A sample of 29 boxes of cereal has a sample standard deviation of 0.81 ounces. Construct a 95% confidence interval to estimate the true standard deviation of the filling process for the boxes of cereal.
a. ( 0.427,1.144)
b. (0.515,1.105)
c. (0.726,0.726)

Answers

Answer 1

Answer:

The 95% confidence interval is   [tex]0.6428 < \sigma < 1.0954[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 29

    The sample standard deviation is [tex]s = 0.81[/tex]

  Generally the 95% confidence interval to estimate the true standard deviation  is mathematically represented as  

                      [tex]\sqrt{\frac{(n- 1)s^2 }{ X^2_( \frac{\alpha }{2 } , n-1)} } < \sigma < \sqrt{\frac{(n- 1)s^2 }{ X^2_(1- \frac{\alpha }{2 } , n-1)} }[/tex]

Generally from the  chi -distribution table  the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of  [tex]df = 29 - 1 = 28[/tex]  is  

            [tex]X^2 _{\frac{\alpha }{2} , 28 } =44.46079184[/tex]

Generally from the  chi -distribution table  the critical value of [tex]1 - \frac{\alpha }{2}[/tex] at a degree of freedom of  [tex]df = 29 - 1 = 28[/tex]  is  

             [tex]X^2 _{(1 - \frac{\alpha }{2}) , 28 } = 15.30786055[/tex]

So

                 [tex]\sqrt{\frac{(29- 1)0.81^2 }{ 44.46079184 } } < \sigma < \sqrt{\frac{(29- 1)0.81^2 }{15.315.307860551 }[/tex]

=>              [tex]0.6428 < \sigma < 1.0954[/tex]


Related Questions

plz help me im struggling hard​

Answers

Answer:

0.20 × 65 is what you would do for the second

Step-by-step explanation:

btw listen to yungblud

Note that the cost for the rent is a function of the amount of the miles you drove. Let's call that [tex]C(m)[/tex].

Also note that the amount you pay will linearly increase, in other words, the increase in cost will always be the same for each mile. This tells us that our function is indeed a line, a first order polynomial of the form [tex]C(m) = am+b[/tex]

What would happen if you were to rent a truck and not drive it at all? You would pay only the one-time fee.

Therefore, [tex]C(0)=55[/tex]

So, [tex]C(m) = am + 50[/tex]

The cost will increase by $0.20 for each mile, wich tells us that [tex]a=0.20[/tex]

Finally, our expression is [tex]\boxed{C(m) = 0.2m+55}[/tex]

If we want to know how much would you pay if you drove 65 miles, we want to know what [tex]C(65)[/tex] is.

By plugging [tex]m=65[/tex] in the expression, we get

[tex]C(65) =68[/tex]

So you would pay $68

What is the length of the line segments with endpoints (-9,5) and (12,5)

A. 12

B. 9

C. 21

D. 10

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Ms. Hartt burns 300 calories when she runs for 1 hour. If Ms. Hartt runs 5 hours in a week how many calories would she burn?

Answers

Answer: If Ms. Hartt burns 300 calories in 1 hour, and runs 5 hours in a week, she burns 1,500 calories in a week.

Explanation: 300 x 5 = 1,500

-19 + 4k - 15k - k -9

Answers

Answer:

Let's simplify step-by-step.

−19+4k−15k−k−9

=−19+4k+−15k+−k+−9

Combine Like Terms:

=−19+4k+−15k+−k+−9

=(4k+−15k+−k)+(−19+−9)

=−12k+−28

Answer:

=−12k−28

Step-by-step explanation:

Conic section

For questions 10 - 11, solve each system. In your work, identify the shape of the graph of each
equation. (5 points each)
(7y2 + x2 = 64
10.
x+y = 4

Answers

Answer:

Step-by-step explanation:

7[tex]y^{2}[/tex]+[tex]x^{2}[/tex]=64x+y=4

First, we isolate the variable on the second equation so that we can have an x solution to plug in:

x=-y+4

Now, we plug this in to the first equation:

