A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in each can is 0.12 ounce. The machine is overhauled with new components, and ten cans are filled to determine whether the standard deviation has changed. Assume the fill amounts to be a random sample from a normal population.



Perform a hypothesis test to determine whether the standard deviation differs from 0.12 ounce. Use the level of significance.

Answers

Answer 1

Answer:

[tex]\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54[/tex]

The degrees of freedom are:

[tex] df=n-1=10-1=9[/tex]

Now we can calculate the p value using the alternative hypothesis:

[tex]p_v =2*P(\chi^2 >13.54)=0.279[/tex]

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

Step-by-step explanation:

Assuming the following data:"12.14 12.05 12.27 11.89 12.06

12.14 12.05 12.38 11.92 12.14"

We can calculate the sample deviation with this formula:

[tex]s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

[tex]n=10[/tex] represent the sample size

[tex]\alpha=0.05[/tex] represent the confidence level  

[tex]s^2 =0.0217 [/tex] represent the sample variance

[tex]\sigma^2_0 =0.12^2= 0.0144[/tex] represent the value to verify

Null and alternative hypothesis

We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:

Null Hypothesis: [tex]\sigma^2 = 0.0144[/tex]

Alternative hypothesis: [tex]\sigma^2 \neq 0.0144[/tex]

The statistic can be calculated like this;

[tex]\chi^2 =\frac{n-1}{\sigma^2_0} s^2[/tex]

[tex]\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54[/tex]

The degrees of freedom are:

[tex] df=n-1=10-1=9[/tex]

Now we can calculate the p value using the alternative hypothesis:

[tex]p_v =2*P(\chi^2 >13.54)=0.279[/tex]

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces


Related Questions

Find the X-intercept of the function represented by the graph?

Answers

Answer:

I would think 28

I may be wrong but y'know

Why 28?

well it's going to touch a box every 8 boxes and 28 is the only one with 28

I hope this is right sorry if it's not.

A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.
What is the probability of landing on an even number? (Write your final answer as a percentage.)



P(event) =

Answers

Your answer is 50% because 2 and 4 are the only even numbers
The answer would have to be 50% because there are only two even numbers; 2 and 4

Can someone answer this question?

Answers

Answer:

You're correct, it's 7.5!

Step-by-step explanation:

15% is still 15/100. So, if you to divide 100 by 2 to convert it to 50, then you divide 15 by 2 as well! And the answer to that is 7.5.

SOS I NEED ANSWER RIGHT NOW SOMEONE PLEASE HELP ME :(

Answers

Answer:

The functions share a y intercept of -1

Step-by-step explanation:

Both functions cross the y axis and y=-1 and x=0

They both have the same y intercept

What is the volume of this right triangular prism?

Answers

Answer:

To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume.

Step-by-step explanation:

Answer:

LXWXH

Step-by-step explanation:

Stacey bought a box of cookies that match the dimensions of the solid below. How many square units of cardboard were used to construct the box? If your solution is not a whole number round to the nearest tenth.

Answers

Final answer:

To calculate the number of square units of cardboard used to construct Stacey's cookie box, we need the box's dimensions to find the surface area. If the box were similar to a 9x9x4 inch doughnut box mentioned in the examples, the calculation would result in 306 square inches. Without the exact dimensions, we use the formula for surface area and round to the nearest tenth if necessary.

Explanation:

To determine how many square units of cardboard were used to construct Stacey's cookie box, we need to calculate the surface area of the box. However, the question does not provide the exact dimensions of the solid, so let's assume that we have the length, width, and height of the box. Then, the surface area of the box can be calculated as twice the sum of the length times width, length times height, and width times height (2(lw + lh + wh)).

