A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 421 gram setting. It is believed that the machine is underfilling the bags. A 21 bag sample had a mean of 416 grams with a standard deviation of 29. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Answers

Answer 1

Answer:

Zstatistic < Zcritical ; then we reject the null

-0. 790 > - 1.96

Hence, we fail to reject the Null

Step-by-step explanation:

Define the null and alternative hypothesis :

H0 : μ = 421

H1 : μ < 421

Given that :

Sample mean (x) = 416

Sample standard deviation, s = 29

α = 0.025

Sample size, n = 21

This is a lef tailed teast, hence if ;

Decision Rule :

Zstatistic < Zcritical ; then we reject the null

Zcritical at α = 0.025 (1 tailed) = - 1.96

Zstatistic = (x - μ) s/sqrt(n)

(416 - 421) / 29/sqrt(21)

Zstatistic = - 5 / 6.3283188

Zstatistic = - 5 / 6.3283188 = - 0.79

-0. 79 > - 1.96

Hence, we fail to reject the Null


Related Questions

which expression is equivalent to:​

Answers

B, you flip the first fraction change the sign and keep the last fraction the same.

D. (3/5)(9/7)

Since 3/5 divided by 7/9 equals 27/35 and (3/5)(9/7) equals 27/35 they are equivalent.

Symify 9 to the 2 power / 9 to the 7 power

Answers

9514 1404 393

Answer:

  1/9^5

Step-by-step explanation:

  [tex]\dfrac{9^2}{9^7}=\dfrac{9\cdot 9}{9\cdot 9\cdot 9\cdot 9\cdot 9\cdot 9\cdot 9}=\dfrac{1}{9\cdot 9\cdot 9\cdot 9\cdot 9}=\boxed{\dfrac{1}{9^5}}[/tex]

_____

An exponent is an indicator of repeated multiplication. As you can see, factors in the numerator cancel those in the denominator, so the result is the difference of the exponents.

What is the slope of the line that passes through the points
10, -8) and
(-8, -16)? Write your answer in simplest form.

Answers

Step-by-step explanation:

(10, -8) (-8, -16)

(-16+8)/(-8-10) = -8/-18= 4/9 is the slope

At a football stadium, 20% of the fans in attendance were teenagers. If there
were 120 teenagers at the football stadium, what was the total number of
people at the stadium?

Answers

Answer:cgffffffffh

Step-by-step explanation:

Answer:600

Step-by-step explanation:

10%= 60 people

Multiply 60x10 to reach 100%

100%= 600 people

4. If 4 bananas weigh 4 4/5 kilograms , how
many kilograms would you expect 3
bananas to weigh?
A.
//
C. 3
B. 1
}
D. D.8

Answers

Answer:

It's the same process, change 4 4/5 to an improper fraction = 24/5 then set up a proportion

4 bananas/(24/5) kg = 3 bananas/x kg take cross products

4x = 3 (24/5) = 72/5  divide by 4 (this is the same as multiplying by 1/4)

x = 72/20, change this to a mixed number = 3 12/20 = 3 3/5 kg

Step-by-step explanation:

What is a natural number and what is a whole number? Explain..

Answers

Natural numbers are a part of the number system which includes all the positive integers from 1 till infinity and are also used for counting purpose. It does not include zero. In fact, 1,2,3,4,5,6,7,8,9…., are also called counting numbers excluding zero, fractions, decimals and negative numbers.

The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero). Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.

Natural numbers are also all numbers 1, 2, 3,4.. and so on. They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart, -4, -3, -2, -1, 0,1, 2, 3, 4,…

So in all these words, this means that natural numbers are all the numbers not including 0 and negative and whole numbers are all the numbers including 0 and negative.

he line of symmetry for the quadratic equation y = ax 2 - 8x - 3 is x = 2. What is the value of "a"?

A. -2
B. -1
C. 2

Answers

9514 1404 393

Answer:

  C. 2

Step-by-step explanation:

When the coefficients of the standard-form quadratic are a, b, and c, the equation of the line of symmetry is ...

  x = -b/(2a)

Solving for 'a', we find ...

  a = -b/(2x)

For the given values b=-8 and x=2, the value of 'a' is ...

  a = -(-8)/(2·2) = 8/4 = 2

The value of "a" is 2.