[tex]7(-y+4)^{2} +(-y+4)^{2} =64[/tex]

We can now put the 7 into the parentheses and then square root the equation:

[tex]\sqrt{(-7y+28)^{2}} +\sqrt{(-y+4)^{2}} =\sqrt{64}\\-7y+28-y+4=8\\-8y=40\\y=-40[/tex]

We then plug this in to the original equation to find x

[tex]x+-40=4\\x=-36[/tex]

This means y=-40 and x=-36. I believe that's what you were asking. Let me know if it is something else

Solve for g: 19 > 2(g + 7.9).

Answers

Answer: g < 1 3/5

Step-by-step explanation:

first, i removed the parentheses.

19 > 2g + 15.8

then, i moved the terms.

-2g > 15.8 - 19

the, i calculated that.

-2g > -3.2

finally, i divided both sides.

g < 1.6

the alternative form is g < 1 3/5

(basically, the second answer)

Find the Values of X and Y in the diagram. PLZ HELP

Answers

Answer: x is 47, y is 75

Step-by-step explanation:

What is the answer for 2m + 3m + 8 + 6

Answers

Answer:

5m+14

Step-by-step explanation:

(EASY) Which best describes the relationship between the lines?

Answers

Perpendicular. Also if it’s “easy” then maybe try to do it.

A proportional relationship between y and x When x5, ym
What is the constant of proportionality, K?
Enter your answer as a simplified or improper fraction in the box
k -

Answers

Answer:

-7/5

Step-by-step explanation:

Answer:

-7/5

Step-by-step explanation:

9 correct : 15 questions = 45 correct: q questions
please help me ​

Answers

Answer: it should be 75

Step-by-step explanation:

9 times 5 is 45 so 15 times 5 should be 75

Select ALL the terms that are like 5b2

.
Question 4 options:


12b2



5


5b


10b2

Answers

Answer:

12b2 10b2

Step-by-step explanation:

Last month you spent ​$30 on clothing. This month you spent 150​% of what you spent last month. Set up a proportion to model this situation. How much did you spend this​ month?
You spent ​$*blank* this month.​

Answers

Answer:

$45

Step-by-step explanation:

x=1.5(30)

x=45

Miguel ate 1/4 of a pizza in 1/2 of an hour. How much pizza will Miguel eat in one hour?

Answers

Answer:

he will eat 2/4 or 1/2 in 1 hour

Step-by-step explanation:

$43 shirt; 6% tax Please Help!!

Answers

Answer:

tax is 2.58

Step-by-step explanation:

Answer:

.06 times 43 is $2.53 in tax

Step-by-step explanation:

What number is 16% of 46

Answers

Answer: 7.36

Step-by-step explanation:

16/100 = 0.16

0.16 * 46 = 7.36

Thayne's credit card bill is $766.85. This includes his charges and interest. If the new charges are $559.45 more than the interest, find the amount in charges and the amount in interest.

Answers

Answer: The answer is 207.4 for the interest

Step-by-step explanation:

766.85 - 559.45= 207.4

The answer 207.4 is the amount of interest on Thayne's credit card bill.

How to solve

We can find this answer by subtracting the amount of charges from the total bill amount.

Total bill amount = $766.85

Amount of charges = $1118.9

Amount of interest = $766.85 - $1118.9 = $207.4

Read more about Amount of charges here:

https://brainly.com/question/25922783

#SPJ2

Santa has many toy to deliver on elm street. If there are 48 kids that live on elm street and 12 of them are boys, what is the ratio of girls to boys ?

Answers

Answer:

36 to 12

Step-by-step explanation:

subtract 12 from 48 an you get 36 girls

what is the common ratio for the geometric sequence 32,8,2,1/2?

