795[/tex]

So, our equation becomes:

[tex]\displaystyle f=\frac{2.795}{\ell}[/tex]

Then when the length is 0.5 meters, the frequency will be:

[tex]\displaystyle f=\frac{2.795}{.5}=5.59\text{ times per second.}[/tex]

66666666 help me plz plz plz

Answers

Answer:

XY would also be 7 centimeters which is answer D.

Step-by-step explanation:

This is a parallelogram, meaning that the adjacent sides are congruent. As well, the triangles making up the figure are congruent, so it makes sense that XY would also equal 7 centimeters.

Can y’all help me?

The teacher wants me to do work but ion understand this bc Ian done school for 3 months so I’m a bit behind...

Answers

Answer:

402.1 in^2

Step-by-step explanation:

Find the area of the circle with the 18 in. radius first.

Formula for a circle is πr^2

So the area of the circle with the 8 in. radius is 1017.9 in^2

Now do the same for the 14 in. radius circle.

The area for the 14 in. radius circle is 615.8

Now subtract:

1017.9 - 615.8 =

402.1 in^2

hope this helped!

write a equation in slope intersect form for points (0,8) and (9,5)

Answers

y = mx+b

(5-8)/(9-0) = -1/3 which is m

solve point slope to find slope intercept by using one of the points (0,8)

y-y1=m(x-x1)

y-8 = -1/3(x-0)

y-8 = -1/3x

Answer: y = -1/3x + 8

what is the domain of the function

Answers

Answer:

hi sh Sheet sh I monorailg Jericho improve Odom Ybor

PLEASE HELP!!!!! (screenshot)

Answers

Answer:

The answer is A. y <= -3x + 3

it takes 6 hours to travel 372 miles. How long will it take to travel 279 miles?

Answers

Answer:

4 hours and a half. 4 hours and 30 minutes

Step-by-step explanation:

Answer:

4hrs 30 minutes

Step-by-step explanation:

6hrs = 372miles

372 ÷ 6 = 62

1hr = 62 miles

62 x 4hrs = 248 miles

You need to 279 miles. 0.5 = 30 minutes.

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

√53

Step-by-step explanation:

Use the distance formula to find the distance between the two coordinates

HELPP I WILL GIVE YIU BRAINLIEST!! i think the answer is 42x + 12 but not entirely sure!!!

Answers

Answer:

yes your answer is correct

Step-by-step explanation:

yes your answer is correct it is 42x + 12

I need help with my homework ​

Answers

Answer:

Step-by-step explanation:

1. b. Alt. Exterior angles

  a. 7x + 8 = 6x + 18

   c.    x + 8 = 18

          x = 10

   d. 6(10) + 18 = 60 + 18 = 78

       7(10) + 8 = 70 + 8 = 78

2. 15x + 10 + 12x + 8 = 180

     same side angles

   27x + 18 = 180

   27x = 162

   x = 6

15(6) + 10 = 90 + 10 = 100 degrees

12(6) + 8 = 72 + 8 = 80 degrees

3. 12x + 2 = 11x + 6

    x + 2 = 6

    x = 4

12(4) + 2 = 48 + 2 = 50 degrees

11(4) + 6 = 44 + 6 = 50 degrees

corresponding angles

     

i need help please thanks​

Answers

Answer:

33

Step-by-step explanation:

6 * 3 = 18

8-3 = h

h = 5

A = 5 * 3 = 15

Combined:

15 + 18

33

Solve the following equation for x.​

Answers

Answer:

If you just solve normally, you will get x=2 and x=-3. But if you plug these in to check your work, you will find that they are wrong. Your answer is no solution

Step-by-step explanation:

ln(2x+3)+ln(x-2)=ln(x^2-2x)

Rule: log(a) + log(b) = log(a*b)

ln( (2x+3)(x-2) ) = ln(x^2-2x)

Rule: If log(a) = log(b) then a = b

(2x+3)(x-2) = x^2 - 2x

2x^2-x-6=x^2-2x

x^2+x-6=0

Using Quadratic Formula:

x = 2 and x = -3

But, plugging these numbers back into the original equation is false!

anyone know the answer?

Answers

I legit can’t see it

Write an expression that can be used to find the length of JH and an expression that can be used to find the length of GJ.​

Answers

Answer: JH = 9 sin(35)

not sure about GH...

Step-by-step explanation:

The ratio of opposite side of the triangle hypotenuse side of triangle is equal to sine of angle.

The expression required to fine the length of GJ is,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

The length of the [tex]GJ[/tex] is 5.162 units.

What is right angle triangle?

A right angle triangle is the triangle in which measure of one of the angle is equal to the 90 degrees.

The ratio of opposite side of the triangle hypotenuse side of triangle is equal to sine of angle.

Given information-

In the given triangle shown in the figure,

[tex]\angle JGH=35[/tex]

The angle [tex]\angle HJG[/tex] is right angle, which is equal to the 90 degrees.