Daughter’s current age is 6 years which is 1/5 th of her mother’s age. After how many years mother’s age will be three times greater than daughter’s age.

Answers

Answer:

6 years

Step-by-step explanation:

6 = ⅕m

m = 30

"mother's age will be three times greater than daughter's age"—Not sure what "three times greater than" means. I will interpret it as: "mother's age will be three times daughter's age."

In x years, mother will be 30+x and the daughter will be 6+x.

30+x = 3(6+x) = 18+3x

12 = 2x

x = 6

In 6 years, the mother will be 36 and the daughter will be 12.

(+50)x(-10)

Respuesta, explicación, operación completa

Answers

Answer:

-500

Step-by-step explanation:

Simplify the expression 3s - 3s 35 - 3s =​

Answers

Answer:

6s-35

Step-by-step explanation:

not sure

6s-35. Use a simplifying calculator, it will be much easier for you!!

PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2x+30 = 90 (Choice A)

definitely choice A. 2x+30=90

Can someone help me? Thank you!

Answers

Answer:

I believe that the one that is NOT true is Option, letter C.  Pls mark brainliest.

Answer:The answer is D

Step-by-step explanation:The Line could intercept the x axis but Sometimes it can only intercept the x axis such as x=7 it only intercepts (7,0) and not (0, any real number.) so that is why that is the answer.

Also brainly pls.

7. Put these numbers into greatest to least order: 8.25, 8.52, 8.45, 8.54, 8.504

Answers

Answer:

8.54, 8.504, 8.52, 8.45, 8.25

Step-by-step explanation:

Find the value of x when y=13. Y=-3x+4

Answers

Answer: x= -3

Explanation:
If y is equivalent to 13 then our equation would be

13=-3(x)+4

To receive what x is then you’d have to switch it around and find it as

3x+13=4

And 3x=-9

If you divide both sides by 3 then

x=-3

That’s the best I can do to explain it

Solve for m:

14m = 35
A. m = 5/3
B. m = 3/4
C. m = 2/5
D. m = 5/2

Answers

Answer:

D. m = 5/2

Step-by-step explanation:

35 / 14 = m

35 / 14 = 2.5

2.5 as a fraction is 5/2

The equivalent value of m is given by the expression m = 5/2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To solve for m, we need to isolate m on one side of the equation by dividing both sides by 14:

14m/14 = 35/14

Simplifying, we get:

m = 35/14

On further simplification of the equation , we get

m = (35/7)/(14/7)

m = 5/2

Hence , the equation is m = 5/2.

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

There are 60 dogs at the doggie daycare, 1/3 of the dogs are large dogs, 1/6 of the dogs are medium dogs, and the rest are small dogs. How many small dogs are there? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!)
A. 1/17
B. 136
C. 30
D. 2/19
E. 25

Answers

Answer:

C. 30

Step-by-step explanation:

First, you want to make the two fractions have the same denominator. This means, that instead of saying that 1/3 of the dogs being large, you would say that 2/6 of the dogs are large. Then, combine the amount of large and medium dogs, making large and medium dogs 3/6 of all the dogs. The amount of small dogs must complete this fraction, so now we know that 3/6 of the dogs are small. This means half of the dogs are small dogs. Divide 60 by 2, and you have your answer.

The answer would be 30 small dogs

1/3×60 =20 = 20 large dogs

1/6×60=10= 10 medium dogs

20+10=30

60-30=30 = 30 small dogs

Do I have the right answer?

Answers

Yes, I think I’m not sure correct me if I’m wrong .

Complete the statement with <, >, or=.

PLEASEE HELP

Answers

Answer:

< LK

Step-by-step explanation:

The higher the angle, the bigger the opposite side, so since 123 is bigger than 114, LK is bigger than MN

13+(x+8) plz i need help

Answers

Answer:

21+x

Step-by-step explanation:

Because this does not equal anything, we can't solve for x. Instead, we can just simplify the equation. Since there is a + sign to the left of the parentheses, it shows that we do not need to distribute.