Answers

The answer you will be dividing by is 4. hope this helps

can someone help me on this

Answers

Answer:

1) Reflections just change the signs of the coordinates, so (1.5, -2) and (-1 and 1/2, 2) are reflections of each other. Also (1.75, -4) and (-1 and 3/4, 4)

2) From left to right: -1.75, -3/4, 1/4, 0.75, 1 and 1/2.

Remember that each 1/4 = 0.25, so this could help you work out fractions and decimals.

Answer:

First question answer: D  Second Question answer: (lowest to highest) -1.75, -3/4, 1/4, 0.75, and 1 1/2

Step-by-step explanation:

8 times the difference between a number and 6 is equal to 4 times the number.
What is the number?
OA. 12
OB. 4
OC. 16
OD. 48

Answers

Answer:

it's either A (12) or B(4) but I think it's 12

Step-by-step explanation:

if we make it into an equation, we get

8(x-6)=4x

8x-48=4x

-48=-4x

-12=-x

x=12

the reason why it might be 4 as well is if we switch the order

8(6-x)=4x

48-8x=4x

48=12x

x=4

So both of those could be correct, but I'm thinking that because they said between a number and 6, then x goes first, so therefore, I think it is 12

what 0.05% in as a decimal and a mixed number in simplest form

Answers

deimal: 0.05% / 100 = 0.0005

mixed number: 5/10000

PLS HELP WILL GIVE BRAINLIEST
How can parents that dont have a O blood type still have a O blood type baby???

Answers

Answer: While a child could have the same blood type as one of his/her parents, it doesn’t always happen that way.

Step-by-step explanation:

For example, parents with AB and O blood types can either have children with blood type A or blood type B. These two types are definitely different than parents’ blood types!

Please explain the relationship between a hypothesis and an experiment.

Answers

Answer:

A hypothesis is "is a suggested solution for an unexplained occurrence that does not fit into current accepted scientific theory. The basic idea of a hypothesis is that there is no pre-determined outcome.". And an experiment is "is defined as to try out something new or to test a theory. An example of experiment is when you try out a new hair style. An example of experiment is when you use test tubes and chemicals in a lab to complete a project and to try to better understand chemical reactions.".

How do I solve this?

Answers

Answer:

The answer is 7.5

Step-by-step explanation:

3x+18=9x−27

3x+18−9x=9x−27−9x

−6x+18=−27

−6x+18−18=−27−18

−6x=−45

−6x /−6 = −45 /−6

x =  15 /2  which is equal to 7.5 as a decimal.  

HEEELPPPPP PPLS The second side of a triangle is 8 inches less than the first side. The third side is 14 inches more than the first side. The perimeter of the triangle is 78 inches. Find each side of the triangle.

Answers

Answer: ):

Step-by-step explanation:

Answer:

second side is 16

third side is 38

Step-by-step explanation:

x + (x - 8) + (x + 14) = 78

3x + 6 = 78

3x = 78 - 6

3 x = 72

x = 72/3

x = 24

24 + (24 - 8) + (24 + 14) = 78

24 + 16 + 38 = 78

Meg's Bakery sells the following items.
• one cinnamon roll for $2.50 or four for $10.00
• one pie for $12.50 or two pies for $22.00
• a dozen brownies for $9.00
A. Determine if there is a proportional relationship between cinnamon rolls and the cost of cinnamon rolls. If there is determine the unit rate.

Answers

Answer:

it is $2.50 multiplied by 4

Step-by-step explanation:

this is because for every 1 cinnamon roll it is $2.50 and if you multiply that by 4 you get $10, or how much it costs for 1 roll

What are the measures of jK andKIJ?
Measure of jk =
Measure ofKIJ=
116°
70°

ANWSER
JK=104°
KIJ=52

Answers

Answer:

JK=104°

KIJ=52

Step-by-step explanation:

The measures of the arc JK and angle KIJ of the given inscribed triangle are; Arc JK = 104° and  ∠KIJ = 52°

What is the measure of the angles?

We have been given the arc KI = 116°, so we can find the angle KJI by intercept property.

