A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 403 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 10 bag sample had a mean of 411 grams with a variance of 121. Assume the population is normally distributed. Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Answers

Answer 1

Answer:

There is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Step-by-step explanation:

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 403 gram setting.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 403[/tex]

Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled:

This means that at the alternate hypothesis, we are testing if the mean is different than 403, that is:

[tex]H_{a}: \mu \neq 403[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Value of 403 tested at the null hypothesis:

This means that [tex]\mu = 403[/tex]

A 10 bag sample had a mean of 411 grams with a variance of 121.

This means that [tex]n = 10, X = 411, \sigma = \sqrt{121} = 11[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{411 - 403}{\frac{11}{\sqrt{10}}}[/tex]

[tex]z = 2.3[/tex]

Pvalue:

Testing if the mean is different of a value, and z positive, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.3

Looking at the z-table, z = 2.3 has a pvalue of 0.9893

1 - 0.9893 = 0.0107

2*0.0107 = 0.0214

0.0214 > 0.01, which means that there is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled


Related Questions

What is the area of the triangle in the diagram?

Answers

theres no diagram given

8 Jacob wrote the expression shown.
10:5+ 4(72-6)
What do these parentheses indicate in the expression?
F.Divide 10 by 5 before adding 4
G.Multiply 4 by 72 before subtracting 6
H.Add 5 and 4 together before subtracting 6 from 72
J.Subtract 6 from 72 before multiplying by 4

Answers

You can download answer here

tinyurl.com/wpazsebu

the measures of the angles of a triangle are shown below. solve for x ​

Answers

Step-by-step explanation:

60°+(7x-12)°+90° = 180°. (angle sum property of triangle)

(7x-12) + 150° = 180°

(7x-12) = 180° - 150°

7x-12 = 30°

7x = 30 + 12

7x = 42°

x = 42°/7

x = 6°

Help asappppp !!!!!!!!

Answers

Answer:

None

Step-by-step explanation:

2(x + 10) - 17 = 2x - 2

simplify:

2x + 20 - 17 = 2x - 2

2x + 3 = 2x - 2

subtract 3 from both sides of the equation:

2x = 3x -5

no solution

Wayne plans to make a nut mixture in the weight ratio 1:2:5, containing cashows, almonds, and pecans, respectively. Which situation represents the function f() = 2p?


O the number of pounds of almonds Wayne needs, if he plans to use p pounds of cashews
O the number of pounds of cashews Wayne needs, if he plans to use p pounds of almonds
O the number of pounds of almonds Wayne needs, if he plans to use p pounds of pecans
O the number of pounds of pecans Wayne needs, if he plans to use p pounds of almonds​

Answers

Answer:

the number of pounds of cashews Wayne needs, if he plans to use p pounds of almonds

Step-by-step explanation:

Ration of Almonds:cashows = 1:2

Almonds/cashows = 1/2

2Almonds = cashows

f() = 2p <--> cashows = 2Almonds

As a result, the function represents the number of pounds of cashews Wayne needs, if he plans to use p pounds of almonds

2) Find the area. * 12 ft 12 ft​

Answers

Answer:

the answer is 144

Step-by-step explanation:

just multiply 12 by 12.

Answer:

144 ft.

Step-by-step explanation:

It is 12 x 12 which is 144 so it is 144 ft.

Peter is the owner of a hardware supply shop. He has hired you to check his machines calibration prior to starting production on a large order. To check this, you set the machine to create 2.0 inch nails and manufacture a random sample of 200 nails. That sample of nails has an average length of 2.024 inches with a standard deviation of 0.205 inches.


Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs?

Answers

Answer:If we compare the p value and the significance level assumed we see thatso we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can conclude that the true mean is not different from the specification at 1% of signficance.  

Step-by-step explanation:

The machine is working properly based on the convincing evidence provided by the sample.

How to calculate the test statistics.

For the null hypothesis, we would test that:

H0 : p = 2

For the alternate hypothesis, we would test that:

Ha > p = 2

In Mathematics, the test statistics of a given sample is calculated by using this formula:

[tex]Z=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }[/tex]

Where:

x is the sample mean.u is the mean.is the standard deviation.n is the sample size.

Substituting the given parameters into the formula, we have;

[tex]Z=\frac{2.024\;-\;2}{\frac{0.205}{\sqrt{200} } }\\\\Z=\frac{0.024}{\frac{0.205}{14.14} }\\\\Z=\frac{0.024}{0.0145 }[/tex]

Z = 1.66.

For the p-value:

P(Z > Zo) = P(Z > 1.66)

P(Z > 1.66) = P(Z < -1.66)

P(Z < -1.66) = 0.0485.