As an example, if the box had dimensions of length (l), width (w), and height (h), and let's say that l=9 inches, w=9 inches, and h=4 inches, similar to the doughnut box mentioned in the provided information, the surface area would be:

Surface area = 2(lw + lh + wh) = 2(9*9 + 9*4 + 9*4) = 2(81 + 36 + 36) = 2*153 = 306 square inches

Now, if Stacey's cookie box has different dimensions, you would plug those values into the surface area formula instead. If the calculated surface area is not a whole number, the question advises to round to the nearest tenth.

9+9-4-123456-5431-87+0-6=5 x 3
answer please!!!!1

Answers

Answer:

-177,856 does not equal 15

-177,856=15

Plz answer with explanation will give brainliest

Answers

Answer:

B: |8| + (-7)

Step-by-step explanation:

When you are looking for the distance between two numbers, always add. The distance between 8 and -7 is 15 (|8| = 8). If, for instance, the answer was negative, which it is now, just find the absolute value of -15 which equals 15. The answer is B.

The triangle shown below has an area of 444 units^2


2


squared.


Find the missing side.



i need this rn

Answers

Where’s the picture so I can help?

Answer:

2 units

Step-by-step explanation:

First, let's set up an equation using the formula for the area of a triangle.

Then, see the attached photo on how I did it.

The answer: x = 2 units

Explain how you would estimate the area of the figure below.
(Each square represents 1 square foot)

Answers

Answer:

29

Step-by-step explanation:

1/2+1+1+1+1/2=4

1/2+1+1+1+1+1/2=5

1/2+1+1+1+1+1/2=5

1/2+1+1+1+1+1+1+1/2=7

1+1+1+1+1+1+1+1=8

8+7+5+5+4=29

15+10+4=29

25+4=29

29=29

an Exothermic reaction _____ Energy

Answers

Answer:

An exothermic reaction releases energy

Step-by-step explanation:

Answer:

releases

Step-by-step explanation:

Answer for Founder's Education/Educere

Brahmagupta’s solution to a quadratic equation of the form ax2 + bx = c involved only one solution. Which solution would he have found for the equation 3x2 + 4x = 6? x = x = x = x =

Answers

Answer:

A on edg.

Step-by-step explanation:

A radioactive element has a half-life of 5,750 years. Archeologists determined a relic had lost 25.5% of this element at the time it was found. How old is the relic? (Two steps)

Answers

Answer:

2441.95 years

Step-by-step explanation:

We can model this exponencial function as:

P = Po * (1+r)^(t/n)

Where P is the final value, Po is the inicial value, r is the rate, t is the time and n is the period of half-life.

In this case, we have that P/Po = 100% - 25.5% = 74.5% = 0.745, r = -0.5 and n = 5750, so we have that:

0.745 = (1 - 0.5)^(t/5750)

Step 1: log in both sides:

log(0.745) = (t/5750) * log(0.5)

Step 2: isolate t

t = 5750*log(0.745)/log(0.5) = 2441.95 years

1.17 − 0.07a + (−3.92a) What is this ????

Answers

Answer: 17-3.99a

Step-by-step explanation:

Remove parentheses.

17- 0.07a- 3.92a17−0.07a− 3.92a

Collect like terms.

17+(−0.07a−3.92a)

Simplify.

17−3.99a

pls help! will give brainlist!

what is the value of x?

a. 60 degrees
b. 50 degrees
c. 40 degrees
d. 70 degrees

Answers

Answer:

A. 60°

Step-by-step explanation:

There's a very straight-forward explanation for this, thank god! XD

For this type of problem, there's a rule to follow for the outside angle. X and 120 should equal 180, so all you need to do is fill that gap.

180-120 = 60

60 is your answer because it completes the whole angle.

NEED HELP PLEASE: The pyramid shown has a regular hexagon as a base. What is the literal area of the pyramid?