Angle KJI = arc KI/ 2

Thus;

Angle KJI = 116°/2

Angle KJI = 58°

Now by angle sum property of a triangle, we get:

∠ K + ∠ I + ∠ J = 180°

70° + ∠I + 58° = 180°

∠I = 52°

By using intercept formula, we get arc KJ;

∠JIK = arc JK/ 2

2(∠ JIK) = arc JK

2(52°) = arc JK

arc JK = 104°

Read more about measure of angles at; https://brainly.com/question/14362353

Samira used the calculator to find 254.3 × 2.5. Which statement best describes her work? Samira is correct. Samira is incorrect. The calculator should not give an answer that includes a decimal point. Samira is incorrect. The correct answer should only be about twice as much as 254.3, and the number on the screen is much larger. Samira is incorrect. The answer on the screen is not large enough to be the correct answer.

Answers

Answer:

A samira is correct

Step-by-step explanation:

Because she did her own expression right, now she has to solve

Answer:

the answer is c

Step-by-step explanation:

I used a caculator

can u pls help me with this question ​

Answers

Answer:

5

Step-by-step explanation:

Let me know if I am wrong

Other Questions
What was the reason the concept of Manifest Destiny emerged in the 1840s Which of the following inequalities matches the graph? (1 point)-10-0101. x>-32. x-34. y John investigated the properties of two minerals and recorded his observations:Feldspar is gray, dull, and breaks apart when it is rubbed.Quartz is purple, glassy, and leaves a white streak when rubbed against a streak plate.What observations show evidence about the luster of the two minerals? (2 points) aFeldspar is dull, while quartz is glassy. bFeldspar is gray, while quartz is purple. cFeldspar breaks apart when it is rubbed, while quartz does not. dQuartz leaves a white streak when rubbed, while feldspar does not.Question 11 (2 points) PLEASE HELP, TWENTY POINTS PLUS BRAINLIESTWrite an explicit function to represent the following sequence.3,9, 27, 81,... How do major scales typically sound to our ears?SadScaryBusyHappy Its time to lock down the design details for the redesigned Brick and Egyptian candles. Because of manufacturing constraints, the base length for each candle has to be at least 2 cm and can be no more than 10 cm. Make a recommendation for the base dimensions of each candle. Explain how you determined your base dimensions. Your reasoning does not have to be all math related. Scientists have names for more than 30 types of snow crystals. From acetic acid how to get formic acid ? Which inequality represents all values of x for which the product below isdefined?please help very confused eden find this and help me Can someone please tell me how to skip Edge nuity. I am really behind and the deadline tomorrow it the videos take too long. Which statement best completes the diagram?causeRain forest land is poor for farming>>>>Effect ?A. Foreign countries have taken over rainforest land to make it more profitableB. Brazil's government pays Farmers to encourage them to farm in the rainforestC. people need to keep cutting down trees to make money in the rainforestD. indigenous groups have been forced to close down their rainforest farms PLEASE HELP!!!!What did the North American Free Trade Agreement lead to among the signatory states? A. a decrease in foreign investment in industry B. the adoption of a common currency C. an increase in economic cooperation D. the regulation of natural resource extraction the first question please! A Hunkpapa Lakota leader who led hispeople during years of resistanceagainst United States governmentpolicies. If a link is removed or destroyed in the food chain of a biome, the chain will be disrupted.True or FalsePlz hurry There is a proportional relationship between time in hours and time in days.A. What is the constant of proportionality?B. what equation describes this relationship? in a cookie recipe 1 and 2/3 cups milk makes 16 cookies. How many cups of needed to make 24 cookies QUESTION 2 Which is a visual text feature?a glossarya photographan indexa heading WILL GIVE NRAINEST TO WHOEVER SOLVES IT CORRECTLY AND FASTWhat is a nation-state? (4 points) a A region that is part of a country with citizens from different places b A country ruled by an elected prime minister and a parliament c A kingdom that is part of a union that is led by a senate and president d A geographic area whose citizens have a shared culture and history