13+(x+8)

21+x

Hope this helps!! Have a nice day ^^

Answer:

First off you would distribute the invisible positive 1 to the x and 8

Then you will get 13+x+8

Last add 13 and 8 to get 21

Your final answer is 21+x

Step-by-step explanation:

Answer two questions about Systems AAA and BBB: System AAA \text{\quad}start text, end text System BBB \begin{cases}5x+y=3\\\\4x-7y=8\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 5x+y=3 4x−7y=8 ​ \begin{cases}5x+y=3\\\\x+8y=-5\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 5x+y=3 x+8y=−5 ​ 1) How can we get System BBB from System AAA?

Answers

Answer:

First One is C and the second one is A

Step-by-step explanation:

I got it wrong then found out the answers

Systems of equations are collection of multiple equations

We can get system B from system A by: subtracting both equations in system A and by bringing the first equation of system A

The systems of equations are given as:

System A

5x + y = 3

4x - 7y = 8

System B

5x + y = 3

x + 8y= -5

Subtract 4x - 7y = 8 from 5x + y = 3

So, we have:

[tex]\mathbf{5x - 4x + y+7y = 3 - 8}[/tex]

[tex]\mathbf{x + 8y =- 5}[/tex]

This means that, we can get system B from system A by:

Subtracting both equations in system AAnd by rewriting the first equation of system A

Read more about systems of equations at:

https://brainly.com/question/12895249

why is 4320 divisible by 3, 9, and 10

Answers

Answer:

One integer A is divisible by another integer B,

if after dividing them, A ÷ B, the remainder is zero.

4,320 is divisible by 10, if there is an integer 'n' such that 4,320 = 'n' × 10.

Notice that dividing our numbers leaves no remainder:

4,320 ÷ 10 = 432 + 0;

So, 4,320 = 432 × 10;

=> 4,320 is divisible by 10.

10 is called a divisor (a factor) of 4,320.

10 | 4,320

The shorthand notation A | B means A divides B.

4,320 is a multiple of 10.

Note that this is also the first step of the Euclidean Algorithm, where the division of the numbers stops when a remainder equal to zero is reported.

4,320 is divisible by 10:

10 | 4,320

Step-by-step explanation:

PLEASE HELP WITH THESE QUESTIONS I HAVE 5 MINUTES LEFT

What is 4 superscript 5 written in expanded form?
O 4 + 4 + 4 + 4 + 4
O 4 times 4 times 4 times 4 times 4
O 5 + 5 + 5 + 5
O 5 times 5 times 5 times 5

Answers

Answer:

4+4+4+4+5

Step-by-step explanation:

is 5 times the number only expanded

Answer:

4+4+4+4+5

Step-by-step explanation:

PLS HELP!!!! WILL GIVE BRAINLIEST!!!!

Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for
(0,4)
(-3,0)

Answers

(3,0) (-4,0)

not for sure but still mark brainliest cause i need it ✋ im doing bad rn

Round 13.045 to the nearest whole number.

Answers

Answer:

13. it says nearest whole number.

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

How much water do you add:
To make 25% sugar syrup using 15g of sugar?

Answers

Answer:

amount of water required = 45 g

Step-by-step explanation:

Answer:

45g

Step-by-step explanation:

97 - 3 + 5³ ÷ 25 × 2 ×3² =

Answers

Answer:

139

Step-by-step explanation:

PEMDAS or Order of Operations

4.)Given m = 1/2 and the point (3, 2), which of the following is the point-slope form of the equation?


y - 2 = 1/2(x - 3)


y + 3 = 1/2(x + 2)


y - 3 = 1/2(x - 2)


y + 2 = 1/2(x + 3)

Answers

Answer:

y - 2 = 1/2(x - 3)

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Which statement is true regarding the functions on the graph?

Answers

Answer:

f(-3) = g(-3)

Step-by-step explanation:

f(-3) = -4

g(-3) = -4

Therefore, they intersect at that point.

Use the graph to find the slope and y-intercept to write the equation in slope-intercept form.

On a coordinate plane, a line goes through points (negative 2, 0) and (0, negative 1).

The graph shown is y =
x +
.