Answers

Answer:

864cm squared

Step-by-step explanation:

Formula for Lateral Area:

Lateral Area=1/2* (Perimeter of the Base)*Height

The Perimeter of the Base = 72cm

Height = 24

Answer = 1/2* 72* 24

Answer = 864cm squared

D is the answer for this problem

i think its b but please help!! if you do help me with the other ones plz im lowkey slow

Answers

Answer: C

Step-by-step explanation:

4 * 2=  8

4 *2 = 8

6 * 1 = 6/2 = 3

6 *1 = 6/2 =3

6* 2 = 12

12 + 3 +3 +8 +8 = 34

A girl and a boy each randomly grab a piece of candy from a bowl containing 9 pieces of chocolate, 7 fruit chews, 9 lollipops, and 9 peppermints. Find the probability that both events A and B will occur. Give your answer a reduced fraction.

Event A: A girl grabs a lollipop

Event B: A boy grabs a fruit chew

Answers

Step-by-step explanation:

Answer: event a: 11

Event b: 4

Step-by-step explanation:

Since There are 44 cans in total, Event Will get 11 candies and event b Will get 4 candies.

Please answer correctly !! Will mark brainliest !!!

Answers

Answer:

no, because in a function, the input is paired or has only one output, but here 20 is paired to both 40 and 42, which doesn't make it a function.

how many ways can erik mina and roger stand in line?

Answers

Answer:

6

There are three people, so 3x2x1 is 6

Erik could stand in all three spots, Mina could stand in two of the available spots, and then there's only one left for Roger

Even if you flip the characters around, it's still 6

If it helps to draw it so you can visually see it, that would be a great idea

:)

Approximately what are the zeros of this parabola?

Answers

Answer:

The zeros are approximately -1.65 and 3.65.

Approximately -2 and 4.

A ribbon that is 22 3/4 inches long has to be divided into 7 equal pieces

Answers

Answer:

each piece will be 3 1/4 inches

Step-by-step explanation:

22 3/4 can be rewritten as 91/4. to divide, you use keep, change, flip (keep the first fraction, change the sign, and flip the second fraction) . u will end up with 91/4 times 1/7, which is 91/28 or 3 1/4

Each piece of ribbon will be 3(1/4) inches.

What is expression?

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

[tex]22\dfrac{3}{4}[/tex]

This expression can be rewritten

[tex]\dfrac{88+3}{4} = \dfrac{91}{4}[/tex]

Since ribbon has to be divided into 7 equal pieces

[tex]\dfrac{\dfrac{91}{4}}{7}[/tex]

[tex]\dfrac{91}{4} \times\dfrac{1}{7}[/tex]

[tex]\dfrac{91}{28} = \dfrac{13}{4}[/tex]

[tex]3\dfrac{1}{4}[/tex]

Learn more about expression here:

brainly.com/question/13947055

#SPJ2

Determine the intercepts of the line.

Answers

Answer:

see explanation

Step-by-step explanation:

To find the x- intercept, where the line crosses the x- axis, let y = 0 in the equation and solve for x, that is

11x + 6 = 0 ( subtract 6 from both sides )

11x = - 6 ( divide both sides by 11 )

x = - [tex]\frac{6}{11}[/tex] , thus coordinates of x- intercept are

( - [tex]\frac{6}{11}[/tex], 0 )

To find the y- intercept, where the line crosses the y- axis, let x = 0 in the equation and solve for y, that is

y = 11(0) + 6 = 0 + 6 = 6, thus coordinates of y- intercept are

(0, 6 )

A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 11 feet. The width of the floor is 4 feet less than the length. It will have a stage and a closet, and the remaining area of the floor will be painted. The dimensions are shown in the diagram: rectangle with length of x ft and width of x minus 4 ft, right triangle inside labeled stage with height of x minus 4 ft and base of 8 ft, rectangle inside labeled closet with length of 7 ft and width of 3 ft, the rest of the rectangle is labeled floor Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A). A = x(x − 4) − (8)(x − 4) − 3(7) A = x(x − 4) + (8)(x − 4) + 3(7) A = x(x − 4) + 0.5(8)(x − 4) + 3(7) A = x(x − 4) − 0.5(8)(x − 4) − 3(7)

Answers

Answer:

A = x(x − 4) − 0.5(8)(x − 4) − 3(7)

Step-by-step explanation:

x = length, making the width (x-4)

The stage closet will be (x-4)(8)(1/2)

The rectangle is 7(3)

That makes the painted area x(x-4) - 4(x-4)

So...