As the sum of all the angles of a triangle is equal to the 180 degrees. Thus,

[tex]\angle JGH+\angle HJG+\angle GHJ=180\\[/tex]

Put the values,

[tex]35+90+\angle GHJ=180\\125+\angle GHJ=180\\\angle GHJ=180-125\\\angle GHJ=55[/tex]

In the given triangle, the side [tex]GJ[/tex] is the opposite side of the triangle and [tex]GH[/tex] is the hypotenuse side of the triangle.

Thus the length of the [tex]GJ[/tex] for the right triangle can be given as,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

This is the required expression,

[tex]GJ=\sin 35\times9\\GJ=0.574\times9\\GJ=5.162[/tex]

Thus the length of the [tex]GJ[/tex]5.162 units.

The expression required to fine the length of GJ is,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

The length of the [tex]GJ[/tex]5.162 units.

Learn more about the sides of a right triangle here;

https://brainly.com/question/14517390

I NEED HELP, WILL GIVE U BRAINLIEST IF U GIVE ME ANSWER <3

Answers

Answer:

It would be the last choice. Base= 8 in; height= 3 in

Step-by-step explanation:

It gives you the measurement for the height you just have to read what the ruler says at the bottom. When does the shape stop on the ruler? That number would be the answer in this case it would be the last choice.

Answer:

i dont know lol

Step-by-step explanation:

PLEASE ASAP HELP!!! ​

Answers

The correct answer is D

The mean number of words per minute (WPM) typed by a speed typist is 119 with a standard deviation of 15 WPM. What is the probability that the sample mean would differ from the population mean by greater than 4.1 WPM if 33 speed typists are randomly selected? Round your answer to four decimal places.

Answers

Answer:

the probability that the sample mean would differ is 0.1164

Step-by-step explanation:

The computation of the probability is shown below

= 1 - P(Within 4.1 WPM)

= 1 - P( -4.1 ÷ 15÷ √3 <z < 4.1 ÷ 15÷ √3)

= 1 - P(-1.57 < z < 1.57)

= 1 - 0.8836

= 0.1164

Hence, the probability that the sample mean would differ is 0.1164

Therefore the same would be applied and relevant

Other Questions
Help me with this now before 1:05PM NO LINKS: Consider the following code segment, which is intended to display "cat".String[][] keyboard = {{"q", "w", "e", "r", "t"},{"a", "s", "d", "f", "g"},{"z", "x", "c", "v", "b"}};System.out.println(/* missing expression */);Which of the following can replace /* missing expression */ so that the code segment works as intended?A) keyboard[12] + keyboard[5] + keyboard[4]B)keyboard[13] + keyboard[6] + keyboard[5]C)keyboard[2][2] + keyboard[1][0] + keyboard[0][4]D)keyboard[2][2] + keyboard[0][1] + keyboard[4][0]E)keyboard[3][3] + keyboard[2][1] + keyboard[1][5] how a single number could be a ratio? What is the answer when you simplify it?[tex]7^{2} +2(\sqrt{81} +\sqrt{49} )[/tex] Five-sixths of the students at a nearby college live in dormitories. If 6000 students at the college live in dormitories, how many students are there in the college? can you guys help me please as much as you can ^^ How can friends and family help someone with an eating disorder Hi! i need help asap!! Explain the importance of transport in lndia Does the number of foreclosures in the early 2000s support the statement that the American economy has a free financial system? Explain why or why not. Who did Mr.__ intend to marry before marrying Celie? ( the color purple) HELPPPPPOIn a school of 500 students, a random sample of 60students are asked what their favorite subject is. Theresults are in the table. Based on this sample, howmany students in the school would we predict havemath as a favorite subject? ln an examination 25% of the candidatesfailed to obtain the past mark the numberof candidates who passed was 150.Howmanycandidates failed? If the longest side of a triangle is 12 inches, what must be true about the lengths of the remaining sides? help me plsssssssss asap PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!Which of following items is probably the most ductile?A. slice of breadB. piece of chewed gumC. wooden blocksD. piece of paper Which of the following climatic zones cannot be found in Russia?Mountain forest/ mountain steppeSteppeTemerate forestTropical rainforestTaigaTundra A cell phone company charges a one-time activation fee, as well as a monthly service charge for a cell phone plan with unlimited minutes and data. The total cost is modeled by the function C(x) = 99 + 85x. Which statement represents the meaning of the function?A. C(x) is the total cost, xis the number of months of service, $85 is the one-time activation fee, and $99 is the service charge per month.B. C(x) is the total cost, x is the number of months of service, $99 is the one-time activation fee, and $85 is the service charge per month.C. x is the total cost, C(x) is the number of months of service, $99 is the one-time activation fee, and $85 is the service charge per month.D. x is the total cost, C(x) is the number of months of service, $85 is the one-time activation fee, and $99 is the service charge per month. Please help Ill give brainliest Which two sentences from the passage suggest that children or young adults are the intended audiences?A. They also collect samples of air from specific places and then analyze these samples in a laboratory. B. These cores show that the atmosphere had less carbon dioxide in the past. C. You can also talk to your family about switching to green energy. D. Planning now will help keep societies healthy and strong.E. Everyone uses energy, and everyone can be part of the solution!PLEASE REMEMBER IT'S 2 ANSWERS!!!