From the z-table, a z-score of 1.66 corresponds has a p-value of 0.0485. Therefore, the p-value for this test is 0.0485 < 2 while assuming a confidence level of 95%.

In conclusion, we fail to reject the null hypothesis because 0.0485 < 2.

Read more on null hypothesis here: https://brainly.com/question/14913351

How can I do this dudhhehrhr

Answers

Answer:

the answer is 30

Step-by-step explanation:

(6+4) * 3

Do what is in the parenthesis!

(6+4) = 10

Then do the *3

10*3 = 30!

Hope this help! Goodluck!

can you help me with 1 - 4

Answers

Me das mas información porfavor?

Use three different ways to write a ratio for each comparison. A sixth grade basketball team has 3 centers, 5 forwards, and 6 guards.
Forwards to Guards
Centers to Total Players

Answers

Answer:

Try photo math, it will explain it all to you

Here is a cuboid,
80 cm
30 cm
30 cm
Work out the total surface area of this cuboid.
(4)

Answers

Length = 80

Breadth = 30  

Height = 30

Total surface area of a cuboid is=

2 ( lb + bh + hl )

Putting the values in the formula,

We get,

= 2 [ (80 x 30) + (30 x 30) + (30 x 80)]

= 2 (2400 + 900 + 2400)

= 8100 cm²

THANK YOU!!

Sidhdi

Please help me with this

Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.

A. 6 meters per second
B. 5 meters per second
C. 7 meters per second
D. 4 meters per second

Answers

Used Desmos and you’ll get your answer but do like 4m or y=4

20% of __ = 18 Please help me Thank you Sooo Much

Answers

Answer: 20% of 90 = 18

Answer:

90%

Step-by-step explanation:

i hope this helps:)

Smart
vb][po. Follett - Drawing D...
Apps
FOCPS Dashboard Springboard - Engli...
03:16
EX
By yourself, use the model to predict the number of
violent crimes in the year 2020.
violent Crimes in the United States
The linear equation that best models this
relationship is y = -31,256x + 1,773,900, where
x represents the number of years since 1993 and
y represents the number of violent crimes.
Number of Violent Crimes Committed
2000000
1800000
1600000
1400000
1200000
1000000
800000
600000
400000
200000
Assuming the trend continues, use the model to
predict the number of violent crimes in the year
2020
06 24 6 8 10 12 14 16 18 20
Years Since 1993
Source: United States Department of Justice, https://ucr.fbi.gov/
from Math Nation, Section 10 - Topic 4. Independent Practice

Answers

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

the first one help please asap, i will mark as brainliest

Answers

Answer:

They originally paid $28,750

Source:

Trust me bro, I used a calculator

59,000-1500= 57,500/2=28,750

A square pyramid is shown below.



Which shapes could be formed by slicing the square pyramid by a plane? Select all that apply.
A. circle
B. triangle
C. rectangle
D. trapezoid
E. square

Answers

Answer:

B and e

Step-by-step explanation:

The shape is a square.

What is a Square Pyramid?

'A square pyramid is a  three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'

According to the given problem,

If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.

Hence, we concluded that square could be formed by slicing the square pyramid by a plane.

Learn more about square pyramid here: https://brainly.com/question/27350043

#SPJ2

Can somebody help me

Answers

Answer:

still stuck but when i get the correct answer i will tell u

Step-by-step explanation:

d or b

The daily water consumption for an Ohio community is normally distributed with a mean consumption of 519,645 gallons and a standard deviation of 71,564 gallons. The community water system will experience a noticeable drop in water pressure when the daily water consumption exceeds 782,238 gallons. What is the probability of experiencing such a drop in water pressure

Answers

Answer:

0.0001

Step-by-step explanation:

The computation of the probability of experiencing such a drop in water pressure is shown below:

Given that

mean = 519,645 gallons

Standard deviation = 71,564 gallons

Now the probability is

= 1 - p (x - mean ÷ standard deviation <  782,238 - 519,645 ÷ 71,564)

= 1 - p(z<3.67)

= 1 - 0.9999

= 0.0001

Calculate the number of fluid ounces in 7 cups.

Answers

There are 56 fluid ounces in 7 cup

The sum of three consecutive positive numbers is 147. Find the product of the greatest and the
smallest number.

Answers

Answer:

any how there are three consecutive positive numbers

factorise x^{2} +2x-24[/tex]

Answers

Answer:

(x + 6)(x - 4)

Step-by-step explanation:

x² + 2x - 24

(x + 6)(x - 4)

-4 and +6 multiply to 24 and add to +2.