A = x(x − 4) − 0.5(8)(x − 4) − 3(7)

The printed area of the theater room is x(x − 4) − 0.5(8)(x − 4) − 3(7). Then the correct option is D.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 11 feet.

The width of the floor is 4 feet less than the length.

It will have a stage and a closet, and the remaining area of the floor will be painted.

Let, the length be x

Then the width will be (x - 4)

Then the stage closest will be

[tex]\dfrac{8(x- 4)}{2} \Rightarrow 4(x-4)[/tex]

The rectangle is 7(3)

The painted area will be given as

[tex]\rm x(x-4) - 4 (x-4)[/tex]

Then we have

[tex]\rm area = x(x - 4)- 0.5(8)(x - 4) - 3(7)[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

Sonya wrote each letter of LEDBETTER on a separate index card and put the cards in a box. She picked one letter at random, put the card back, and then repeated the experiment. If she performed this experiment 90 times, which is the best prediction for the number of times that Sonya would pick a T?

Answers

Answer: 20

Step-by-step explanation:

Given, Sonya wrote each letter of LEDBETTER on a separate index card and put the cards in a box.

Total letters = 9

Number of times T appeared = 2

Thus, if we pick one card , the probability of getting card with T would be :-

[tex]\dfrac{\text{Number of times T appeared}}{\text{Total letters}}\\\\=\dfrac{2}{9}[/tex]

If she performed this experiment 90 times, then the best prediction for the number of times that Sonya would pick a T would be :

90 x ( probability of getting card with T)

[tex]=90\times\dfrac{2}{9}=10\times2=20[/tex]

Hence, the the best prediction for the number of times that Sonya would pick a T = 20.

Which expressions best represents the area of the rectangle

Answers

Answer:

4x

Step-by-step explanation:

(7 * 10-5) (5 x 10-) =

x 10​

Answers

Have you learned PEMDAS? (Parenthesis, exponents, multiplication, division, addition, subtraction). That is what I am going to do here.

The first parenthesis, let's solve. 7*10=70-5=65

The second parentheisis: I am assuming the negative sign is a typo, and this answer will be off if it is not. Sorry. 5*10=50

65*50=3250

I hope this helps, and let me know if you need further assistance.

a sound wave has a frequency of 627 hz and a wavelength of 3.25 m. what is the speed of the wave?​

Answers

Answer:

2037.75m/s

Step-by-step explanation:

To calculate the speed of a wave, you need to multiply the wavelength by the frequency. In this case, 627*3.25=2037.75m/s. Hope this helps!

Final answer:

The speed of a sound wave with a frequency of 627 hz and a wavelength of 3.25 m is calculated using the formula v = f λ, where v is the speed, f is the frequency, and λ is the wavelength. Multiplying the given frequency and wavelength gives a speed of 2037.75 m/s for the sound wave.

Explanation:

The speed of a sound wave is calculated by multiplying its frequency by its wavelength using the formula v = f λ, where v is the speed of the wave, f is the frequency, and λ (lambda) is the wavelength.

Given that the frequency of the sound wave is 627 hz and the wavelength is 3.25 m, we can substitute these values into the formula to find the speed:

v = 627 hz × 3.25 m

Now, let's perform the multiplication to solve for v:

v = 2037.75 m/s

Therefore, the speed of the sound wave is 2037.75 meters per second.

please help means a lot will mark brainlist

Answers

Answer:

The correct one is the one that you have clicked on already.

Step-by-step explanation:

I agree with her she is right you are correct

NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!! First one who help will be marked brainliest

Answers

the answer is: 26.50
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