Answers

Answer:

[tex]m = -\frac{1}{2}[/tex]

[tex]y\ intercept = -1[/tex]

[tex]y = -\frac{1}{2}x -1[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-2,0)[/tex]

[tex](x_2,y_2) = (0,-1)[/tex]

Required

Determine the slope and y intercept from graph

To calculate the slope, we have:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-1-0}{0 - (-2)}[/tex]

[tex]m = \frac{-1}{0 +2}[/tex]

[tex]m = -\frac{1}{2}[/tex]

The y intercept is when [tex]x = 0[/tex]

So,

[tex]y\ intercept = -1[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = -\frac{1}{2}(x - (-2)) + 0[/tex]

[tex]y = -\frac{1}{2}(x - (-2))[/tex]

[tex]y = -\frac{1}{2}(x +2)[/tex]

[tex]y = -\frac{1}{2}x -\frac{1}{2}*2[/tex]

[tex]y = -\frac{1}{2}x -1[/tex]

See attachment for graph

Answer:

The graph shown is y = -1/2

x +-1 .

Step-by-step explanation:

did on edge

Your class is in groups, working on a combinatorics worksheet. One of the questions asks how many possible ways 5 books out of a box of 12 can be placed on a shelf. Your classmate suggests you calculate 12C5, which is 792. What would you say to explain how this suggestion is flawed, and how would you help correct them

Answers

Answer: 95040

Step-by-step explanation:

It is important to note that selection and arrangement are two different things in permutation and combination study. In the scenario above, we have 12 books, out of which 5 is to be arranged on a shelf. The answer prescribed by 12C5 which gives 792, only solves the selection process of choosing 5 books from a total of 12. Every 5 books picked will also have to be arranged on the shelf which is solved as n!(number of ways of arranging n different objects)

Hence, to arrange 5 books from a total of 12 books on a book shelf is

nCr * r!

12C5 * 5!

792 * 120

= 95040

Other Questions
How did the transcontinental railroad change the US Make x the subject of the formulaX + p = q How do I add 1/8 + 2/6 Raul used the steps shown below to solve the equation. In which step did Raul make a mistake?5x-3(2x+7)=2x+9Step 1: 5x-6x-21=2x+9Step 2: -11x-21=2x+9Step 3: -12x=30Step 4: x=-30/12A. Step 1B. Step 2C. Step 3D. Step 4 Tennis: Which of the following is a true statement for winning a set.aa set can be won by a score of 5-3ba set can be won by a score of 6-3ca set can be won by a set of 6-5dNone of the above ACFG is a parallelogram, If AX = 4y + 3 and XF = 2y + 7, find AX. Tom Gregory is the practice manager for a local urologist. The practice has a detailed set of financial policies dealing with required payments from patients, but the staff have not been enforcing the policies and patients are not familiar with the requirements or the reasoning behind these policies. How does Mr. Gregory address this issue? HELP LOOK AT THE FILE!!! Line v has a slope of 4/9 Line w is parallel to line v. What is the slope of line v? What is the top of a wave called?Athe peakBthe amplitudeCthe wavelengthDthe pattern What is the price of a $25 meal with a 20% tip? A hot air balloon is descending at a rate of 287 feet per minute.Find the total change in elevation of the balloon in 4 minutes. La frase mantengan en constante evolucin significa que las tradiciones en Panam son:A. exclusivo de su culturaB. hacerse ms popularC. siempre manteniendo las costumbresD. siempre cambiante Third parties suffering from the effects of factory pollution is an example ofA. consumer actionB. positive externalityC. negative externalityD. government resources A solid sphere of radius R = 5 cm is made of non-conducting material and carries a total negative charge Q = -12 C. The charge is uniformly distributed throughout the interior of the sphere. What is the magnitude of the electric potential V at a distance r = 30 cm from the center of the sphere, given that the potential is zero at r = [infinity] ? Classify the following as either sexual or asexual reproduction. And give the specific type if asexual. Pollen from a male poplar tree fertilizes sex cells on a female poplar tree. Answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I will give brainliest for the correct answer! Please help its due today! Complete the gaps with the correct form of. If Jose can make 3 baskets in 20 seconds, what is the unit rate?