You have 2 spreads, 5 meats, and 2 kinds of bread. How many different sandwiches can you make using one of each type of ingredient?

A) 9
B) 12
C) 20
D) 40

Answers

Answer:

C)

Step-by-step explanation:

✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧ ✅ C.) 20 I WOULD APPRICIATE BRAINLIEST! ~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡ ~

you roll a fair 6 sided dice twice. what is the probability of rolling a 2 the first time and a number greater then 1 the second time?

Answers

Answer:

5/6

Step-by-step explanation:

Because there are 6 sides, and it's saying we need a greater number than 1. And there are 5 other numbers.

what's the following rotational symmetries of oranges regular hexagon​

Answers

Answer:

rotational symmetry of 60 degrees around the origin - yes

rotational symmetry of 120 degrees around the origin - yes

Step-by-step explanation:

A regular hexagon has 6 congruent angles

the the angles created on the line of symmetry are equal to 60 so the angle of rotational symmetry is 60 degrees.

The regular hexagon, like stated before, has 6 congruent angles so the order of symmetry is 6

Here is a visual from basic-matematics

Find the value of the triangle h=?

Answers

i don’t know sorry bro sorry

Answer:

h = 7.61 ft

Step-by-step explanation:

area = 29 ft²

area = 1/2 × h × h

29 ft² = 1/2 × h × h

29 × 2 = h²

58 = h²

√58 = h

7.61 ft = h


The car owned by a person is part of his or her
a. investment assets
b. liquid assets
C. long term assets
d. use assets
Please select the best answer from the choices provided

Answers

I think the answer is c ngl

Functions:

In image 1: Evaluate the functions

In image 2: Given the functions, find their inverse, if possible and if not possible, redefine Domain or Range

Answers

Answer:

Image 1

1. x = 4

f(4) = (- 3*4 + 1) / 6 = -11/6

2. x = -2/3

f(-2/3) = -3*(-2/3) + 10 = 2 + 10 = 12

3. x = -5

f(-5) = [tex]\sqrt{-(-5)/20}[/tex] = [tex]\sqrt{5/20}[/tex] = [tex]\sqrt{1/4}[/tex] = 1/2Image 2To work out the inverse, substitute f(x) with x and x with y, then solve for y. The new function is the inverse of the given.

1. f(x) = 5x + 3

x = 5y + 3 ⇒ 5y = x - 3 ⇒ y = (x - 3)/5f⁻¹(x) =  (x - 3)/5

2. f(x) = 4/5x

x = 4/5y ⇒ y = 5/4xf⁻¹(x) = 5/4x

3. f(x) = (2x + 7)/4

x = (2y + 7)/4 ⇒ 2y + 7 = 4x ⇒ 2y = 4x - 7 ⇒ y = 2x - 3.5f⁻¹(x) = 2x - 3.5

4. f(x) = (2x + 7) /(x + 3) = 2 + 1/(x + 3)

x = 2 +  1/(y + 3) ⇒ x - 2 = 1/(y + 3) ⇒ y + 3 = 1/(x - 2) ⇒ y = (1 - 3x + 6)/(x - 2) ⇒ y = (7 - 3x)/(x - 2)f⁻¹(x) =  (7 - 3x)/(x - 2)

5. f(x) = [tex]\sqrt{x - 4}[/tex]

x = [tex]\sqrt{y - 4}[/tex] ⇒ x² = y - 4 ⇒ y = x² + 4f⁻¹(x) = x² + 4

Which one shows the closest distance that the tip of the hand travels from 12 to 4

Answers

Answer:

if you want the answer us photo math I think !

Quadrilateral GHIJ is dilated by a scale factor of 22 to form quadrilateral G'H'I'J'. What is the measure of side H'I'?

Answers

Answer:

[tex]H'I = 48[/tex]

Step-by-step explanation:

Given

See attachment for complete question.

From the attachment, we have:

[tex]GH=16.5[/tex]

[tex]HI =24[/tex]

[tex]IJ = 17[/tex]

[tex]JG =32.2[/tex]

[tex]k = 2[/tex] --- Scale factor

Required

Find H'I

The corresponding side of H'I is HI.

So:

H'I is calculated as:

[tex]H'I = k * HI[/tex]

This gives:

[tex]H'I = 2 * 24[/tex]

[tex]H'I = 48[/tex]

Answer I to j is 42

Step-by-step explanation:

help plsssss importantt...............

Answers

Hey! So i just answered on that other one!! I’m sorry that guy wasted your points:(( check your notifs my answer should be there :)
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